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We study the work cost of processes in quantum fields without the need of projective measurements, which are always ill defined in quantum field theory. Inspired by interferometry schemes, we propose a work distribution that generalizes the…

Quantum Physics · Physics 2019-10-10 Alvaro Ortega , Emma McKay , Álvaro M. Alhambra , Eduardo Martin-Martinez

We have experimentally checked the Jarzynski equality and the Crooks relation on the thermal fluctuations of a macroscopic mechanical oscillator in contact with a heat reservoir. We found that, independently of the time scale and amplitude…

Statistical Mechanics · Physics 2009-11-11 F. Douarche , S. Ciliberto , A. Petrosyan , I. Rabbiosi

With the development of quantum thermodynamics it has been shown that relaxation to thermal equilibrium and with it the concept of heat flux may emerge directly from quantum mechanics. This happens for a large class of quantum systems if…

Quantum Physics · Physics 2010-05-11 Heiko Schröder , Günter Mahler

We give a perturbative analysis of Crooks relation and Jarzynski equality in an arbitrary driven quantum system weakly coupled to a heat bath. Invoking no efficient Hamiltonian nor any restriction on the form of the coupling, we derive the…

Statistical Mechanics · Physics 2017-09-15 Yi Peng , Heng Fan

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

The nonequilibrium fluctuation relation is a cornerstone of quantum thermodynamics. It is widely believed that the system-bath heat exchange obeys the famous Jarzynski-W\'{o}jcik fluctuation theorem. However, this theorem is established in…

Quantum Physics · Physics 2024-08-01 Wei Wu , Jun-Hong An

We employ the operational quasiprobability (OQ) as a work distribution, which reproduces the Jarzynski equality and yields the average work consistent with the classical definition. The OQ distribution can be experimentally implemented…

Quantum Physics · Physics 2025-10-07 Jeongwoo Jae , Junghee Ryu , Hoon Ryu

The formulation of the First and Second Principles of thermodynamics for a particle in contact with a heat bath and submitted to an external force is analyzed, by means of the Boltzmann-Lorentz kinetic equation. The possible definitions of…

Statistical Mechanics · Physics 2018-02-14 J. Javier Brey , M. J. Ruiz-Montero , Alvaro Dominguez

We apply the general procedure presented by Jarzynski in [1] to the problem of dissipation in a voltage-driven single-electron box. We obtain the expression of dissipated work, and find its relation to the dissipation Q obtained in [2]. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 J. P. Pekola , O. -P. Saira

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

Quantum Physics · Physics 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

How should one define thermodynamic quantities (internal energy, work, heat, etc.) for quantum systems coupled to their environments strongly? We examine three (classically equivalent) definitions of a quantum system's internal energy under…

In quantum physics, the density operator completely describes the state. Instead, in classical physics the mean value of every physical quantity is evaluated by means of a probability distribution. We study the possibility to describe pure…

Quantum Physics · Physics 2011-11-09 Alberto Montina

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

Statistical Mechanics · Physics 2007-05-23 Wolfgang Lechner , Christoph Dellago

Understanding and manipulating work fluctuations in microscale and nanoscale systems are of both fundamental and practical interest. For example, in considering the Jarzynski equality $\langle e^{-\beta W} \rangle=e^{-\beta \Delta F}$, a…

Statistical Mechanics · Physics 2015-08-26 Gaoyang Xiao , Jiangbin Gong

We consider a mean-field system described by a general collective variable $M$, driven out of equilibrium by the manipulation of a parameter $\mu$. Given a general dynamics compatible with its equilibrium distribution, we derive the…

Statistical Mechanics · Physics 2007-05-23 A. Imparato , L. Peliti

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

We consider in this paper, a few important issues in non-equilibrium work fluctuations and their relations to equilibrium free energies. First we show that Jarzynski identity can be viewed as a cumulant expansion of work. For a switching…

Statistical Mechanics · Physics 2015-05-20 M Suman Kalyan , G Anjan Prasad , V S S Sastry , K P N Murthy

In a recent work, Jarzynski and Wojcik (2004 Phys. Rev. Lett. 92, 230602) have shown by using the properties of Hamiltonian dynamics and a statistical mechanical consideration that, through contact, heat exchange between two systems…

Statistical Mechanics · Physics 2008-05-29 Yuki Sughiyama , Sumiyoshi Abe

Equilibrium thermodynamics is combined with Jarzynski's irreversible work theorem to quantify the excess entropy produced by irreversible processes. The resulting rectified form of the second law parallels the first law, in the sense that…

Statistical Mechanics · Physics 2007-05-23 Dor Ben-Amotz , J. M. Honig

We extend the quantum jump method to nearly adiabatically driven open quantum systems in a way that allows for an accurate account of the external driving in the system-environment interaction. Using this framework, we construct the…

Quantum Physics · Physics 2015-03-30 S. Suomela , J. Salmilehto , I. G. Savenko , T. Ala-Nissila , M. Möttönen