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The fluctuation-dissipation relation for the classical definition of work is extended to thermally isolated systems, in classical and quantum realms. From this, the optimal work variance is calculated, showing it achieves its minimum…

Statistical Mechanics · Physics 2023-11-01 Pierre Nazé

We consider the nonequilibrium work distribution of a quantum oscillator with modulated angular frequency. We examine the discrete-to-continuous transition of the distribution as the temperature and the degree of nonadiabaticity of the…

Statistical Mechanics · Physics 2011-04-28 Sebastian Deffner , Obinna Abah , Eric Lutz

The modelling of quantum heat transfer processes at the nanoscale is crucial for the development of energy harvesting and molecular electronics devices. Herein, we adopt a mixed quantum-classical description of a device, in which the open…

Chemical Physics · Physics 2018-12-12 Junjie Liu , Chang-Yu Hsieh , Dvira Segal , Gabriel Hanna

We consider the dynamics of an isolated quantum many-body system after a sudden change of one control parameter, focusing on the statistics of the work done. We establish a connection between the generating function of the distribution of…

Statistical Mechanics · Physics 2011-06-15 Andrea Gambassi , Alessandro Silva

We study the joint probability distribution function of the work and the change of photon number of the nonequilibrium process of driving the electromagnetic (EM) field in a three-dimensional cavity with an oscillating boundary. The system…

Quantum Physics · Physics 2019-05-22 Zhaoyu Fei , Jing-Ning Zhang , Rui Pan , Tian Qiu , H. T. Quan

Fluctuation relations allow for the computation of equilibrium properties, like free energy, from an ensemble of non-equilibrium dynamics simulations. Computing them for quantum systems, however, can be difficult, as performing dynamic…

Quantum Physics · Physics 2021-09-07 Lindsay Bassman , Katherine Klymko , Diyi Liu , Norman M. Tubman , Wibe A. de Jong

As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects. While the statistical mechanics of small classical systems is…

Quantum Physics · Physics 2014-12-11 S. Gasparinetti , P. Solinas , A. Braggio , M. Sassetti

The past two decades witnessed important developments in the field of non-equilibrium statistical mechanics. Among these developments, the Jarzynski equality, being a milestone following the landmark work of Clausius and Kelvin, stands out.…

Quantum Physics · Physics 2015-06-22 Shuoming An , Jing-Ning Zhang , Mark Um , Dingshun Lv , Yao Lu , Junhua Zhang , Zhang-qi Yin , H. T. Quan , Kihwan Kim

A new scenario for energy distribution, security and shareability is presented that assumes the availability of quantum information heat engines and a thermal bath. It is based on the convertibility between entropy and work in the presence…

Quantum Physics · Physics 2016-08-02 J. M. Diaz de la Cruz , M. A. Martin-Delgado

Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the…

Quantum Physics · Physics 2019-03-07 Aurélia Chenu , Javier Molina-Vilaplana , Adolfo del Campo

A key concept in quantum thermodynamics is extractable work, which specifies the maximum amount of work that can be extracted from a quantum system. Different quantities are used to measure extractable work, the most prevalent of which are…

Quantum Physics · Physics 2024-01-17 Amin Mohammadi , Afshin Shafiee

We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator (TEMPO) algorithm. This approach is applied to…

Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory…

Quantum Physics · Physics 2020-03-04 Philipp Strasberg

We consider a collision between a moving particle and a fixed system, each having internal degrees of freedom. We identify the regime where the motion of the particle acts as a work source for the joint internal system, leading to energy…

Quantum Physics · Physics 2022-06-29 Samuel L. Jacob , Massimiliano Esposito , Juan M. R. Parrondo , Felipe Barra

The transient quantum fluctuation theorems of Crooks and Jarzynski restrict and relate the statistics of work performed in forward and backward forcing protocols. So far these theorems have been obtained under the assumption that the work…

Statistical Mechanics · Physics 2014-02-07 B. Prasanna Venkatesh , Gentaro Watanabe , Peter Talkner

Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state. Here we prove that, under a very general assumption on the Hamiltonian, the distribution of the mean…

Quantum Physics · Physics 2021-08-04 Raffaele Salvia , Vittorio Giovannetti

I present a technical report indicating that the two methods used for calculating characteristic functions for the work distribution in weakly driven quantum master equations are equivalent. One involves applying the notion of quantum jump…

Statistical Mechanics · Physics 2016-01-27 Fei Liu

We briefly introduce the quantum Jarzynski and Bochkov-Kuzovlev equalities in isolated quantum Hamiltonian systems, which includes the origin of the equalities, their derivations using a quantum Feynman-Kac formula, the quantum Crooks…

Statistical Mechanics · Physics 2015-06-19 Fei Liu , Zhong-can Ou-Yang

The Jarzynski equality relates the free energy difference between two equilibrium states to the fluctuating irreversible work afforded to switch between them. The prescribed fixed temperature for the equilibrium states implicitly constrains…

Statistical Mechanics · Physics 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

A superconducting cavity model was proposed as a way to experimentally investigate the work performed in a quantum system. We found a simple mathematical relationship between the free energy variation and visibility measurement in quantum…