Tootfinder

Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
Daniel Sabi Takou, Amidou Boukari, Assimiou Yarou Mora, Gabriel Y. H. Avossevou
https://arxiv.org/abs/2508.07228

Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass
In this paper, we construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics (SUSYQM) involving a position-dependent mass (PDM). Using a deformed algebraic structure, we generalize the creation and annihilation operators to accommodate spatially varying mass profiles. The resulting states exhibit non-classical features, such as squeezing, coherence, and modified uncertainty relations, strongly influenced by both the deformation parameter…

Iterative energy reduction Galerkin methods and variational adaptivity
Pascal Heid, Thomas P. Wihler
https://arxiv.org/abs/2509.09600 https://arxiv.org/pdf…

Iterative energy reduction Galerkin methods and variational adaptivity
Critical points of energy functionals, which are of broad interest, for instance, in physics and chemistry, in solid and quantum mechanics, in material science, or in general diffusion-reaction models arise as solutions to the associated Euler-Lagrange equations. While classical computational solution methods for such models typically focus solely on the underlying partial differential equations, we propose an approach that also incorporates the energy structure itself. Specifically, we examine…

On Irreversibility and Stochastic Systems: Part One
Giorgio Picci
https://arxiv.org/abs/2508.08330 https://arxiv.org/pdf/2508.08330

On Irreversibility and Stochastic Systems: Part One
We attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such different representations have been studied intensively and are shown to exist for stochastic diffusion models. In this setting one has however to face the preliminary justification of stochastic description for physical systems which are described by classical mechanics as inherently deterministic a…

Nonparametric Learning Non-Gaussian Quantum States of Continuous Variable Systems
Liubov A. Markovich, Xiaoyu Liu, Jordi Tura
https://arxiv.org/abs/2508.06431 https://

Nonparametric Learning Non-Gaussian Quantum States of Continuous Variable Systems
Continuous-variable quantum systems are foundational to quantum computation, communication, and sensing. While traditional representations using wave functions or density matrices are often impractical, the tomographic picture of quantum mechanics provides an accessible alternative by associating quantum states with classical probability distribution functions called tomograms. Despite its advantages, including compatibility with classical statistical methods, tomographic method remain underuti…

Multi-dimensional chaos I: Classical and quantum mechanics
Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein, Dorin Weissman
https://arxiv.org/abs/2510.03007 https://

Multi-dimensional chaos I: Classical and quantum mechanics
We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball system. In the former case it is illustrated by means of two-dimensional plots of the scattering angle and of the number of bounces. We draw similar patterns for the quantum differential cross section for various geometries of the disks. We find that the eigenvalu…

Proofs of No Intrusion
Vipul Goyal, Justin Raizes
https://arxiv.org/abs/2510.06432 https://arxiv.org/pdf/2510.06432…

Proofs of No Intrusion
A central challenge in data security is not just preventing theft, but detecting whether it has occurred. Classically, this is impossible because a perfect copy leaves no evidence. Quantum mechanics, on the other hand, forbids general duplication, opening up new possibilities. We introduce Proofs of No Intrusion, which enable a classical client to remotely test whether a quantum server has been hacked and the client's data stolen. Crucially, the test does not destroy the data being tested, av…

Irreversibility of the pendulum revisited from Husimi's adiabaticity parameter
Yuki Izumida
https://arxiv.org/abs/2509.06051 https://arxiv.org/pdf/2509…

Irreversibility of the pendulum revisited from Husimi's adiabaticity parameter
We revisit the irreversibility of the pendulum with time-dependent angular frequency, considered in a classical paper by K. Husimi. He introduced a parameter that measures the adiabaticity of a process utilizing an adiabatic invariant for the equation of motion of the pendulum. With this adiabaticity parameter, Husimi showed the irreversibility of the pendulum for a cyclic process, which is reminiscent of the Planck principle in thermodynamics, based on the microscopic mechanics. In this study,…

Flow Development in the Entrance Region of Slender Converging Pipes
Vinicius Maron Sauer
https://arxiv.org/abs/2510.05313 https://arxiv.org/pdf/2510.05313

Flow Development in the Entrance Region of Slender Converging Pipes
The hydrodynamic entrance region in internal conduits, where the velocity profile evolves to a fully developed state, is a classical problem in fluid mechanics. Although many fundamental studies involve developing flows in circular ducts with constant area -- for which several theoretical descriptions exist -- converging pipe sections are often employed, demanding the extension of the analysis to pipes with slowly varying areas. This work presents an analytical investigation of the hydrodynamic…

Is Quantum Mechanics a proper subset of Classical Mechanics?
Khaled Mnaymneh
https://arxiv.org/abs/2508.00044 https://arxiv.org/pdf/2508.00044

Is Quantum Mechanics a proper subset of Classical Mechanics?
Quantum mechanics is widely regarded as a complete theory, yet we argue it is a tractable projection of a deeper, computationally-inaccessible classical variational structure. By analyzing the coupled partial differential equations of the Hamilton type 1 principal function, we show that classical action-based dynamics are generally undecidable, paralleling spectral gap undecidability in quantum systems. In near Kolmogorov-Arnold-Moser systems, stability hinges on Diophantine conditions that are…

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Analysis of Three-Particle Elastic Collisions Using Newtonian Mechanics and Vector Geometry
Shuhei Kobayashi

Hawking tunneling radiation with thermodynamic pressure
Cheng Hu, Xiao-Xiong Zeng
https://arxiv.org/abs/2509.03552 https://arxiv.org/pdf/2509.03552

Hawking tunneling radiation with thermodynamic pressure
Hawking radiation elucidates black holes as quantum thermodynamic systems, thereby establishing a conceptual bridge between general relativity and quantum mechanics through particle emission phenomena. While conventional theoretical frameworks predominantly focus on classical spacetime configurations, recent advancements in Extended Phase Space thermodynamics have redefined cosmological parameters (such as the $Λ$-term) as dynamic variables. Notably, the thermodynamics of Anti-de Sitter (AdS) …

Newtons First Law Is Not a Special Case of the Second Law
Indresh Yadav, P. M. Geethu
https://arxiv.org/abs/2508.02246 https://arxiv.org/pdf/2508.02246

Newtons First Law Is Not a Special Case of the Second Law
Newtons Laws of Motion form the basis of classical mechanics, but misconceptions about their interrelationships persist in pedagogy. A prevalent misunderstanding is that Newtons First Law is a trivial consequence of the Second Law. This paper argues that the First Law serves a logically distinct foundational role that defines the context in which the Second Law is valid. This conceptual distinction is clarified through classical thought experiments and further supported by insights from relativ…

Quantum internal vibrations in macroscopic systems with classical centers of mass
Gabriel H. S. Aguiar, George E. A. Matsas
https://arxiv.org/abs/2509.22429 https://

Quantum internal vibrations in macroscopic systems with classical centers of mass
Harmonizing classical and quantum worlds is a major challenge for modern physics. A significant portion of the scientific community supports the notion that classical mechanics is an effective theory that arises from quantum mechanics. Recently, the present authors have argued that this should not be the case, as quantum mechanics is not trustworthy for describing the center of mass of systems with masses $m$ much larger than the Planck mass $M_\text{P}$. In this vein, a simple gravitational se…

Gradient of the Adiabatic Gauge Potential in Classical Systems
Nathan Rose, Nachiket Karve, David K. Campbell
https://arxiv.org/abs/2508.03804 https://arxi…

Gradient of the Adiabatic Gauge Potential in Classical Systems
The adiabatic gauge potential (AGP) is the generator of unitary transformations which preserve the eigenbasis of a quantum Hamiltonian under parametric variation. While its usefulness in quantum mechanics has been thoroughly demonstrated in recent years, less attention has been given to its behavior in classical systems, where the AGP is a phase space function and its gradient defines special canonical transformations. In this paper we propose an efficient method to compute the gradient of the …

Learning the action for long-time-step simulations of molecular dynamics
Filippo Bigi, Michele Ceriotti
https://arxiv.org/abs/2508.01068 https://arxiv.org/…

Learning the action for long-time-step simulations of molecular dynamics
The equations of classical mechanics can be used to model the time evolution of countless physical systems, from the astrophysical to the atomic scale. Accurate numerical integration requires small time steps, which limits the computational efficiency -- especially in cases such as molecular dynamics that span wildly different time scales. Using machine-learning (ML) algorithms to predict trajectories allows one to greatly extend the integration time step, at the cost of introducing artifacts s…

$\hbar_E$: an action constant for quantum economics
Hugo Spring-Ragain (HEIP)
https://arxiv.org/abs/2509.02647 https://arxiv.org/pdf/2509.02647

$\hbar_E$: an action constant for quantum economics
This paper introduces the concept of an economic action constant, denoted ___ E , as a structural analogue to Planck's reduced constant ___ in quantum mechanics. Building on canonical quantization, we define ___ E as the fundamental scale of irreducible uncertainty in macroeconomic dynamics through non-commuting observables ( X, PX ), derive uncertainty relations and a semi-classical limit, and study spectral properties under a double-well economic potential. Numerical simulations show that ___…

Alternative tangent and cotangent structures and their physical applications
Jos\'e F. Cari\~nena, Jes\'us Clemente-Gallardo, Giuseppe Marmo
https://arxiv.org/abs/2509.20855

Alternative tangent and cotangent structures and their physical applications
The conditions under which a given manifold $M$ may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different contexts. For instance, in the study of integrability of a given dynamics the existence of alternative compatible structures is very relevant, as well as in the geometric approach to Classical Mechanics. On the other hand in the quantum-to-classical transition, a Weyl system plays an important role for it provides (within …

Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-B\'enard convection
Robert Ho{\l}yst, Pawe{\l} Jan \.Zuk, Konrad Gi\.zy\'nski, Anna Macio{\l}ek, Jakub Wr\'obel, Peter Vaughan Elsmere McClintock
https://arxiv.org/abs/2510.05389

Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-Bénard convection
Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in stationary states (Hołyst et al., EPL 149, 30001 (2025)). Here, we demonstrate that this extended theory captures macroscopic motion in stationary states, thereby providing a unified framework for global thermodynamics and fluid mechanics. We apply the theor…

The decohered ZX-calculus
Titouan Carette, Daniela Cojocaru, Renaud Vilmart
https://arxiv.org/abs/2508.04296 https://arxiv.org/pdf/2508.04296

The decohered ZX-calculus
The discard ZX-calculus is known to be complete and universal for mixed-state quantum mechanics, allowing for both quantum and classical processes. However, if the quantum aspects of ZX-calculus have been explored in depth, little work has been done on the classical side. In this paper, we investigate a fragment of discard ZX-calculus obtained by decohering the usual generators of ZX-calculus. We show that this calculus is universal and complete for affinely supported probability distributions …

Gradient and Hessian-Based Temperature Estimator in Lattice Gauge Theories: A Diagnostic Tool for Stability and Consistency in Numerical Simulations
Navdeep Singh Dhindsa, Anosh Joseph, Vamika Longia
https://arxiv.org/abs/2508.05595

Gradient and Hessian-Based Temperature Estimator in Lattice Gauge Theories: A Diagnostic Tool for Stability and Consistency in Numerical Simulations
We present a field configuration-based temperature estimator in lattice gauge theories. It is constructed from the gradient and Hessian of the Euclidean action of the theory. Adapted from geometric formulations of entropy in classical statistical mechanics, this estimator provides a gauge-invariant, non-kinetic diagnostic of thermodynamic consistency in Monte Carlo simulations of lattice gauge theories. We validate the method in compact U(1) lattice gauge theories across one, two, and four dime…

Spin glasses and the Parisi formula
Jean-Christophe Mourrat
https://arxiv.org/abs/2510.01054 https://arxiv.org/pdf/2510.01054

Spin glasses and the Parisi formula
Spin glasses are models of statistical mechanics in which a large number of simple elements interact with one another in a disordered fashion. One of the fundamental results of the theory is the Parisi formula, which identifies the limit of the free energy of a large class of such models. Yet many interesting models remain out of reach of the classical theory, and direct generalizations of the Parisi formula yield invalid predictions. I will report here on some partial progress towards the reso…

A Hybrid Optimal Velocity Drag Model for Traffic Flow Dynamics
Nizhum Rahman, Trachette L. Jackson
https://arxiv.org/abs/2509.22671 https://arxiv.org/pdf/2…

A Hybrid Optimal Velocity Drag Model for Traffic Flow Dynamics
We develop a Hybrid Optimal Velocity-Drag (OVD) model that combines the behavioral structure of the classical Optimal Velocity Model (OVM) with a drag-based saturation law motivated by Newtonian mechanics. The model retains the OVM principle that desired speed depends on headway, but replaces the linear relaxation law with a formulation that enforces bounded accelerations and smooth convergence to equilibrium. After reviewing the OVM framework and its stability properties, we introduce the OVD …

Statistical Signatures of Integrable and Non-Integrable Quantum Hamiltonians
Feng He, Arthur Hutsalyuk, Giuseppe Mussardo, Andrea Stampiggi
https://arxiv.org/abs/2510.02440 http…

Statistical Signatures of Integrable and Non-Integrable Quantum Hamiltonians
Integrability is a cornerstone of classical mechanics, where it has a precise meaning. Extending this notion to quantum systems, however, remains subtle and unresolved. In particular, deciding whether a quantum Hamiltonian - viewed simply as a matrix - defines an integrable system is far from obvious, yet crucial for understanding non-equilibrium dynamics, spectral correlations, and correlation functions in many-body physics. We develop a statistical framework that approaches quantum integrabil…

Robust and cost-effective quantum network using Kramers-Kronig receiver
Xu Liu, Tao Wang, Junpeng Zhang, Yankai Xu, Yuehan Xu, Lang Li, Peng Huang, Guihua Zeng
https://arxiv.org/abs/2509.06711

Robust and cost-effective quantum network using Kramers-Kronig receiver
The quantum internet holds the potential to facilitate applications that are fundamentally inaccessible to the classical internet. Among its most prominent applications is quantum key distribution (QKD) networks, which connect two distant nodes to establish a secure key based on the principles of quantum mechanics. However, the subsequent extensive reliance on interferences in existing QKD protocols leads to the weak robustness of the system and the corresponding network. In this work, we propo…

Mapping continuous-variable quantum states onto optical scalar beams
B. M. Rodr\'iguez-Lara, F. E. Becerra
https://arxiv.org/abs/2509.12426 https://arx…

Mapping continuous-variable quantum states onto optical scalar beams
Optical fields provide an accessible platform to explore connections between classical and quantum mechanics. We introduce a group-theoretic framework based on the $\mathrm{su}(1,1)$ Lie algebra to construct classical analogs of continuous-variable quantum states using the spatial degree of freedom of paraxial scalar beams. Our framework maps squeezed number states onto scalar beams expanded in orthonormal Gaussian modal bases, encompassing both Gaussian and non-Gaussian classical analogs, incl…

Jacobi Hamiltonian Integrators
Ad\'erito Ara\'ujo, Gon\c{c}alo Inoc\^encio Oliveira, Jo\~ao Nuno Mestre
https://arxiv.org/abs/2507.18573 https://ar…

Jacobi Hamiltonian Integrators
We develop a method of constructing structure-preserving integrators for Hamiltonian systems in Jacobi manifolds. Hamiltonian mechanics, rooted in symplectic and Poisson geometry, has long provided a foundation for modelling conservative systems in classical physics. Jacobi manifolds, generalizing both contact and Poisson manifolds, extend this theory and are suitable for incorporating time-dependent, dissipative and thermodynamic phenomena. Building on recent advances in geometric integrator…

Asymptotic instability for the forced Navier--Stokes equations in critical Besov spaces
Mikihiro Fujii, Hiroyuki Tsurumi
https://arxiv.org/abs/2509.21272 https://

Asymptotic instability for the forced Navier--Stokes equations in critical Besov spaces
The asymptotic stability is one of the classical problems in the field of mathematical analysis of fluid mechanics. In $\mathbb{R}^n$ with $n \geq 3$, it is easily proved by the standard argument that if the given small external force decays at temporal infinity, then the small forced Navier--Stokes flow also strongly converges to zero as time tends to infinity in the framework of the critical Besov spaces $\dot{B}_{p,q}^{n/p-1}(\mathbb{R}^n)$ with $1 \leq p < n$ and $1 \leq q < \infty$. In the…

Quantum Advantage in Identifying the Parity of Permutations with Certainty
Arnau Diebra, Santiago Llorens, David Gonz\'alez-Lociga, Albert Rico, John Calsamiglia, Mark Hillery, Emili Bagan
https://arxiv.org/abs/2508.04310

Quantum Advantage in Identifying the Parity of Permutations with Certainty
We establish a sharp quantum advantage in determining the parity (even/odd) of an unknown permutation applied to any number $n \ge 3$ of particles. Classically, this is impossible with fewer than~$n$ labels, being the success limited to random guessing. Quantum mechanics does it with certainty with as few as $\lceil \sqrt{n}\, \rceil$ distinguishable states per particle, thanks to entanglement. Below this threshold, not even quantum mechanics helps: both classical and quantum success are limite…

Quantum nature of gravitational waves from binary black holes
Sugumi Kanno, Jiro Soda, Akira Taniguchi
https://arxiv.org/abs/2508.17947 https://arxiv.org/p…

Quantum nature of gravitational waves from binary black holes
Quantum mechanics is the fundamental framework of nature, and gravitational waves from binary black holes should likewise be analyzed quantum mechanically. It is commonly assumed that their classical description corresponds to a coherent state, so any deviation would signal genuinely quantum nature of gravity. We show that the coherent-state description reproduces classical gravitational waves at leading order, while next-order effects generate squeezed states of gravitons. For GW150914, we est…

Absence of quantum Darwinism as a resource in secure quantum communication and computation
Bishal Kumar Das, Sourav Manna, Vaibhav Madhok
https://arxiv.org/abs/2510.03225 https:…

Absence of quantum Darwinism as a resource in secure quantum communication and computation
The emergence of classical world from underlying quantum mechanics is characterized by not only vanishing quantum correlations but also an unfolding of objectivity also known as quantum Darwinism. We show that the absence of this objectivity has a quantum advantage in cryptography and also provides the crucial missing link in efficient classical simulation of quantum circuits with zero discord. For this purpose, we consider a model of mixed state quantum computation where one is promised concor…

Classical Mechanics on Finite Spaces
Kaustav Giri, V. V. Sreedhar
https://arxiv.org/abs/2509.15231 https://arxiv.org/pdf/2509.15231

Classical Mechanics on Finite Spaces
The connection between topology and quantum mechanics is one of the cornerstones of modern physics. Several examples of current interest like the Aharonov-Bohm effect in quantum mechanics, monopoles and instantons in quantum field theory, the quantum Hall effect in condensed matter physics, anyons in topological quantum computation, and the AdS-CFT correspondence in string theory illustrate this connection. Since classical mechanics is a limiting case of quantum mechanics, it behooves us to a…

Efficient lattice field theory simulation using adaptive normalizing flow on a resistive memory-based neural differential equation solver
Meng Xu, Jichang Yang, Ning Lin, Qundao Xu, Siqi Tang, Han Wang, Xiaojuan Qi, Zhongrui Wang, Ming Xu
https://arxiv.org/abs/2509.12812

Efficient lattice field theory simulation using adaptive normalizing flow on a resistive memory-based neural differential equation solver
Lattice field theory (LFT) simulations underpin advances in classical statistical mechanics and quantum field theory, providing a unified computational framework across particle, nuclear, and condensed matter physics. However, the application of these methods to high-dimensional systems remains severely constrained by several challenges, including the prohibitive computational cost and limited parallelizability of conventional sampling algorithms such as hybrid Monte Carlo (HMC), the substantia…

Crosslisted article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Robustness of classical nucleation theory to chemical heterogeneity of crystal nucleating substrates
Fernanda Sulantay Vargas, Sarwar Hussain, Amir Haji-Akbari

Medicine show: A Calogero model with principal series states
Tarek Anous, Jackson R. Fliss, Jeremy van der Heijden
https://arxiv.org/abs/2507.17811 https://

Medicine show: A Calogero model with principal series states
The Calogero model is an interacting, $N$-particle, $\mathfrak{sl}(2,\mathbb R)$-invariant quantum mechanics, whose Hilbert space is furnished by a tower of discrete series modules. The system enjoys both classical and quantum integrability at any $N$ and at any value of the coupling; this is guaranteed by the existence of $N$ mutually-commuting currents, one of them being the Hamiltonian. In this paper, we alter the Calogero model so that it may accommodate states in the unitary principal seri…

Twist fields in many-body physics
Benjamin Doyon
https://arxiv.org/abs/2509.15064 https://arxiv.org/pdf/2509.15064

Twist fields in many-body physics
The notion of twist fields has played a fundamental role in many-body physics. It is used to construct the so-called disorder parameter for the study of phase transitions in the classical Ising model of statistical mechanics, it is involved in the Jordan-Wigner transformation in quantum chains and bosonisation in quantum field theory, and it is related to measures of entanglement in many-body quantum systems. I provide a pedagogical introduction to the notion of twist field and the concepts at …

Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Multi-dimensional chaos I: Classical and quantum mechanics
Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein, Dorin Weissman

Classical theory of electron-ion correlations at electrochemical interfaces: Closing the circuit from double-layer charging to ion adsorption
Nils Bruch, Michael Eikerling, Tobias Binninger
https://arxiv.org/abs/2507.14751

Classical theory of electron-ion correlations at electrochemical interfaces: Closing the circuit from double-layer charging to ion adsorption
The electric double layer (EDL) that forms at the interface between metals and ionic solutions is at the heart of various energy technologies. Recent experimental data have challenged our traditional understanding of the EDL charging behavior, which is based on mean-field Gouy-Chapman-Stern-type (GCS) models. In this article, we present a classical theory for the EDL, derived from first-principles statistical mechanics, that accounts for electron-ion correlation effects using the method of imag…

Relativistic second gradient theory of continuous media
Mina Chapon (LMPS), Lionel Darondeau (IMJ-PRG), Rodrigue Desmorat (LMT, LMPS), Cl\'ement Ecker (LMPS), Boris Kolev (LMPS)
https://arxiv.org/abs/2507.13030

Relativistic second gradient theory of continuous media
Variational Relativity is a framework developed by Souriau in the sixties to better formulate General Relativity and its classical limit\,: Classical Continuum Mechanics. It has been used, for instance, to formulate Hyperelasticity in General Relativity. In that case, two primary variables are involved, the universe (Lorentzian) metric $g$ and the matter field $Ψ$. A Lagrangian density depending on the 1-jet of these variables is then introduced which must satisfy the principle of General Cova…

The asymptotic behavior of simple eigenvalues of particle-in-well systems
Peter Hintz, Aaron Moser
https://arxiv.org/abs/2508.13545 https://arxiv.org/pdf/2…

The asymptotic behavior of simple eigenvalues of particle-in-well systems
The particle in a well in dimension one is a classical problem in quantum mechanics. We study higher-dimensional analogues of the problem, where the well is a smooth domain in $\mathbb{R}^d$. We show that simple eigenvalues and eigenfunctions of the corresponding Schrödinger operator depend smoothly on the square root $h$ of the inverse depth of the well and provide an explicit first-order expansion of the eigenvalues at $h = 0$. Our proof consists of two steps. In the first step, we constru…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/1]:
- Classical Mechanics on Finite Spaces
Kaustav Giri, V. V. Sreedhar
https://

Interference in Quantum Mechanics
Debadrita Ghosh, Urbasi Sinha
https://arxiv.org/abs/2508.12940 https://arxiv.org/pdf/2508.12940

Interference in Quantum Mechanics
Physicist and Nobel Laureate Richard P. Feynman once remarked ``We choose to examine a phenomenon which is impossible, absolutely impossible, to explain in any classical way, and which has in it the heart of quantum mechanics. In reality, it contains the only mystery. We cannot make the mystery go away by ``explaining'' how it works. We will just tell you how it works. In telling you how it works, we will have told you about the basic peculiarities of all quantum mechanics'' [Feynman RP, Leight…

Quantum vs Classical Thermal Transport at Low Temperatures
Zhixing Zou, Jiangbin Gong, Jiao Wang, Giulio Casati, Giuliano Benenti
https://arxiv.org/abs/2509.14027 https://

Quantum vs Classical Thermal Transport at Low Temperatures
This work aims to understand how quantum mechanics affects heat transport at low temperatures. In the classical setting, by considering a simple paradigmatic model, our simulations reveal the emergence of Negative Differential Thermal Resistance (NDTR): paradoxically, increasing the temperature bias by lowering the cold bath temperature reduces the steady-state heat current. In sharp contrast, the quantum version of the model, treated via a Lindblad master equation, exhibits no NDTR: the heat c…

Spontaneous Collapse Models
Matteo Carlesso, Sandro Donadi
https://arxiv.org/abs/2508.18822 https://arxiv.org/pdf/2508.18822…

Spontaneous Collapse Models
Collapse models are phenomenological models introduced to solve the measurement problem in quantum mechanics. They modify the Schrödinger equation by adding non-linear and stochastic terms, which induce the wavefunction collapse in space. The collapse effects are negligible for microscopic systems but become dominant in the macroscopic regime, thus also describing coherently the quantum-to-classical transition. Collapse models make different predictions compared to those of quantum mechanics; …

Geometric Phase of Stochastic Oscillators
Yangyang Du
https://arxiv.org/abs/2509.10900 https://arxiv.org/pdf/2509.10900

Geometric Phase of Stochastic Oscillators
Several definitions of phase have been proposed for stochastic oscillators, among which the mean-return-time phase and the stochastic asymptotic phase have drawn particular attention. Quantitative comparisons between these two definitions have been done in previous studies, but physical interpretations of such a relation are still missing. In this work, we illustrate this relation using the geometric phase, which is an essential concept in both classical and quantum mechanics. We use properties…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Thermalization is typical in large classical and quantum harmonic systems
Marco Cattaneo, Marco Baldovin, Dario Lucente, Paolo Muratore-Ginanneschi, Angelo Vulpiani

Lagrangian Stability Analysis Technique for Fluid Flows
Vilas J. Shinde
https://arxiv.org/abs/2509.10316 https://arxiv.org/pdf/2509.10316

Lagrangian Stability Analysis Technique for Fluid Flows
Flow transition from a stable to unstable states and eventually to turbulence is a classical fluid mechanics phenomenon with a strong practical relevance. Conventional hydrodynamic stability deals with perturbation dynamics on a steady baseflow, typically in Eulerian reference frame. Common modal techniques, e.g., linear stability theory, involve linearization of governing flow equations and flow/geometrical simplifications, which can be tedious and restrictive. This paper presents a perturbati…

Quantum Algorithms in the Quantum Mechanics Curriculum
Anna Liv Paludan Bjerregaard, Kim Splittorff
https://arxiv.org/abs/2509.11893 https://arxiv.org/pdf/…

Quantum Algorithms in the Quantum Mechanics Curriculum
We provide an example of a quantum system which solves a numerical problem more efficiently than a classical computer. The example uses the Aharonov-Bohm effect, and can be integrated into standard quantum mechanics courses. The aim is to help students build a physical intuition for quantum algorithms.

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
Joshua Matthes, Silas Robitschko, Johanna M\"uller, Sophie Hermann, Florian Samm\"uller, Matthias Schmidt
https://arxiv.org/abs/2509.19837

Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
We formulate gauge invariance for the equilibrium statistical mechanics of classical multi-component systems. Species-resolved phase space shifting constitutes a gauge transformation which we analyze using Noether's theorem and shifting differential operators that encapsulate the gauge invariance. The approach yields exact equilibrium sum rules for general mixtures. Species-resolved gauge correlation functions for the force-force and force-gradient pair correlation structure emerge on the two-b…

Private Quantum Database
Giancarlo Gatti, Rihan Hai
https://arxiv.org/abs/2508.19055 https://arxiv.org/pdf/2508.19055…

Private Quantum Database
Quantum databases open an exciting new frontier in data management by offering privacy guarantees that classical systems cannot match. Traditional engines tackle user privacy, which hides the records being queried, or data privacy, which prevents a user from learning more than she has queried. We propose a quantum database that protects both by leveraging quantum mechanics: when the user measures her chosen basis, the superposition collapses and the unqueried rows become physically inaccessible…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Classical triangular lattice antiferromagnetic Ising model as a free-fermion/superconductor system
Amir Nourhani, Vincent H. Crespi, Paul E. Lammert

Koopman-von Neumann Field Theory
James Stokes
https://arxiv.org/abs/2507.11541 https://arxiv.org/pdf/2507.11541

Koopman-von Neumann Field Theory
The classical many-body problem is reformulated as a bosonic quantum field theory. Quantum field operators evolve unitarily in the Heisenberg picture so that a quantum Vlasov equation is satisfied as an operator identity. The formalism enables the direct transfer of techniques from quantum information and quantum many-body field theory to classical nonequilibrium statistical mechanics. Implications for quantum algorithms are discussed.

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Defining classical and quantum chaos through adiabatic transformations
Hyeongjin Kim, Cedric Lim, Kirill Matirko, Anatoli Polkovnikov, Michael O. Flynn

Quantum Architecture Search for Solving Quantum Machine Learning Tasks
Michael K\"olle, Simon Salfer, Tobias Rohe, Philipp Altmann, Claudia Linnhoff-Popien
https://arxiv.org/abs/2509.11198

Quantum Architecture Search for Solving Quantum Machine Learning Tasks
Quantum computing leverages quantum mechanics to address computational problems in ways that differ fundamentally from classical approaches. While current quantum hardware remains error-prone and limited in scale, Variational Quantum Circuits offer a noise-resilient framework suitable for today's devices. The performance of these circuits strongly depends on the underlying architecture of their parameterized quantum components. Identifying efficient, hardware-compatible quantum circuit architec…

Interference between non-overlapping waves
Alan C. Santos, Celso J. Villas-Boas
https://arxiv.org/abs/2508.10622 https://arxiv.org/pdf/2508.10622

Interference between non-overlapping waves
In classical mechanics and electromagnetism, interference occurs when two or more waves overlap at the same point in spacetime. However, the advent of quantum electrodynamics (QED) and its remarkable success in describing light-matter interactions at the microscopic level invites us to reconsider whether interference-like effects could arise even when the waves do not physically overlap. In this work, we extend the notion of wave interference to a novel and unconventional regime. Building upon …

Modulator-free, self-testing quantum random number generator
Ana Bl\'azquez-Co\'ido, Fadri Gr\"unenfelder, Anthony Martin, Raphael Houlmann, Hugo Zbinden, Davide Rusca
https://arxiv.org/abs/2507.12346

Modulator-free, self-testing quantum random number generator
Quantum random number generators (QRNGs) use the inherent unpredictability of quantum mechanics to generate true randomness, as opposed to classical random number generators. However, ensuring the authenticity of this randomness still requires robust verification. Self-testing QRNGs address this need by enabling the validation of the randomness produced based on the observed data from the experiment while requiring few assumptions. In this work, we present a practical, self-testing QRNG designe…