TY - JOUR
T1 - Relaxation of Multitime Statistics in Quantum Systems
AU - Dowling, Neil
AU - Figueroa–Romero, Pedro
AU - Pollock, Felix A.
AU - Strasberg, Philipp
AU - Modi, Kavan
N1 - Funding Information:
ND is supported by an Australian Government Research Training Program Scholarship and the Monash Graduate Excellence Scholarship. PS acknowledges financial support from a fellowship from “la Caixa” Foundation (ID 100010434, fellowship code LCF/BQ/PR21/11840014) and from the Spanish Agencia Estatal de Inves-tigación (project no. PID2019-107609GB-I00), the Spanish MINECO (FIS2016-80681-P, AEI/FEDER, UE), and the Generalitat de Catalunya (CIRIT 2017-SGR-1127). KM is supported through Australian Research Council Future Fellowship FT160100073, Discovery Project DP210100597, and the International Quantum U Tech Accelerator award by the US Air Force Research Laboratory.
Funding Information:
ND is supported by an Australian Government Research Training Program Scholarship and the Monash Graduate Excellence Scholarship. PS acknowledges financial support from a fellowship from “la Caixa” Foundation (ID 100010434, fellowship code LCF/BQ/PR21/11840014) and from the Spanish Agencia Estatal de Investigación (project no. PID2019-107609GBI00), the Spanish MINECO (FIS2016-80681-P, AEI/FEDER, UE), and the Generalitat de Catalunya (CIRIT 2017-SGR-1127). KM is supported through Australian Research Council Future Fellowship FT160100073, Discovery Project DP210100597, and the International Quantum U Tech Accelerator award by the US Air Force Research Laboratory.
Publisher Copyright:
© 2023 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All Rights Reserved.
PY - 2023/6/1
Y1 - 2023/6/1
N2 - Equilibrium statistical mechanics provides powerful tools to understand physics at the macroscale. Yet, the question remains how this can be justified based on a microscopic quantum description. Here, we extend the ideas of pure state quantum statistical mechanics, which focus on single time statistics, to show the equilibration of isolated quantum processes. Namely, we show that most multitime observables for sufficiently large times cannot distinguish a nonequilibrium process from an equilibrium one, unless the system is probed for an extremely large number of times or the observable is particularly fine-grained. A corollary of our results is that the degree of non-Markovianity and other multitime characteristics of a nonequilibrium process also equilibrate.
AB - Equilibrium statistical mechanics provides powerful tools to understand physics at the macroscale. Yet, the question remains how this can be justified based on a microscopic quantum description. Here, we extend the ideas of pure state quantum statistical mechanics, which focus on single time statistics, to show the equilibration of isolated quantum processes. Namely, we show that most multitime observables for sufficiently large times cannot distinguish a nonequilibrium process from an equilibrium one, unless the system is probed for an extremely large number of times or the observable is particularly fine-grained. A corollary of our results is that the degree of non-Markovianity and other multitime characteristics of a nonequilibrium process also equilibrate.
UR - http://www.scopus.com/inward/record.url?scp=85165915101&partnerID=8YFLogxK
U2 - 10.22331/Q-2023-06-01-1027
DO - 10.22331/Q-2023-06-01-1027
M3 - Article
AN - SCOPUS:85165915101
SN - 2521-327X
VL - 7
JO - Quantum
JF - Quantum
ER -