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Underlying the classical thermodynamic principles are analogous microscopic laws, arising from the fundamental axioms of quantum mechanics. These define quantum thermodynamic variables such as quantum work and heat and characterize the…

Quantum Physics · Physics 2023-05-03 Roie Dann , Ronnie Kosloff

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

According to the second law of thermodynamics, for every transformation performed on a system which is in contact with an environment of fixed temperature, the extracted work is bounded by the decrease of the free energy of the system.…

Quantum Physics · Physics 2016-07-15 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

We study the quantum Jarzynski relation for driven quantum models embedded in various environments. We do so by generalizing a proof presented by Mukamel [Phys. Rev. Lett 90, 170604 (2003)] for closed quantum systems. In this way, we are…

Statistical Mechanics · Physics 2007-12-04 Jens Teifel , Günter Mahler

The Jarzynski equality (JE), which connects the equilibrium free energy with non-equilibrium work statistics, plays a crucial role in quantum thermodynamics. Although practical quantum systems are usually multi-level systems, most tests of…

Quantum Physics · Physics 2023-10-26 Wenquan Liu , Zhibo Niu , Wei Cheng , Xin Li , Chang-Kui Duan , Zhangqi Yin , Xing Rong , Jiangfeng Du

We show a practical application of an well-known nonequilibrium relation, the Jarzynski equality, in quantum computation. Its implementation may open a way to solve combinatorial optimization problems, minimization of a real single-valued…

Quantum Physics · Physics 2010-07-06 Masayuki Ohzeki , Hidetoshi Nishimori

We extend the Jarzynski equality, which is an exact identity between the equilibrium and nonequilibrium averages, to be useful to compute the value of the entropy difference by changing the Hamiltonian. To derive our result, we introduce…

Statistical Mechanics · Physics 2011-03-24 Hitoshi Katsuda , Masayuki Ohzeki

We consider the task of extracting work from quantum systems in the resource theory perspective of thermodynamics, where free states are arbitrary thermal states, and allowed operations are energy conserving unitary transformations. Taking…

Quantum Physics · Physics 2013-02-13 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

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

The theory of phenomenological Non-equilibrium Thermodynamics is extended by includimg stochastic processes in order to account for recently derived thermodynamical relations such as the Jarzynski equality. Four phenomenological axioms are…

Chaotic Dynamics · Physics 2016-07-20 Wolfgang Muschik

In this Letter we investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory. Very often, quantum work and fluctuation theorems are discussed in the framework of projective two-point…

Quantum Physics · Physics 2022-08-11 Konstantin Beyer , Roope Uola , Kimmo Luoma , Walter T. Strunz

Almost 25 years ago, Jarzynski published a paper in which it was asserted: the work done, W, in driving a system from state A to state B, characterized by the Helmholtz free energies FA and FB, satisfies an equality in which an average over…

General Physics · Physics 2022-06-07 Ronald F. Fox

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

A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski…

Statistical Mechanics · Physics 2009-11-13 David Andrieux , Pierre Gaspard

Free energy fixes the maximum work of a thermodynamic process once the state and Hamiltonian are specified. A work-extraction task asks a different question: how much average work can a single device realize across several preparations and…

Quantum Physics · Physics 2026-05-06 Sumit Rout , Aravinth Balaji Ravichandran , Paweł Horodecki , Anubhav Chaturvedi

We treat a quantum mechanical system with certain general properties which are expected to be common in macroscopic quantum systems. Starting from a PURE initial state (which may not describe an equilibrium) in which energy is mildly…

Statistical Mechanics · Physics 2007-05-23 Hal Tasaki

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

We study the physics of quantum phase transitions from the perspective of non-equilibrium thermodynamics. For first order quantum phase transitions, we find that the average work done per quench in crossing the critical point is…

Quantum Physics · Physics 2014-06-05 E. Mascarenhas , H. Braganca , R. Dorner , M. Franca Santos , V. Vedral , K. Modi , J. Goold

In this paper, unambiguous redefinitions of heat and work are presented for quantum thermodynamic systems. We will use genuine reasoning based on which Clausius originally defined work and heat in establishing thermodynamics. The change in…

Quantum Physics · Physics 2023-03-15 B. Ahmadi , S. Salimi , A. S. Khorashad

In this paper, we study Jarzynski's equality and fluctuation theorems for diffusion processes. While some of the results considered in the current work are known in the (mainly physics) literature, we review and generalize these…

Mathematical Physics · Physics 2019-04-09 Carsten Hartmann , Christof Schuette , Wei Zhang
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