Noncommuting conserved charges in quantum thermodynamics and beyond

Fuente: arXiv
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Autori principali: Majidy, Shayan, Braasch Jr., William F., Lasek, Aleksander, Upadhyaya, Twesh, Kalev, Amir, Halpern, Nicole Yunger
Natura: Preprint
Pubblicazione: 2023
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author Majidy, Shayan
Braasch Jr., William F.
Lasek, Aleksander
Upadhyaya, Twesh
Kalev, Amir
Halpern, Nicole Yunger
author_facet Majidy, Shayan
Braasch Jr., William F.
Lasek, Aleksander
Upadhyaya, Twesh
Kalev, Amir
Halpern, Nicole Yunger
contents Thermodynamic systems typically conserve quantities ("charges") such as energy and particle number. The charges are often assumed implicitly to commute with each other. Yet quantum phenomena such as uncertainty relations rely on observables' failure to commute. How do noncommuting charges affect thermodynamic phenomena? This question, upon arising at the intersection of quantum information theory and thermodynamics, spread recently across many-body physics. Charges' noncommutation has been found to invalidate derivations of the thermal state's form, decrease entropy production, conflict with the eigenstate thermalization hypothesis, and more. This Perspective surveys key results in, opportunities for, and work adjacent to the quantum thermodynamics of noncommuting charges. Open problems include a conceptual puzzle: Evidence suggests that noncommuting charges may hinder thermalization in some ways while enhancing thermalization in others.
format Preprint
id arxiv_https___arxiv_org_abs_2306_00054
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Noncommuting conserved charges in quantum thermodynamics and beyond
Majidy, Shayan
Braasch Jr., William F.
Lasek, Aleksander
Upadhyaya, Twesh
Kalev, Amir
Halpern, Nicole Yunger
Quantum Physics
Statistical Mechanics
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
Thermodynamic systems typically conserve quantities ("charges") such as energy and particle number. The charges are often assumed implicitly to commute with each other. Yet quantum phenomena such as uncertainty relations rely on observables' failure to commute. How do noncommuting charges affect thermodynamic phenomena? This question, upon arising at the intersection of quantum information theory and thermodynamics, spread recently across many-body physics. Charges' noncommutation has been found to invalidate derivations of the thermal state's form, decrease entropy production, conflict with the eigenstate thermalization hypothesis, and more. This Perspective surveys key results in, opportunities for, and work adjacent to the quantum thermodynamics of noncommuting charges. Open problems include a conceptual puzzle: Evidence suggests that noncommuting charges may hinder thermalization in some ways while enhancing thermalization in others.
title Noncommuting conserved charges in quantum thermodynamics and beyond
topic Quantum Physics
Statistical Mechanics
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2306.00054