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We numerically study the work distributions in a chaotic system and examine the relationship between quantum work and classical work. Our numerical results suggest that there exists a correspondence principle between quantum and classical…

Statistical Mechanics · Physics 2016-07-06 Long Zhu , Zongping Gong , Biao Wu , H. T. Quan

For closed quantum systems driven away from equilibrium, work is often defined in terms of projective measurements of initial and final energies. This definition leads to statistical distributions of work that satisfy nonequilibrium work…

Statistical Mechanics · Physics 2015-09-23 Christopher Jarzynski , H. T. Quan , Saar Rahav

Work in closed quantum systems is usually defined by a two-point measurement. This definition of work is compatible with quantum fluctuation theorems but it fundamentally differs from its classical counterpart. In this paper, we study the…

Quantum Physics · Physics 2018-02-16 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

The work distribution function for a non-relativistic, non-interacting quantum many-body system interacting with classical external sources is investigated. Exact expressions for the characteristic function corresponding to the work…

Quantum Physics · Physics 2020-04-22 Fardin Kheirandish

The correspondence principle bridges the quantum and classical worlds by establishing a direct link between their dynamics. This well-accepted tenant of quantum physics has been explored in quantum systems wherein the number of particles is…

Quantum mechanics and classical mechanics are two very different theories, but the correspondence principle states that quantum particles behave classically in the limit of high quantum number. In recent years much research has been done on…

High Energy Physics - Theory · Physics 2010-04-15 Carl M. Bender , Daniel W. Hook , Peter N. Meisinger , Qing-hai Wang

In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between phase-space structures, reflecting the distinction between chaotic, mixed or integrable classical dynamics, and the corresponding…

Quantum Physics · Physics 2026-04-15 Juan-Diego Urbina , Klaus Richter

The classical limit of quantum mechanics is investigated, by focusing on the study of the center of mass of a many-body system where each particle is described by quantum mechanics. We study how, in the limit when the number of particles…

Quantum Physics · Physics 2025-08-05 Marco Bilardello

The standard definition of quantum fluctuating work is based on the two-projective energy measurement, which however does not apply to systems with initial quantum coherence because the first projective energy measurement destroys the…

Quantum Physics · Physics 2019-04-12 Rui Pan , Zhaoyu Fei , Tian Qiu , Jing-Ning Zhang , H. T. Quan

The work is a concept of fundamental importance in thermodynamics. An open question is how to describe the work fluctuation for quantum coherent processes in the presence of initial quantum coherence in the energy basis. With the aim of…

Quantum Physics · Physics 2022-01-05 Gianluca Francica

It has been recently claimed that no protocol for measuring quantum work can satisfy standard required physical principles, casting doubts on the compatibility between quantum mechanics, thermodynamics, and the classical limit. In this…

Quantum Physics · Physics 2024-05-17 Thales Augusto Barbosa Pinto Silva , David Gelbwaser-Klimovsky

An exact correspondence is established between a $N$-body classical interacting system and a $N-1$-body quantum system with respect to the partition function. The resulting quantum-potential is a $N-1$-body one. Inversely the Kelbg…

Plasma Physics · Physics 2016-09-08 Klaus Morawetz

Quantum-classical correspondence in conservative chaotic Hamiltonian systems is examined using a uniform structure measure for quantal and classical phase space distribution functions. The similarities and differences between quantum and…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Paul Brumer

Regarded as one of the most fundamental concepts of classical mechanics and thermodynamics, work has received well-grounded definitions within the quantum framework since the 1970s, having being successfully applied to many contexts. Recent…

Quantum Physics · Physics 2021-10-22 Thales A. B. Pinto Silva , Renato M. Angelo

In this contribution, we aim to illustrate how quantum work statistics can be used as a tool in order to gain insight on the universal features of non-equilibrium many-body systems. Focusing on the two point measurement approach to work, we…

Quantum Physics · Physics 2019-05-01 John Goold , Francesco Plastina , Andrea Gambassi , Alessandro Silva

Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to condensed matter to quantum information and to cosmology. In…

Quantum Physics · Physics 2022-11-23 Klaus Richter , Juan Diego Urbina , Steven Tomsovic

Thermodynamics of quantum systems out-of-equilibrium is very important for the progress of quantum technologies, however, the effects of many body interactions and their interplay with temperature, different drives and dynamical regimes is…

Quantum Physics · Physics 2020-01-08 A. H. Skelt , K. Zawadzki , I. D'Amico

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle…

Statistical Mechanics · Physics 2014-12-16 Zongping Gong , Sebastian Deffner , H. T. Quan

As quantum systems become more experimentally accessible, we are forced to reconsider the notions of control and work to fully account for quantum effects. To this end, we identify the work injected into a quantum system during a general…

Quantum Physics · Physics 2014-05-21 J. Salmilehto , P. Solinas , M. Möttönen

We consider a generic quantum many-body system initiated at thermal equilibrium and driven by an external parameter, and discuss the prospect for measuring the work done by the varying parameter on the system. While existing methods are…

Mesoscale and Nanoscale Physics · Physics 2025-08-29 Cheolhee Han , Nadav Katz , Eran Sela
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