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The classical limit problem of quantum mechanics is revisited on the basis of a scheme that enables a quantitative study of the way the quantum-classical agreement emerges while going through the intermediate mass range between the…

Quantum Physics · Physics 2015-05-13 Dipankar Home , Alok Kumar Pan , Arka Banerjee

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 review the use of an external auxiliary detector for measuring the full distribution of the work performed on or extracted from a quantum system during a unitary thermodynamic process. We first illustrate two paradigmatic schemes that…

Quantum Physics · Physics 2019-05-01 Gabriele De Chiara , Paolo Solinas , Federico Cerisola , Augusto J. Roncaglia

We consider the problem of the driven harmonic oscillator in the probability representation of quantum mechanics, where the oscillator states are described by fair nonnegative probability distributions of position measured in rotated and…

Quantum Physics · Physics 2012-04-04 Dmitry B. Lemeshevskiy , Vladimir I. Man'ko

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…

Quantum Physics · Physics 2017-06-16 Harry J. D. Miller , Janet Anders

In this paper, we work on a quantum walk whose system is manipulated by a five-diagonal unitary matrix, and present long-time limit distributions. The quantum walk launches off a location and delocalizes in distribution as its system is…

Quantum Physics · Physics 2021-02-11 Takuya Machida

We study the distribution of work induced by the two-point measurement protocol for a driven open quantum system. We first derive a general form for the generating function of work for the total system, bearing in mind that the Hamiltonian…

Quantum Physics · Physics 2014-10-01 S. Suomela , P. Solinas , J. P. Pekola , J. Ankerhold , T. Ala-Nissila

Various approaches of defining and determining work performed on a quantum system are compared. Any operational definition of work, however, must allow for two facts, first, that work characterizes a process rather than an instantaneous…

Quantum Physics · Physics 2016-03-02 Peter Talkner , Peter Hanggi

In this paper, quantum mechanics on a circle with finite number of {\alpha}-uniformly distributed points is discussed. The angle operator and translation operator are defined. Using discrete angle representation, two types of discrete…

Quantum Physics · Physics 2023-09-08 Won Sang Chung , Ilyas Haouam , Hassan Hassanabadi

Quantum walks function as essential means to implement quantum simulators, allowing one to study complex and often directly inaccessible quantum processes in controllable systems. In this contribution, the notion of a driven Gaussian…

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

The atom-optics kicked rotor can be used to prepare specific momentum distributions on a discrete basis set. We implement a continuous-time quantum walk and a quantum search protocol in this momentum basis. In particular we propose ways to…

Quantum Physics · Physics 2020-02-24 Michele Delvecchio , Caspar Groiseau , Francesco Petiziol , Gil S Summy , Sandro Wimberger

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…

Statistical Mechanics · Physics 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , H. T. Quan

This work applies lattice QCD to compute quark momentum distributions in the nucleon. We explore a novel approach based on non-local operators in order to analyze transverse momentum dependent parton distribution functions, which encode…

High Energy Physics - Lattice · Physics 2009-07-15 Bernhard U. Musch

A quantum mechanical theory is developed for the statistics of momentum transferred to the lattice by conduction electrons. Results for the electromechanical noise power in the semiclassical diffusive transport regime agree with a recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , C. W. J. Beenakker

We study the arrival time distribution of overdamped particles driven by a constant force in a piecewise linear random potential which generates the dichotomous random force. Our approach is based on the path integral representation of the…

Statistical Mechanics · Physics 2007-09-06 S. I. Denisov , M. Kostur , E. S. Denisova , P. Hänggi

We calculate the single-particle momentum distribution of a quantum many-particle system in the presence of the Coulomb interaction and a confining potential. The region of intermediate momenta, where the confining potential dominates,…

Other Condensed Matter · Physics 2020-07-21 J. A. E. Bonart , W. H. Appelt , D. Vollhardt , L. Chioncel

We consider a particle in harmonic oscillator potential, whose position is periodically measured with an instrument of finite precision. We show that the distribution of the measured positions tends to a limiting distribution when the…

Quantum Physics · Physics 2021-01-18 Arnab Acharya , Debapriya Pal , Soumitro Banerjee , Ananda Dasgupta

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