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We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without knowledge of the system Hamiltonian…

Quantum Physics · Physics 2020-10-07 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in…

Quantum Physics · Physics 2019-11-05 Tiago Debarba , Gonzalo Manzano , Yelena Guryanova , Marcus Huber , Nicolai Friis

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

Inspired by the idea that quantum computers can be useful in advancing basic science, we use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics, that were not (or were…

Quantum Physics · Physics 2021-10-01 Andrea Solfanelli , Alessandro Santini , Michele Campisi

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

The characteristic function for the joint measurement of the changes of two commuting observables upon an external forcing of a quantum system is derived. In particular, the statistics of the internal energy, the exchanged heat and the work…

Statistical Mechanics · Physics 2009-02-18 Peter Talkner , Michele Campisi , Peter Hänggi

The nonequilibrium work relation, or Jarzynski equality, establishes a statistical relationship between a series of nonequilibrium experiments on a system subjected to thermal fluctuations and a hypothetical experiment at thermodynamic…

Statistical Mechanics · Physics 2024-11-19 Jean-Luc Garden

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. These lecture notes provide an…

Quantum Physics · Physics 2026-04-17 Patrick P. Potts

We illustrate recent results concerning the validity of the work fluctuation theorem in open quantum systems [M. Campisi, P. Talkner, and P. H\"{a}nggi, Phys. Rev. Lett. {\bf 102}, 210401 (2009)], by applying them to a solvable model of an…

Statistical Mechanics · Physics 2009-09-14 Michele Campisi , Peter Talkner , Peter Hänggi

Quantum work fluctuation theorem (FT) commonly requires the system initially prepared in an equilibrium state. Whether there exists universal exact quantum work FT for initial state beyond equilibrium needs further discussions. Here, I…

Statistical Mechanics · Physics 2024-01-12 Bao-Ming Xu

In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum…

Quantum Physics · Physics 2020-08-10 Akira Sone , Yi-Xiang Liu , Paola Cappellaro

We study the quantum fluctuation theorem in the one-time measurement (OTM) scheme, where the work distribution of the backward process has been lacking and which is considered to be more informative than the two-time measurement (TTM)…

Quantum Physics · Physics 2023-11-20 Kenji Maeda , Tharon Holdsworth , Sebastian Deffner , Akira Sone

A central topic in the emerging field of quantum thermodynamics is the definition of thermodynamic work in the quantum regime. One widely used solution is to define work for a closed system undergoing non-equilibrium dynamics according to…

Quantum Physics · Physics 2017-06-16 Harry J. D. Miller , Janet Anders

We present a new method to measure the work $w$ performed on a driven quantum system and to sample its probability distribution $P(w)$. The method is based on a simple fact that remained unnoticed until now: Work on a quantum system can be…

Quantum Physics · Physics 2015-06-22 Augusto J. Roncaglia , Federico Cerisola , Juan Pablo Paz

We investigate the connection between recent results in quantum thermodynamics and fluctuation relations by adopting a fully quantum mechanical description of thermodynamics. By including a work system whose energy is allowed to fluctuate,…

Quantum Physics · Physics 2017-03-27 Álvaro M. Alhambra , Lluis Masanes , Jonathan Oppenheim , Christopher Perry

Temperature estimation, known as thermometry, is a critical sensing task for physical systems operating in the quantum regime. Indeed, thermal fluctuations can significantly degrade quantum coherence. Therefore, accurately determining the…

In the context of nonequilibrium quantum thermodynamics, variables like work behave stochastically. A particular definition of the work probability density function (pdf) for coherent quantum processes allows the verification of the quantum…

We propose an experimental scheme to verify the quantum non-equilibrium fluctuation relations using current technology. Specifically, we show that the characteristic function of the work distribution for a non-equilibrium quench of a…

Quantum Physics · Physics 2013-06-18 R. Dorner , S. R. Clark , L. Heaney , R. Fazio , J. Goold , V. Vedral

Quantum work fluctuation theorems are known to hold when the work is defined as the difference between the outcomes of projective measurements carried out on the Hamiltonian of the system at the initial and the final time instants of the…

Statistical Mechanics · Physics 2023-07-20 Sourabh Lahiri , Subhashish Banerjee , A. M. Jayannavar

Estimating the temperature of a cold quantum system is difficult. Usually, one measures a well-understood thermal state and uses that prior knowledge to infer its temperature. In contrast, we introduce a method of thermometry that assumes…

Quantum Physics · Physics 2016-06-07 T. H. Johnson , F. Cosco , M. T. Mitchison , D. Jaksch , S. R. Clark