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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…

A one-world interpretation of quantum mechanics
Isaac Layton, Jonathan Oppenheim, Zachary Weller-Davies
https://arxiv.org/abs/2510.09149 https://arxiv.org/…

A one-world interpretation of quantum mechanics
The measurement problem is the issue of explaining how the objective classical world emerges from a quantum one. Here we take a different approach. We assume that there is an objective classical system, and then ask that the standard rules of probability theory apply to it when it interacts with a quantum system. Under mild assumptions, we recover the unitary dynamics, collapse and Born rule postulates from quantum theory. Nonetheless, there is no decoherence, because the quantum state remains …

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…

The foundational value of quantum computing for classical fluids
Sauro Succi, Claudio Sanavio, Peter Love
https://arxiv.org/abs/2510.09178 https://arxiv.or…

The foundational value of quantum computing for classical fluids
Quantum algorithms for classical physics problems expose new patterns of quantum information flow as compared to the many-body Schrödinger equation. As a result, besides their potential practical applications, they also offer a valuable theoretical and computational framework to elucidate the foundations of quantum mechanics, particularly the validity of the many-body Schrödinger equation in the limit of large number of particles, on the order of the Avogadro number. This idea is illustrated …

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…

Classical-quantum study of confinement in the chaotic $x^{2}y^{2}$ Yang-Mills Hamiltonian
Mario A. Quiroz-Juarez, Marco A. Zurita, Horacio Olivares-Pilon, Adrian M. Escobar Ruiz
https://arxiv.org/abs/2510.09910

Classical-quantum study of confinement in the chaotic $x^{2}y^{2}$ Yang-Mills Hamiltonian
We analyze how quantum mechanics reinstates confinement in Hamiltonian systems that are classically unstable and exhibit chaotic dynamics. Specifically, we consider two paradigmatic models: the Contopoulos Hamiltonian, an isotropic oscillator perturbed by the quartic coupling $α\, x^{2}y^{2}$, and the purely quartic Yang--Mills Hamiltonian $H=\tfrac{1}{2}(p_{x}^{2}+p_{y}^{2})+α\, x^{2}y^{2}$. Classical dynamics, characterized through Poincaré sections, Lyapunov exponents, and periodic orbits…

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…

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…

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…

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…

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 …

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…

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 …

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…

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…

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…

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

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…

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://

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

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…