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The work distribution is a fundamental quantity in nonequilibrium thermodynamics mainly due to its connection with fluctuations theorems. Here we develop a semiclassical approximation to the work distribution for a quench process in chaotic…

Quantum Physics · Physics 2017-05-17 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

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

Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a non-equilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light…

Statistical Mechanics · Physics 2016-11-23 T. R. Kirkpatrick , J. R. Dorfman , J. V. Sengers

We consider the dynamics of an isolated quantum many-body system after a sudden change of one control parameter, focusing on the statistics of the work done. We establish a connection between the generating function of the distribution of…

Statistical Mechanics · Physics 2011-06-15 Andrea Gambassi , Alessandro Silva

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…

The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipaton-equation-of-motion theory, we develop an exact method to…

Statistical Mechanics · Physics 2022-08-11 Hong Gong , Yao Wang , Xiao Zheng , Rui-Xue Xu , YiJing Yan

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle…

Statistical Mechanics · Physics 2014-12-16 Zongping Gong , Sebastian Deffner , H. T. Quan

This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

Asymptotical formulas for the photon distribution function of a quantum oscillator with time-dependent frequency and damping coefficients, interacting with a thermal reservoir, are derived in the case of a large mean number of quanta.…

Quantum Physics · Physics 2015-05-18 V. V. Dodonov

We analytically calculate the work distribution of a quantum harmonic oscillator with arbitrary time-dependent angular frequency. We provide detailed expressions for the work probability density for adiabatic and nonadiabatic processes, in…

Statistical Mechanics · Physics 2010-04-12 Sebastian Deffner , Eric Lutz

We study the statistics of work, dissipation, and entropy production of a quantum quasi-isothermal process, where the system remains close to the thermal equilibrium along the transformation. We derive a general analytic expression for the…

Quantum Physics · Physics 2020-07-01 Matteo Scandi , Harry J. D. Miller , Janet Anders , Marti Perarnau-Llobet

We consider the nonequilibrium work distribution of a quantum oscillator with modulated angular frequency. We examine the discrete-to-continuous transition of the distribution as the temperature and the degree of nonadiabaticity of the…

Statistical Mechanics · Physics 2011-04-28 Sebastian Deffner , Obinna Abah , Eric Lutz

Usually the calculation of work distributions in an arbitrary nonequilibrium process in a quantum system, especially in a quantum many-body system is extremely cumbersome. For all quantum systems described by quadratic Hamiltonians, we…

Statistical Mechanics · Physics 2019-12-18 Zhaoyu Fei , H. T. Quan

We compute the photon creation inside a perfectly conducting, three dimensional oscillating cavity, taking the polarization of the electromagnetic field into account. As the boundary conditions for this field are both of Dirichlet and…

Quantum Physics · Physics 2008-11-26 Martin Crocce , Diego A. R. Dalvit , Francisco D. Mazzitelli

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we study an anharmonic oscillator driven by a periodic external…

Statistical Mechanics · Physics 2020-08-26 Mattes Heerwagen , Andreas Engel

Motivated by experiments on splitting one-dimensional quasi-condensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus…

Statistical Mechanics · Physics 2013-07-16 Spyros Sotiriadis , Andrea Gambassi , Alessandro Silva

We study the large deviations statistics of the intensive work done by changing globally a control parameter in a thermally isolated quantum many-body system. We show that, upon approaching a critical point, large deviations well below the…

Statistical Mechanics · Physics 2012-12-27 Andrea Gambassi , Alessandro Silva

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 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…

Mesoscale and Nanoscale Physics · Physics 2023-03-16 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd

We study the full distribution of quantum work in generic, noninteracting, disordered fermionic nanosystems at finite temperature. We derive an analytical determinant formula for the characteristic function of work statistics for quantum…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 András Grabarits , Márton Kormos , Izabella Lovas , Gergely Zaránd
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