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Recent experimental advances have inspired the development of theoretical tools to describe the non-equilibrium dynamics of quantum systems. Among them an exact representation of quantum spin systems in terms of classical stochastic…

Quantum Physics · Physics 2023-04-19 Gennaro Tucci , Stefano De Nicola , Sascha Wald , Andrea Gambassi

We study the physics of quantum phase transitions from the perspective of non-equilibrium thermodynamics. For first order quantum phase transitions, we find that the average work done per quench in crossing the critical point is…

Quantum Physics · Physics 2014-06-05 E. Mascarenhas , H. Braganca , R. Dorner , M. Franca Santos , V. Vedral , K. Modi , J. Goold

Experiments violating Bell's inequality appear to indicate deterministic models do not correspond to a realistic theory of quantum mechanics. The theory of pilot waves seemingly overcomes this hurdle via nonlocality and statistical…

Quantum Physics · Physics 2024-05-03 Aminur Rahman

The thermodynamic properties of quantum heat engines are stochastic owing to the presence of thermal and quantum fluctuations. We here experimentally investigate the efficiency and nonequilibrium entropy production statistics of a spin-1/2…

Quantum Physics · Physics 2021-04-29 Tobias Denzler , Jonas F. G. Santos , Eric Lutz , Roberto Serra

The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Maria Florencia Ludovico , Liliana Arrachea , Michael Moskalets , David Sanchez

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already…

Quantum Physics · Physics 2007-05-23 E. C. G. Sudarshan

We construct the classical dynamical system which has a quantum-like behavior. We have shown that the energy-time uncertainty relation takes place for the system and it has purely classical nature. We investigate the behavior of the system…

Quantum Physics · Physics 2015-06-12 Sergey A. Rashkovskiy

Classical optomechanical systems feature self-sustained oscillations, where multiple periodic orbits at different amplitudes coexist. We study how this multistability is realized in the quantum regime, where new dynamical patterns appear…

Quantum Physics · Physics 2016-04-19 C. Schulz , A. Alvermann , L. Bakemeier , H. Fehske

We discuss the roles of the macroscopic limit and of different system-environment interactions in the quantum-classical transition for a chaotic system. We consider the kicked harmonic oscillator subject to reservoirs that correspond in the…

Quantum Physics · Physics 2007-05-23 A. R. R. Carvalho , R. L. de Matos Filho , L. Davidovich

Optomechanics and electromechanics have made it possible to prepare macroscopic mechanical oscillators in their quantum ground states, in quadrature squeezed states, and in entangled states of motion. In addition to coaxing ever larger and…

Quantum Physics · Physics 2021-03-31 Xizheng Ma , Jeremie J. Viennot , Shlomi Kotler , John D. Teufel , Konrad W. Lehnert

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

Statistical Mechanics · Physics 2011-11-08 Sanjib Sabhapandit

On the basis of extensive numerical studies it is argued that there are strong analogies between the probabilistic behavior of quantum systems defined by Hermitian Hamiltonians and the deterministic behavior of classical mechanical systems…

High Energy Physics - Theory · Physics 2010-05-28 Carl M. Bender , Dorje C. Brody , Daniel W. Hook

We study the effective stochastic dynamics of a semiclassical probe induced by linear optomechanical interactions with a quantum oscillator. Quantum fluctuations lead to state-dependent non-equilibrium noise, which is exponentially enhanced…

Quantum Physics · Physics 2026-01-08 Pedro V. Paraguassú , Luca Abrahão , Thiago Guerreiro

Many physical, chemical and biological systems can be modeled by means of random-frequency harmonic oscillator systems. Even though the noise-free evolution of harmonic oscillator systems can be easily implemented, the way to experimentally…

Classical Physics · Physics 2014-07-11 R. de J. León-Montiel , J. Svozilík , Juan P. Torres

We consider the quantum mechanical behavior of a driven particle in an infinite 1D potential well. We show that the time dependent perturbation series is induced by the delicate non-trivial properties of the momentum operator in this case,…

Condensed Matter · Physics 2008-02-03 Eli Eisenberg , Nadav Shnerb , Rachel Avigur

The dynamics of a Brownian particle in a constant magnetic field and time-dependent electric field is studied in the limit of white noise, using a Langevin approach for the classical problem and the path-integral Feynman-Vernon and…

Statistical Mechanics · Physics 2022-06-20 Marco Patriarca , Pasquale Sodano

In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled…

Quantum Physics · Physics 2014-02-18 J. S. Briggs , A. Eisfeld

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

Phenomenological models aiming to join gravity and quantum mechanics often predict effects that are potentially measurable in refined low-energy experiments. For instance, modified commutation relations between position and momentum, that…

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

Quantum Physics · Physics 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt