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We propose a novel approach to define and measure the statistics of work, internal energy and dissipated heat in a driven quantum system. In our framework the presence of a physical detector arises naturally and work and its statistics can…

Quantum Physics · Physics 2015-10-28 P. Solinas , S. Gasparinetti

The Kirkwood-Dirac quasiprobability distribution, intimately connected with the quantum correlation function of two observables measured at distinct times, is becoming increasingly relevant for fundamental physics and quantum technologies.…

Systems switching between different dynamical phases is an ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a…

Statistical Mechanics · Physics 2024-12-05 Ion Santra , Kristian Stølevik Olsen , Deepak Gupta

When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the…

Quantum Physics · Physics 2025-10-09 Zhanyu Ma , Andrew K. Mitchell , Eran Sela

We study the work cost of processes in quantum fields without the need of projective measurements, which are always ill defined in quantum field theory. Inspired by interferometry schemes, we propose a work distribution that generalizes the…

Quantum Physics · Physics 2019-10-10 Alvaro Ortega , Emma McKay , Álvaro M. Alhambra , Eduardo Martin-Martinez

Relaxation dynamics of complex quantum systems with strong interactions towards the steady state is a fundamental problem in statistical mechanics. The steady state of subsystems weakly interacting with their environment is described by the…

Statistical Mechanics · Physics 2016-06-22 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

Quantum Physics · Physics 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

We consider a quasi-probability distribution of work for an isolated quantum system coupled to the energy-storage device given by the ideal weight. Specifically, we analyze a trade-off between changes in average energy and changes in…

Quantum Physics · Physics 2022-07-20 Marcin Łobejko

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

We present results on quantum quenches in systems with a fixed number of particles in a large region. We show that the typical differences between local and global quenches present in systems with regular thermodynamic limit are lacking in…

Statistical Mechanics · Physics 2014-02-26 Yulia E. Shchadilova , Pedro Ribeiro , Masudul Haque

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

Recent investigations of turbulent circulation fluctuations have uncovered substantial insights into the statistical organization of flow structures and revealed unexpected geometric features of turbulent intermittency. Of particular…

Investigation on foundational aspects of quantum statistical mechanics recently entered a renaissance period due to novel intuitions from quantum information theory and to increasing attention on the dynamical aspects of single quantum…

Quantum Physics · Physics 2010-07-22 Barbara Fresch , Giorgio J. Moro

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the centre of intense interdisciplinary research efforts involving communities with interests ranging from holography to quantum information. Here we…

Statistical Mechanics · Physics 2019-05-21 Bruno Bertini , Pavel Kos , Tomaz Prosen

We combine theoretical and experimental efforts to propose a method for studying energy fluctuations, in particular, to obtain the related bi-stochastic matrix of transition probabilities by means of simple measurements at the end of a…

Quantum Physics · Physics 2021-07-21 Marcela Herrera , John P. S. Peterson , Roberto M. Serra , Irene D'Amico

We study the probability distribution of the first return time to the initial state of a quantum many-body system subject to global projective measurements at stroboscopic times. We show that this distribution can be mapped to a…

Statistical Mechanics · Physics 2025-05-02 Benjamin Walter , Gabriele Perfetto , Andrea Gambassi

When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

Statistical Mechanics · Physics 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

We investigate the relation between thermalization following a quantum quench and many-body localization in quasiparticle space in terms of the long-time full distribution function of physical observables. In particular, expanding on our…

Statistical Mechanics · Physics 2012-09-26 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro , Alessandro Silva

Husimi distributions and Wigner distributions are well-known quasi-probability distributions which appear in several contexts. In this paper, we show some remarkable aspects of these distribution functions related to geometric structures of…

Quantum Physics · Physics 2011-01-28 Ryo Harada
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