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Focusing on a continuous-time quantum walk on $\mathbb{Z}=\left\{0,\pm 1,\pm 2,\ldots\right\}$, we analyze a probability distribution with which the quantum walker is observed at a position. The walker launches off at a localized state and…

Quantum Physics · Physics 2023-09-06 Takuya Machida

We study the work statistics of a measurement-based quantum Otto engine, where quantum non-selective measurements are used to fuel the engine, in a coupled spin working system (WS). The WS exhibits quantum coherence in the energy eigenbasis…

Quantum Physics · Physics 2025-05-27 Chayan Purkait , Shubhrangshu Dasgupta , Asoka Biswas

Work in isolated quantum systems is a random variable and its probability distribution function obeys the celebrated fluctuation theorems of Crooks and Jarzynski. In this study, we provide a simple way to describe the work probability…

Quantum Physics · Physics 2019-12-04 Eric G. Arrais , Diego A. Wisniacki , Augusto J. Roncaglia , Fabricio Toscano

The study of quantum thermodynamics is key to the development of quantum thermal machines. In contrast to most of the previous proposals based on discrete strokes, here we consider a working substance that is permanently coupled to two or…

Quantum Physics · Physics 2022-02-09 Heather Leitch , Nicolò Piccione , Bruno Bellomo , Gabriele De Chiara

A meaningful probability distribution for measurements of a quantum stress tensor operator can only be obtained if the operator is averaged in time or in spacetime. This averaging can be regarded as a description of the measurement process.…

High Energy Physics - Theory · Physics 2015-11-11 Christopher J. Fewster , L. H. Ford

Diffusive motion in an externally driven potential is considered. It is shown that the distribution of work required to drive the system from an initial equilibrium state to another is Gaussian for slow but finite driving. Our result is…

Statistical Mechanics · Physics 2007-05-23 Thomas Speck , Udo Seifert

We discuss spreading estimates for dynamical systems given by the iteration of an extended CMV matrix. Using a connection due to Cantero--Gr\"unbaum--Moral--Vel\'azquez, this enables us to study spreading rates for quantum walks in one…

Mathematical Physics · Physics 2016-03-04 David Damanik , Jake Fillman , Darren C. Ong

We discuss some problems of dissipative chaos for open quantum systems in the framework of semiclassical and quantum distributions. For this goal, we propose a driven nonlinear oscillator with time-dependent coefficients, i.e. with…

Quantum Physics · Physics 2017-08-23 T. V. Gevorgyan , A. R. Shahinyan , G. Yu. Kryuchkyan

We investigate the formulation of work distributions for quantum scalar fields in static curved spacetimes by extending the Ramsey interferometric protocol originally developed in previous works for flat spacetimes. The use of Unruh-DeWitt…

Quantum Physics · Physics 2026-01-22 Rafael L. S. Costa , Marcos L. W. Basso , Jonas Maziero , Lucas C. Céleri

In order to investigate the role of initial quantum coherence in work probability distribution, it is necessary to explicitly consider a concrete measurement apparatus to record work rather than implicitly appealing to perform an energy…

Quantum Physics · Physics 2024-10-29 Bao-Ming Xu , Jian Zou , Zhan-Chun Tu

In this paper, we consider the momentum operator of a quantum particle directed along the displacement of two of its neighbors. A modified open-path path integral molecular dynamics is presented to sample the distribution of this…

Quantum Physics · Physics 2020-10-07 Yantao Wu , Roberto Car

We compute the distribution of the work done in driving a single Ising spin with a time-dependent magnetic field. Using Glauber dynamics we perform Monte-Carlo simulations to find the work distributions at different driving rates. We find…

Statistical Mechanics · Physics 2007-05-23 Rahul Marathe , Abhishek Dhar

The passage-time distribution for a spread-out quantum particle to traverse a specific region is calculated using a detailed quantum model for the detector involved. That model, developed and investigated in earlier works, is based on the…

Quantum Physics · Physics 2007-05-23 Gerhard C. Hegerfeldt , Jens Timo Neumann , Lawrence S. Schulman

The present article focuses on studying the extent to which the nonuniqueness that is inherent in the standard quantum mechanical calculation of arrival/transit time distribution can be exploited to enable an empirical scrutiny of any…

Quantum Physics · Physics 2013-01-22 Dipankar Home , Alok Kumar Pan

We investigate a connection between a property of the distribution and a conserved quantity for the reversible cellular automaton derived from a discrete-time quantum walk in one dimension. As a corollary, we give a detailed information of…

Quantum Physics · Physics 2009-11-10 Norio Konno , Kenichi Mitsuda , Takahiro Soshi , Hyun Jae Yoo

Using the Onsager-Machlup functional integral approach, we obtain the work distribution function and the distribution of the dissipated heat of a Brownian particle subjected to a confining harmonic potential and an oscillatory driving…

Statistical Mechanics · Physics 2016-01-29 Bappa Saha , Sutapa Mukherji

In this paper we discuss the Morse potential on a quantum computer. The Morse potential is useful to describe diatomic molecules and has a finite number of bound states which can be measured through spectroscopy. It is also a example of an…

Quantum Physics · Physics 2021-02-11 Josh Apanavicius , Yuan Feng , Yasmin Flores , Mohammad Hassan , Michael McGuigan

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we have picked out two 2-dim billiard systems. Both systems are…

Chaotic Dynamics · Physics 2022-06-08 Sebastian Rosmej , Mattes Heerwagen

The statistics of work performed on a system by a sudden random quench is investigated. Considering systems with finite dimensional Hilbert spaces we model a sudden random quench by randomly choosing elements from a Gaussian unitary…

Quantum Physics · Physics 2017-05-31 Marcin Łobejko , Jerzy Łuczka , Peter Talkner

What is the role of coherence in determining the distribution of work done on a quantum system? We approach this question from an operational perspective and consider a setup in which the internal energy of a closed system is recorded by a…

Quantum Physics · Physics 2016-11-15 Paolo Solinas , Simone Gasparinetti