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The ideas of thermodynamics have proved fruitful in the setting of quantum information theory, in particular the notion that when the allowed transformations of a system are restricted, certain states of the system become useful resources…

We design several examples of constrained, symmetric quantum circuit dynamics that generate non-equilibrium steady states. The qubit networks maintain local memory of the initial conditions and display inhomogeneous subsystem dynamics over…

Quantum Physics · Physics 2025-05-02 Unnati Akhouri , Sarah Shandera , Jackson Henry

Recent years have seen an enormously revived interest in the study of thermodynamic notions in the quantum regime. This applies both to the study of notions of work extraction in thermal machines in the quantum regime, as well as to…

Quantum Physics · Physics 2016-12-28 M. Perarnau-Llobet , A. Riera , R. Gallego , H. Wilming , J. Eisert

Observational entropy captures both the intrinsic uncertainty of a thermodynamic state and the lack of knowledge due to coarse-graining. We demonstrate two interpretations of observational entropy, one as the statistical deficiency…

Quantum Physics · Physics 2024-11-20 Ge Bai , Dominik Šafránek , Joseph Schindler , Francesco Buscemi , Valerio Scarani

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

We generalize the thermal pure quantum (TPQ) formulation of statistical mechanics, in such a way that it is applicable to systems whose Hilbert space is infinite dimensional. Assuming particle systems, we construct the grand-canonical TPQ…

Statistical Mechanics · Physics 2014-10-02 Masahiko Hyuga , Sho Sugiura , Kazumitsu Sakai , Akira Shimizu

In non-interacting isolated quantum systems out of equilibrium, local subsystems typically relax to non-thermal stationary states. In the standard framework, information on the rest of the system is discarded, and such states are described…

Quantum Physics · Physics 2023-03-23 Maxime Lucas , Lorenzo Piroli , Jacopo De Nardis , Andrea De Luca

We study the ensemble of states generated by performing projective measurements on the output of a random matchgate (or free-fermionic) quantum circuit. We rigorously show that this `projected ensemble' exhibits deep thermalization: For…

Quantum Physics · Physics 2025-07-15 Mircea Bejan , Benjamin Béri , Max McGinley

A general Werner-type state is studied from two viewpoints: (i) an application of dynamical interaction of the objective system with its environment, represented by a unital positive operator-valued measure (POVM), which ensures increase of…

Statistical Mechanics · Physics 2010-01-22 Sumiyoshi Abe , A. R. Usha Devi , A. K. Rajagopal

The theory of small-system thermodynamics was originally developed to extend the laws of thermodynamics to length scales of nanometers. Here we review this "nanothermodynamics," and stress how it also applies to large systems that subdivide…

Statistical Mechanics · Physics 2020-07-28 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

Several recent results on thermodynamics have been obtained using the tools of quantum information theory and resource theories. So far, the resource theories utilised to describe thermodynamics have assumed the existence of an infinite…

Quantum Physics · Physics 2017-11-16 Carlo Sparaciari , Jonathan Oppenheim , Tobias Fritz

Recent studies of interacting systems of quantum spins, ultracold atoms and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal state. It has been shown that many such…

Quantum Gases · Physics 2021-08-10 Zlatko Papić

We demonstrate that the entanglement entropy area law for free fermion ground states and the corresponding volume law for highly excited states are related by a position-momentum duality, thus of the same origin. For a typical excited state…

Statistical Mechanics · Physics 2015-03-05 Hsin-Hua Lai , Kun Yang

We investigate the time evolution of a generic and finite isolated quantum many-body system starting from a pure quantum state. We find the kinematical general canonical principle proposed by Popescu-Short-Winter for statistical mechanics…

Quantum Physics · Physics 2012-01-17 Shuai Cui , Jun-Peng Cao , Hui Jing , Heng Fan , Wu-Ming Liu

One of the core questions of quantum physics is how to reconcile the unitary evolution of quantum states, which is information-preserving and time-reversible, with evolution following the second law of thermodynamics, which, in general, is…

Thermodynamics and information have intricate interrelations. Often thermodynamics is considered to be the logical premise to justify that information is physical - through Landauer's principle -, thereby also linking information and…

The Eigenstate Thermalization Hypothesis (ETH) represents a cornerstone in the theoretical understanding of the emergence of thermal behavior in closed quantum systems. The ETH asserts that expectation values of simple observables in energy…

Statistical Mechanics · Physics 2024-05-15 Giorgio Cipolloni , Jonah Kudler-Flam

Understanding the thermodynamic properties of many-body quantum systems and their emergence from microscopic laws is a topic of great significance due to its profound fundamental implications and extensive practical applications. Recent…

Quantum Physics · Physics 2024-09-05 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

The microcanonical ensemble has long been a starting point for the development of thermodynamics from statistical mechanics. However, this approach presents two problems. First, it predicts that the entropy is only defined on a discrete set…

Statistical Mechanics · Physics 2017-06-07 William Griffin , Michael Matty , Robert H. Swendsen