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We present a characteristic function method to calculate the probability density functions of the inclusive work in the adiabatic two-level quantum Markovian master equations. These systems are steered by some slowly varying parameters and…

统计力学 · 物理学 2014-09-23 Fei Liu

We consider continuously monitored quantum systems and introduce definitions of work and heat along individual quantum trajectories that are valid for coherent superpositions of energy eigenstates. We use these quantities to extend the…

量子物理 · 物理学 2016-03-22 Jose Joaquin Alonso , Eric Lutz , Alessandro Romito

Work statistics characterizes important features of a non-equilibrium thermodynamic process. But the calculation of the work statistics in an arbitrary non-equilibrium process is usually a cumbersome task. In this work, we study the work…

统计力学 · 物理学 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , H. T. Quan

We apply the quantum jump approach to address the statistics of work in a driven two-level system coupled to a heat bath. We demonstrate how this question can be analyzed by counting photons absorbed and emitted by the environment in…

量子物理 · 物理学 2015-06-16 F. W. J. Hekking , J. P. Pekola

As quantum systems become more experimentally accessible, we are forced to reconsider the notions of control and work to fully account for quantum effects. To this end, we identify the work injected into a quantum system during a general…

量子物理 · 物理学 2014-05-21 J. Salmilehto , P. Solinas , M. Möttönen

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…

量子物理 · 物理学 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is described by a quantum Markovian master equation. One is based on multiple time correlation functions and the other is based on the quantum trajectory…

统计力学 · 物理学 2015-06-18 Fei Liu

We present a theory of quantum work statistics in generic chaotic, disordered Fermi liquid systems within a driven random matrix formalism. By extending P. W. Anderson's orthogonality determinant formula to compute quantum work…

介观与纳米尺度物理 · 物理学 2023-03-16 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd

We study the equivalence between the recently proposed finite environment quantum jump model and a master equation approach. We derive microscopically the master equation for a qubit coupled to a finite bosonic environment and show that the…

量子物理 · 物理学 2016-12-09 Samu Suomela , Rui Sampaio , Tapio Ala-Nissila

Characteristic functions (CFs) provide a very efficient method for evaluating the probability density functions of stochastic thermodynamic quantities and investigating their statistical features in quantum master equations (QMEs). A…

统计力学 · 物理学 2016-12-28 Fei Liu , Jingyi Xi

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…

量子物理 · 物理学 2021-07-07 Paolo Solinas , Mirko Amico , Nino Zanghì

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…

量子物理 · 物理学 2017-06-16 Harry J. D. Miller , Janet Anders

For a quantum system undergoing a unitary process work is commonly defined based on the Two Projective Measurement (TPM) protocol which measures the energies of the system before and after the process. However, it is well known that…

量子物理 · 物理学 2017-11-22 P. Solinas , H. J. D. Miller , J. Anders

Markovian quantum master equations (MQMEs) were established nearly half a century ago. They have often been used in the study of irreversible thermodynamics. However, the previous results were mainly concerned about ensemble averages; the…

统计力学 · 物理学 2018-02-26 Fei Liu

This paper presents a comprehensive review of the wave-function approach for derivation of the number-resolved Master equations, used for description of transport and measurement in mesoscopic systems. The review contains important…

介观与纳米尺度物理 · 物理学 2017-06-20 Shmuel Gurvitz

For quantum transport through mesoscopic system, a quantum master equation approach is developed in terms of compact expressions for the transport current and the reduced density matrix of the system. The present work is an extension of…

介观与纳米尺度物理 · 物理学 2009-11-10 Xin-Qi Li , Jun-Yan Luo , Yong-Gang Yang , Ping Cui , YiJing Yan

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype…

统计力学 · 物理学 2013-04-24 Huanan Li , Jian-Sheng Wang

Work belongs to the most basic notions in thermodynamics but it is not well understood in quantum systems, especially in open quantum systems. By introducing a novel concept of work functional along individual Feynman path, we invent a new…

统计力学 · 物理学 2018-07-30 Ken Funo , H. T. Quan

We show that the dynamics of a driven quantum system weakly coupled to a finite reservoir can be approximated by a sequence of Landau-Zener transitions if the level spacing of the reservoir is large enough. This approximation can be…

统计力学 · 物理学 2019-05-01 Juzar Thingna , Massimiliano Esposito , Felipe Barra

The Monte Carlo wave function method or the quantum trajectory/jump approach is a powerful tool to study dissipative dynamics governed by the Markovian master equation, in particular for high-dimensional systems and when it is difficult to…

量子物理 · 物理学 2009-11-13 X. L. Huang , H. Y. Sun , X. X. Yi
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