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We study work fluctuation theorems for oscillators in non-Markovian heat baths. By calculating the work distribution function for a harmonic oscillator with motion described by the generalized Langevin equation, the Jarzynski equality (JE),…

统计力学 · 物理学 2009-11-11 Trieu Mai , Abhishek Dhar

We show that the quantum Jarzynski equality generalizes to $\mathcal{PT}$-symmetric quantum mechanics with unbroken $\mathcal{PT}$-symmetry. In the regime of broken $\mathcal{PT}$-symmetry the Jarzynski equality does not hold as also the…

统计力学 · 物理学 2015-04-22 Sebastian Deffner , Avadh Saxena

We derive a general information-theoretic equality for a system undergoing two projective measurements separated by a general temporal evolution. The equality implies the non-negativity of the mutual information between the measurement…

量子物理 · 物理学 2015-06-04 Vlatko Vedral

We propose a new thermodynamic equality and several inequalities concerning the relationship between work and information for an isothermal process with Maxwell's demon. Our approach is based on the formulation a la Jarzynski of the…

统计力学 · 物理学 2007-05-23 Takahiro Sagawa , Masahito Ueda

The distribution of work done on a quantum system by instantaneously changing the Hamiltonian is shown to satisfy the Jarzynski identity.

统计力学 · 物理学 2007-05-23 Shaul Mukamel

We obtain macroscopic adiabatic thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics subject to random collisions with the environment. The microscopic dynamics is given by a chain of oscillators…

统计力学 · 物理学 2014-12-12 Stefano Olla , Marielle Simon

The Jarzynski equality is one of the most influential results in the field of non equilibrium statistical mechanics. This celebrated equality allows to calculate equilibrium free energy differences from work distributions of nonequilibrium…

统计力学 · 物理学 2017-09-13 Shahaf Asban , Saar Rahav

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

统计力学 · 物理学 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end…

统计力学 · 物理学 2014-01-21 Peter Talkner , Manuel Morillo , Juyeon Yi , Peter Hanggi

Adiabatic processes are important for studying the dynamics of a time-dependent system. Conventionally, the adiabatic processes can only be achieved by varying the system slowly. We speed up both classical and quantum adiabatic processes by…

量子物理 · 物理学 2013-05-21 Jia-wen Deng , Qing-hai Wang , Jiangbin Gong

The Jarzynski equality (JE) is a remarkable statement relating transient irreversible processes to infinite-time free energy differences. Although twenty years old, the JE remains unfamiliar to many; nevertheless it is a robust and powerful…

统计力学 · 物理学 2018-01-17 Fred Gittes

The computation of free energy differences through an exponential weighting of out of equilibrium paths (known as the Jarzynski equality) is often used for transitions between states described by an external parameter $\lambda$ in the…

统计力学 · 物理学 2015-06-25 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

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.…

量子物理 · 物理学 2016-07-15 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

We consider a macroscopic system in contact with boundary reservoirs and/or under the action of an external field. We discuss the case in which the external forcing depends explicitly on time and drives the system from a nonequilibrium…

统计力学 · 物理学 2015-06-05 L. Bertini , D. Gabrielli , G. Jona-Lasinio , C. Landim

Non-equilibrium quantum thermodynamics is essential to describe new devices that operate far from the regime where the usual thermodynamical laws are obeyed. When quantum fluctuations dominate, defining and measuring work and heat, two…

Many studies of quantum-size heat engines assume that the dynamics of an internal system is unitary and that the extracted work is equal to the energy loss of the internal system. Both assumptions, however, should be under scrutiny. In the…

统计力学 · 物理学 2017-04-05 Yohei Morikuni , Hiroyasu Tajima , Naomichi Hatano

Five previously unknown inequalities relating equilibrium free energy differences and non-equilibrium work fluctuations are derived, and lucid path to derivation of many similar inequalities is presented. These results are based upon…

统计力学 · 物理学 2011-05-24 Alexander Davydov

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…

量子物理 · 物理学 2019-11-05 Tiago Debarba , Gonzalo Manzano , Yelena Guryanova , Marcus Huber , Nicolai Friis

We derive analogues of the Jarzynski equality and Crooks relation to characterise the nonequilibrium work associated with changes in the spring constant of an overdamped oscillator in a quadratically varying spatial temperature profile. The…

统计力学 · 物理学 2015-09-30 Ian J. Ford , Robert W. Eyre

We obtain the exact nonequilibrium work generating function (NEWGF), for a small system consisting of a massive Brownian particle connected to internal and external springs. The external work is provided to the system for a finite time…

统计力学 · 物理学 2011-07-01 W. A. M. Morgado , D. O. Soares-Pinto