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We study the thermodynamics of quantum projective measurements by using the set up for the Jarzynski equality. We prove the fluctuations of energy change induced by measurements satisfy the Jarzynski equality, revealing that the quantum…

Statistical Mechanics · Physics 2015-08-31 Juyeon Yi , Yong Woon Kim

We study the non-equilibrium work in a pedagogical model of relativistic ideal gas. We obtain the exact work distribution and verify the Jarzynski's equality. In the non-relativistic limit, our results recover the non-relativistic results…

Statistical Mechanics · Physics 2025-11-21 Xianghang Zhang , Tingzhang Shi , H. T. Quan

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

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

Generalized measurements of an observable performed on a quantum system during a force protocol are investigated and conditions that guarantee the validity of the Jarzynski equality and the Crooks relation are formulated. In agreement with…

Statistical Mechanics · Physics 2014-03-14 Gentaro Watanabe , B. Prasanna Venkatesh , Peter Talkner , Michele Campisi , Peter Hänggi

A complete understanding of the statistics of the work done by quenching a parameter of a quantum many-body system is still lacking in the presence of an initial quantum coherence in the energy basis. In this case, the work can be…

Quantum Physics · Physics 2023-07-07 Gianluca Francica , Luca Dell'Anna

Steady-state quantum thermal machines are typically characterized by a continuous flow of heat between different reservoirs. However, at the level of discrete stochastic realizations, heat flow is unraveled as a series of abrupt quantum…

Quantum Physics · Physics 2025-06-05 Abhaya S. Hegde , Patrick P. Potts , Gabriel T. Landi

The separation of internal energy into heat and work in quantum thermodynamics is a controversial issue for a long time, and we revisit and solve this problem in this work. It is shown that the Hamiltonian plays dual roles for a quantum…

Quantum Physics · Physics 2025-01-03 Tao Zhou , Jiangyang Pu , Xiaohua Wu

We investigate the energy distribution and quantum thermodynamics in periodically driven polaritonic systems in the stationary state at room temperature. Specifically, we consider an exciton strongly coupled to a harmonic oscillator and…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Maicol A. Ochoa

We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed…

Quantum Physics · Physics 2015-01-20 F. Plastina , A. Alecce , T. J. G. Apollaro , G. Falcone , G. Francica , F. Galve , N. Lo Gullo , R. Zambrini

The interest in active matter stimulates the need to generalize thermodynamic description and relations to active matter systems, which are intrinsically out of equilibrium. One important example is the Jarzynski relation, which links the…

Statistical Mechanics · Physics 2023-05-31 Grzegorz Szamel

Determining the work which is supplied to a system by an external agent, provides a crucial step in any experimental realization of transient fluctuation relations. This, however, poses a problem for quantum systems, where the standard…

Statistical Mechanics · Physics 2014-05-15 Gentaro Watanabe , B. Prasanna Venkatesh , Peter Talkner

An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of…

Quantum Physics · Physics 2020-02-26 Bao-Ming Xu , Zhan-Chun Tu , Jian Zou

Considering an entropy-based division of energy transferred into heat and work, we develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. When comparing these results with those obtained under the…

Quantum Physics · Physics 2021-04-14 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo

In this tutorial, we present the definition, interpretation and properties of some of the main quasiprobabilities that can describe the statistics of measurement outcomes evaluated at two or more times. Such statistics incorporate the…

Quantum Physics · Physics 2024-09-23 Stefano Gherardini , Gabriele De Chiara

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

Statistical Mechanics · Physics 2015-05-13 Takahiro Sagawa , Masahito Ueda

We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superpositions of energy eigenstates. We use these quantities to extend the…

Quantum Physics · Physics 2016-03-22 Jose Joaquin Alonso , Eric Lutz , Alessandro Romito

A main goal of single-molecule experiments is to evaluate equilibrium free energy differences by applying fluctuation relations to repeated work measurements along irreversible processes. We quantify the error that is made in a free energy…

Statistical Mechanics · Physics 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort

Understanding and manipulating work fluctuations in microscale and nanoscale systems are of both fundamental and practical interest. For example, aspects of work fluctuations will be an important factor in designing nanoscale heat engines.…

Statistical Mechanics · Physics 2014-11-26 Gaoyang Xiao , Jiangbin Gong

Many electronic systems exhibit striking features in their dynamical response over a prominent range of experimental parameters. While there are empirical suggestions of particular increasing length scales that accompany such transitions,…

Statistical Mechanics · Physics 2015-04-02 Zohar Nussinov , Patrick Johnson , Matthias J. Graf , Alexander V. Balatsky
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