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The central quantity in the celebrated quantum Jarzynski equality is $e^{-\beta W}$, where $W$ is work and $\beta$ is the inverse temperature. The impact of quantum randomness on the fluctuations of $e^{-\beta W}$ and hence on the…

量子物理 · 物理学 2023-10-24 Wei Cheng , Wenquan Liu , Yang Wu , Zhibo Niu , Chang-Kui Duan , Jiangbin Gong , Xing Rong , Jiangfeng Du

The Jarzynski equality equates the mean of the exponential of the negative of the work (per fixed temperature) done by a changing Hamiltonian on a system, initially in thermal equilibrium at that temperature, to the ratio of the final to…

高能物理 - 理论 · 物理学 2012-07-17 Don N. Page

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

量子物理 · 物理学 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

Quantum criticality has attracted considerable attention both theoretically and experimentally as a way to describe part of the phase diagram of strongly correlated systems. A scale-invariant fluctuation spectrum at a quantum critical point…

强关联电子 · 物理学 2015-10-28 Stefan Kirchner , Qimiao Si

We discuss the role of quantum coherence in the energy fluctuations of open quantum systems. To this aim, we introduce a protocol, to which we refer to as the end-point-measurement scheme, allowing to define the statistics of energy changes…

量子物理 · 物理学 2022-04-13 S. Gherardini , A. Belenchia , M. Paternostro , A. Trombettoni

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The obtained equalities involve the information content, which…

统计力学 · 物理学 2014-01-30 Ken Funo , Yu Watanabe , Masahito Ueda

Jarzynski's equality [1] allows us to investigate free energy landscapes (FELs) by constructing distributions of work performed on a system from an initial ensemble of states to final states. This work is experimentally measured by…

生物物理 · 物理学 2011-05-24 Van Ngo

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…

量子物理 · 物理学 2021-10-01 Andrea Solfanelli , Alessandro Santini , Michele Campisi

We derive the fluctuation theorem for quantum-state statistics that can be obtained when we initially measure the total energy of a quantum system at thermal equilibrium, let the system evolve unitarily, and record the quantum-state data…

统计力学 · 物理学 2018-08-01 Naoto Tsuji , Masahito Ueda

The principle of microscopic reversibility lies at the core of fluctuation theorems, which have extended our understanding of the second law of thermodynamics to the statistical level. In the quantum regime, however, this elementary…

We consider a quantum system of fixed size consisting of a regular chain of $n$-level subsystems, where $n$ is finite. Forming groups of $N$ subsystems each, we show that the strength of interaction between the groups scales with $N^{-…

量子物理 · 物理学 2009-11-10 M. Hartmann , J. Gemmer , G. Mahler , O. Hess

To control and utilize quantum features in small scale for practical applications such as quantum transport, it is crucial to gain deep understanding of quantum characteristics of states such as coherence. Here by introducing a technique…

量子物理 · 物理学 2018-01-03 Laleh Memarzadeh , Azam Mani

The Jarzynski equality relates the free energy difference between two equilibrium states to the fluctuating irreversible work afforded to switch between them. The prescribed fixed temperature for the equilibrium states implicitly constrains…

统计力学 · 物理学 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

Recent advances in experimental techniques allow one to measure and control systems at the level of single molecules and atoms. Here gaining information about fluctuating thermodynamic quantities is crucial for understanding nonequilibrium…

统计力学 · 物理学 2019-05-01 Ken Funo , Masahito Ueda , Takahiro Sagawa

A system--bath (SB) model is considered to examine the Jarzynski equality in the fully quantum regime. In our previous paper [J. Chem. Phys. 153 (2020) 234107], we carried out "exact" numerical experiments using hierarchical equations of…

统计力学 · 物理学 2021-02-11 Souichi Sakamoto , Yoshitaka Tanimura

The transverse field Ising chain (TFIC) model is ideally suited for testing the fundamental ideas of quantum phase transitions, because its well-known $T=0$ ground state can be extrapolated to finite temperatures. Nonetheless, the lack of…

强关联电子 · 物理学 2014-07-17 A. W. Kinross , M. Fu , T. J. Munsie , H. A. Dabkowska , G. M. Luke , S. Sachdev , T. Imai

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan , Yariv Kafri , Dov Levine

Elucidating the energy transfer between a quantum system and a reservoir is a central issue in quantum non-equilibrium thermodynamics, which could provide novel tools to engineer quantum-enhanced heat engines. The lack of information on the…

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

量子物理 · 物理学 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

We study the statistics of heat exchange of a quantum system that collides sequentially with an arbitrary number of ancillas. This can describe, for instance, an accelerated particle going through a bubble chamber. Unlike other approaches…

量子物理 · 物理学 2020-08-26 Jader P. Santos , André M. Timpanaro , Gabriel T. Landi