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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

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

Quantum Physics · Physics 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

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

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

Statistical Mechanics · Physics 2015-06-19 A. E. Allahverdyan

Despite the increasing interest, the research field which studies the concepts of work and heat at quantum level has suffered from two main drawbacks: first, the difficulty to properly define and measure the work, heat and internal energy…

Quantum Physics · Physics 2021-07-07 Paolo Solinas , Mirko Amico , Nino Zanghì

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

Quantum Physics · Physics 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

One of the most important goals in quantum thermodynamics is to demonstrate advantages of thermodynamic protocols over their classical counterparts. For that, it is necessary to (i) develop theoretical tools and experimental set-ups to deal…

Quantum Physics · Physics 2019-05-01 Elisa Bäumer , Matteo Lostaglio , Martí Perarnau-Llobet , Rui Sampaio

We study the full distribution of quantum work in generic, noninteracting, disordered fermionic nanosystems at finite temperature. We derive an analytical determinant formula for the characteristic function of work statistics for quantum…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd

There is evidence that taking the time average of the work performed by a thermally isolated system effectively "transforms" the adiabatic process into an isothermal one. This approach allows inherent quantities of adiabatic processes to be…

Statistical Mechanics · Physics 2025-10-03 Pierre Nazé

Thermodynamics describes large-scale, slowly evolving systems. Two modern approaches generalize thermodynamics: fluctuation theorems, which concern finite-time nonequilibrium processes, and one-shot statistical mechanics, which concerns…

Statistical Mechanics · Physics 2018-05-30 Nicole Yunger Halpern , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

In the standard framework of thermodynamics the work produced or consumed in a process is a random variable whose average value is bounded by the change in the free energy of the system. This work is calculated without regard for the size…

Quantum Physics · Physics 2017-04-19 Jonathan G. Richens , Lluis Masanes

The thermodynamic behavior of out-of-equilibrium quantum systems in finite-time dynamics encompasses the description of energy fluctuations, which dictates a series of system's physical properties. In addition, strong interactions in…

Quantum Physics · Physics 2020-08-05 Krissia Zawadzki , Roberto M. Serra , Irene D'Amico

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

An important result in classical stochastic thermodynamics is the work fluctuation--dissipation relation (FDR), which states that the dissipated work done along a slow process is proportional to the resulting work fluctuations. Here we show…

Quantum Physics · Physics 2019-12-11 Harry J. D. Miller , Matteo Scandi , Janet Anders , Martí Perarnau-Llobet

In this paper we give a pedagogical introduction to the ideas of quantum thermodynamics and work fluctuations, using only basic concepts from quantum and statistical mechanics. After reviewing the concept of work, as usually taught in…

Quantum Physics · Physics 2018-05-03 Wellington L. Ribeiro , Gabriel T. Landi , Fernando Semião

Out-of-equilibrium statistical mechanics is attracting considerable interest due to the recent advances in the control and manipulations of systems at the quantum level. Recently, an interferometric scheme for the detection of the…

Quantum Physics · Physics 2014-01-06 Laura Mazzola , Gabriele De Chiara , Mauro Paternostro

Given the evolution of an arbitrary open quantum system, we formulate a general and unambiguous method to separate the internal energy change of the system into an entropy-related contribution and a part causing no entropy change,…

Quantum Physics · Physics 2022-10-26 S. Alipour , A. T. Rezakhani , A. Chenu , A. del Campo , T. Ala-Nissila

For a two-level quantum mechanical system, we derive microscopically the exact expression for the fluctuation of microscopic work in a multi-step non-equilibrium process, and we rigorously prove that in an isothermal process, the…

Statistical Mechanics · Physics 2008-08-19 H. T. Quan , S. Yang , C. P. Sun

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

Standard treatments of quantum work using projective energy measurements erase initial coherence and alter the dynamics, thereby failing to capture the thermodynamic effects of coherent superpositions of energy eigenstates in an ensemble of…

Quantum Physics · Physics 2026-02-03 Pranay Nayak , Sreenath K. Manikandan , Tan Van Vu , Supriya Krishnamurthy
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