Tootfinder

The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Jonathan Berkheim, David J. Tannor
https://arxiv.org/abs/2507.01364

The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Composite Pulses (CPs) are widely used in Nuclear Magnetic Resonance (NMR), optical spectroscopy, optimal control experiments and quantum computing to manipulate systems that are well-described by a two-level Hamiltonian. A careful design of these pulses can allow the refocusing of an ensemble at a desired state, even if the ensemble experiences imperfections in the magnitude of the external field or resonance offsets. Since the introduction of CPs, several theoretical justifications for their …

Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
Marvin Sipp, Hannes Heisler, Matthias Bartelmann
https://arxiv.org/abs/2507.02692

Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
We investigate cosmic structure formation in the framework of a path-integral formulation of an $N$-particle ensemble in phase space, dubbed Resummed Kinetic Field Theory (RKFT), up to one-loop perturbative order. In particular, we compute power spectra of the density contrast, the divergence and curl of the momentum density and arbitrary $n$-point cumulants of the stress tensor. In contrast to earlier works, we propose a different method of sampling initial conditions, with a Gaussian initial …

A continuum mechanics approach for the deformation of non-Euclidean origami generated by piecewise constant nematic director fields
Linjuan Wang, Fan Feng
https://arxiv.org/abs/2506.01309

A continuum mechanics approach for the deformation of non-Euclidean origami generated by piecewise constant nematic director fields
We merge classical origami concepts with active actuation by designing origami patterns whose panels undergo prescribed metric changes. These metric changes render the system non-Euclidean, inducing non-zero Gaussian curvature at the vertices after actuation. Such patterns can be realized by programming piecewise constant director fields in liquid crystal elastomer (LCE) sheets. In this work, we address the geometric design of both compatible reference director patterns and their corresponding …

This https://arxiv.org/abs/2312.00871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

The q-Schwarzian and Liouville gravity
We present a new holographic duality between q-Schwarzian quantum mechanics and Liouville gravity. The q-Schwarzian is a one parameter deformation of the Schwarzian, which is dual to JT gravity and describes the low energy sector of SYK. We show that the q-Schwarzian in turn is dual to sinh dilaton gravity. This one parameter deformation of JT gravity can be rewritten as Liouville gravity. We match the thermodynamics and classical two point function between q-Schwarzian and Liouville gravity. W…

Kapitza's Pendulum as a Classical Prelude to Floquet-Magnus Theory
Johannes K. Krondorfer, Maria Kainz, Matthias Diez, Andreas W. Hauser
https://arxiv.org/abs/2507.02736

Kapitza's Pendulum as a Classical Prelude to Floquet-Magnus Theory
We present a pedagogical introduction to Floquet-Magnus theory through the classical example of Kapitza's pendulum \ -- a simple system exhibiting nontrivial dynamical stabilization under rapid periodic driving. By deriving the equations of motion and analyzing the system via Floquet theory and the Magnus expansion, we obtain analytical stability conditions and effective evolution equations. While grounded in classical mechanics, the techniques are directly applicable to periodically driven qua…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/2]:
- Scaling behaviors at quantum and classical first-order transitions
Andrea Pelissetto, Ettore Vicari

A Scalable and Quantum-Accurate Foundation Model for Biomolecular Force Field via Linearly Tensorized Quadrangle Attention
Qun Su, Kai Zhu, Qiaolin Gou, Jintu Zhang, Renling Hu, Yurong Li, Yongze Wang, Hui Zhang, Ziyi You, Linlong Jiang, Yu Kang, Jike Wang, Chang-Yu Hsieh, Tingjun Hou
https://arxiv.org/abs/2507.00884

A Scalable and Quantum-Accurate Foundation Model for Biomolecular Force Field via Linearly Tensorized Quadrangle Attention
Accurate atomistic biomolecular simulations are vital for disease mechanism understanding, drug discovery, and biomaterial design, but existing simulation methods exhibit significant limitations. Classical force fields are efficient but lack accuracy for transition states and fine conformational details critical in many chemical and biological processes. Quantum Mechanics (QM) methods are highly accurate but computationally infeasible for large-scale or long-time simulations. AI-based force fie…

This https://arxiv.org/abs/1810.06981 has been replaced.
link: https://scholar.google.com/scholar?q=a

How to (Un-) Quantum Mechanics
When compared to quantum mechanics, classical mechanics is often depicted in a specific metaphysical flavour: spatio-temporal realism or a Newtonian "background" is presented as an intrinsic fundamental classical presumption. However, the Hamiltonian formulation of classical analytical mechanics is based on abstract generalized coordinates and momenta: It is a mathematical rather than a philosophical framework. If the metaphysical assumptions ascribed to classical mechanics are dropped, then th…

"Fields" in classical and quantum field theories
Alberto Ibort, Arnau Mas, Luca Schiavone
https://arxiv.org/abs/2506.15327 https://

"Fields" in classical and quantum field theories
The challenges posed by the development of field theories, both classical and quantum, force us to question their most basic and foundational ideas like the role and origin of space-time, the meaning of physical states, etc. Among them the notion of ``field'' itself is notoriously difficult to address. These notes aim to analyze such notion from the perspective offered by the groupoid description of quantum mechanics inspired by Schwinger's picture of quantum mechanics. Then, a natural interpre…

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
Shreetam Dash, Prasanta K. Panigrahi
https://arxiv.org/abs/2505.11519

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
In 1924, Satyendra Nath Bose's pioneering work laid the foundation for Bose-Einstein statistics, which describes particles with integral spins. His derivation of Planck's law for blackbody radiation bypassed classical assumptions, relying instead on the statistical mechanics of light quanta. Bose's methodology addressed limitations in existing theories, such as Einstein's dependence on classical concepts like Wien's displacement law and Bohr's correspondence principle. Further, his work undersc…

Trustworthy Artificial Intelligence for Cyber Threat Analysis
Shuangbao Paul Wang, Paul Mullin
https://arxiv.org/abs/2506.19052 https://

Trustworthy Artificial Intelligence for Cyber Threat Analysis
Artificial Intelligence brings innovations into the society. However, bias and unethical exist in many algorithms that make the applications less trustworthy. Threats hunting algorithms based on machine learning have shown great advantage over classical methods. Reinforcement learning models are getting more accurate for identifying not only signature-based but also behavior-based threats. Quantum mechanics brings a new dimension in improving classification speed with exponential advantage. In …

This https://arxiv.org/abs/2505.03551 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
While Liouville's theorem is first-order in time for the phase-space distribution itself, the relativistic mass-shell constraint $p^μp_μ= m^2$ is naively second-order in energy. We argue that it is reasonable to unify both energy branches within a single Hamiltonian by factorizing $(p^2 - m^2)$ in analogy with Dirac's approach in relativistic quantum mechanics. We show the resulting matrix-based Liouville equation remains first order and naturally yields a $4\times4$ matrix-valued probability…

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

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…

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…

Quantum-Centric Alchemical Free Energy Calculations
Milana Bazayeva, Zhen Li, Danil Kaliakin, Fangchun Liang, Akhil Shajan, Susanta Das, Kenneth M. Merz Jr
https://arxiv.org/abs/2506.20825

Quantum-Centric Alchemical Free Energy Calculations
In the present work, we present a hybrid quantum-classical workflow aimed at improving the accuracy of alchemical free energy (AFE) predictions by incorporating configuration interaction (CI) simulations using the book-ending correction method. This approach applies the Multistate Bennett Acceptance Ratio (MBAR) over a coupling parameter λ to smoothly transition the system from molecular mechanics (MM) (λ = 0) to a quantum mechanics (QM) (λ = 1) description. The resulting correction is then …

Entanglement-inspired frequency-agile rangefinding
Weijie Nie, Peide Zhang, Alex McMillan, Alex S. Clark, John G. Rarity
https://arxiv.org/abs/2506.11980 h…

Entanglement-inspired frequency-agile rangefinding
Entanglement, a key feature of quantum mechanics, is recognized for its non-classical correlations which have been shown to provide significant noise resistance in single-photon rangefinding and communications. Drawing inspiration from the advantage given by energy-time entanglement, we developed an energy-time correlated source based on a classical laser that preserves the substantial noise reduction typical of quantum illumination while surpassing the quantum brightness limitation by over six…

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Efstratios Koukoutsis, George Vahala, Min Soe, Kyriakos Hizanidis, Linda Vahala, Abhay K. Ram
https://arxiv.org/abs/2506.21354

A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Simulating nonlinear classical dynamics on a quantum computer is an inherently challenging task due to the linear operator formulation of quantum mechanics. In this work, we provide a systematic approach to alleviate this difficulty by developing a quantum algorithm that implements the time evolution of a second order time-discretized version of the Lorenz model. The Lorenz model is a celebrated system of nonlinear ordinary differential equations that has been extensively studied in the context…

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…

This https://arxiv.org/abs/2502.12046 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
The interplay between chaos and thermalization in weakly non-integrable systems is a rich and complex subject. Interest in this area is further motivated by a desire to develop a unified picture of chaos for both quantum and classical systems. In this work, we study the adiabatic gauge potential (AGP), an object typically studied in quantum mechanics that describes deformations of a quantum state under adiabatic variation of the Hamiltonian, in classical Fermi-Pasta-Ulam-Tsingou (FPUT) and Toda…

A description of classical field equations using extensions of graded Poisson brackets
Manuel de Le\'on, Rub\'en Izquierdo-L\'opez
https://arxiv.org/abs/2507.04743

A description of classical field equations using extensions of graded Poisson brackets
As it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson brackets in graded Dirac manifolds. We then show how these extensions can be used to obtain the field equations of a particular theory as well as the evolution of forms of arbitrary order, in a similar way that ordinary Poisson brackets provide in mechanics.

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…

Uniqueness of phase retrieval from offset linear canonical transform
Jing Liu, Haiye Huo
https://arxiv.org/abs/2506.03944 https://arx…

Uniqueness of phase retrieval from offset linear canonical transform
The classical phase retrieval refers to the recovery of an unknown signal from its Fourier magnitudes, which is widely used in fields such as quantum mechanics, signal processing, optics, etc. The offset linear canonical transform (OLCT), which is a more general type of linear integral transform including Fourier transform (FT), fractional Fourier transform (FrFT), and linear canonical transform (LCT) as its special cases. Hence, in this paper, we focus on the uniqueness problem of phase retrie…

Lambert's problem in orbital dynamics: a self--contained introduction
Lenox Helene Baloglou, Parneet Gill, Tonatiuh S\'anchez-Vizuet
https://arxiv.org/abs/2506.10556

Lambert's problem in orbital dynamics: a self--contained introduction
Lambert's problem is a classical boundary value problem in analytical mechanics. It arises when trying to determine the energy required to place a particle, subject to a central gravitational potential, in a free fall trajectory connecting two given points on a desired travel time. Due to its mathematical beauty and its relevance in aerospace engineering, it has been and remains the object of attention of countless engineers, mathematicians (pure and applied), and physicists seeking to produce …

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]:
- Classical triangular lattice antiferromagnetic Ising model as a free-fermion/superconductor system
Amir Nourhani, Vincent H. Crespi, Paul E. Lammert

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Lectures on Statistical Mechanics
Allan N. Kaufman, Bruce I. Cohen, Alain J. Brizard

Prediction of the aqueous redox properties of functionalized quinones using a new QM/MM variational formulation
Maxime Labat, Guillaume Jeanmairet, Emmanuel Giner
https://arxiv.org/abs/2506.12448

Prediction of the aqueous redox properties of functionalized quinones using a new QM/MM variational formulation
We recently proposed a method coupling quantum mechanics (QM) methods and molecular density functional theory (MDFT) to describe mixed quantum-classical systems [J. Chem. Phys. 161, 014113 (2024)]. This approach is particularly appropriate to account for solvent effect into QM calculations. We introduce a new variational formulation for the grand potential of a mixed quantum-classical system. Within the Born-Oppenheimer approximation and neglecting electronic entropy, the quantum solute is desc…

Self-consciousness and personal identity in quantum panprotopsychism
Rodolfo Gambini, Jorge Pullin
https://arxiv.org/abs/2505.11530 https://

Self-consciousness and personal identity in quantum panprotopsychism
In previous papers, we demonstrated that an ontology of quantum mechanics, described in terms of states and events with internal phenomenal aspects (a form of panprotopsychism), is well suited to explain consciousness. We showed that the combination problems of qualities, structures and subjects in panpsychism and panprotopsychism stem from implicit hypotheses based on classical physics regarding supervenience, which are not applicable at the quantum level. Within this view, consciousness arise…

This https://arxiv.org/abs/2506.00408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective
We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited using semiclassical methods. Sommerfeld-type integrals are evaluated by elementary techniques, and connections with the Schrödinger and Dirac equations are established. Historical developments and key transitions from classical to quantum theory are discussed to clarify the structure and significance of the old quan…

A physics-informed neural network for modeling fracture without gradient damage: formulation, application, and assessment
Aditya Konale, Vikas Srivastava
https://arxiv.org/abs/2507.07272

A physics-informed neural network for modeling fracture without gradient damage: formulation, application, and assessment
Accurate computational modeling of damage and fracture remains a central challenge in solid mechanics. The finite element method (FEM) is widely used for numerical modeling of fracture problems; however, classical damage models without gradient regularization yield mesh-dependent and usually inaccurate predictions. The use of gradient damage with FEM improves numerical robustness but introduces significant mathematical and numerical implementation complexities. Physics-informed neural networks …

Breakdown of the thermodynamic limit in quantum spin and dimer models
Jeet Shah, Laura Shou, Jeremy Shuler, Victor Galitski
https://arxiv.org/abs/2506.15769

Breakdown of the thermodynamic limit in quantum spin and dimer models
The thermodynamic limit is foundational to statistical mechanics, underlying our understanding of many-body phases. It assumes that, as the system size grows infinitely at fixed density of particles, unambiguous macroscopic phases emerge that are independent of the system's boundary shape. We present explicit quantum spin and dimer Hamiltonians whose ground states violate this principle. Our construction relies on the previous mathematical work on classical dimers on the Aztec diamond and the s…

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…

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Experimental Realization of Special-Unitary Operations in Classical Mechanics by Nonadiabatic Evo...
Congwei Lu, Xulong Wang, Guancong Ma

The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
Emilio Santos
https://arxiv.org/abs/2506.10023

The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
I revisit the Wigner (or Weyl-Wigner, WW) representation of the quantum electromagnetic field. I show that, assuming that Fock states are just mathematical concepts devoid of physical reality, WW suggests a realistic interpretation which turns out to be (classical) Maxwell theory with the assumption that there is a random radiation filling space, the vacuum field. I elucidate why, in sharp constrast, non-relativistic quantum mechanics of particles does not admit a realistic interpretation via W…

Quantum Checkers: The Development and Analysis of a Quantum Combinatorial Game
Marien Raat, Luuk van den Nouweland, Matthias M\"uller-Brockhausen, Mike Preuss, Evert van Nieuwenburg
https://arxiv.org/abs/2506.05962

Quantum Checkers: The Development and Analysis of a Quantum Combinatorial Game
This paper develops and analyses a novel quantum combinatorial game: quantum checkers (codenamed Cheqqers). The concepts of superposition, entanglement, measurements and interference from quantum mechanics are integrated into the game of checkers by adding new types of legal moves. The addition of these new rules is done gradually by introducing several levels of `quantumness'. Quantum checkers provides a framework for interpolating between a known and solved classical game and a more complex q…