Quantifying spatiotemporal patterns in classical and quantum systems out of equilibrium

Standard

Quantifying spatiotemporal patterns in classical and quantum systems out of equilibrium. / Maletskii, E. A.; Iakovlev, I. A.; Mazurenko, V.
In: Physical Review E, Vol. 109, No. 2, 024105, 2024.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{cfa7c2851f654c4e9c6b7fa0285e2580,

title = "Quantifying spatiotemporal patterns in classical and quantum systems out of equilibrium",

abstract = "A rich variety of nonequilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in many-body systems of completely different nature. In this work we provide a solution to this problem by adopting a structural complexity measure to quantify spatiotemporal patterns in the time-dependent digital representation of a system. On the basis of very limited amount of data our approach allows us to distinguish different dynamical regimes and define critical parameters in both classical and quantum systems. By the example of the discrete time crystal realized in nonequilibrium quantum systems we provide a complete low-level characterization of this nontrivial dynamical phase with only processing bitstrings, which can be considered as a valuable alternative to previous studies based on the calculations of qubit correlation functions.",

author = "Maletskii, {E. A.} and Iakovlev, {I. A.} and V. Mazurenko",

year = "2024",

doi = "10.1103/PhysRevE.109.024105",

language = "English",

volume = "109",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "2",

}

RIS

TY - JOUR

T1 - Quantifying spatiotemporal patterns in classical and quantum systems out of equilibrium

AU - Maletskii, E. A.

AU - Iakovlev, I. A.

AU - Mazurenko, V.

PY - 2024

Y1 - 2024

N2 - A rich variety of nonequilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in many-body systems of completely different nature. In this work we provide a solution to this problem by adopting a structural complexity measure to quantify spatiotemporal patterns in the time-dependent digital representation of a system. On the basis of very limited amount of data our approach allows us to distinguish different dynamical regimes and define critical parameters in both classical and quantum systems. By the example of the discrete time crystal realized in nonequilibrium quantum systems we provide a complete low-level characterization of this nontrivial dynamical phase with only processing bitstrings, which can be considered as a valuable alternative to previous studies based on the calculations of qubit correlation functions.

AB - A rich variety of nonequilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in many-body systems of completely different nature. In this work we provide a solution to this problem by adopting a structural complexity measure to quantify spatiotemporal patterns in the time-dependent digital representation of a system. On the basis of very limited amount of data our approach allows us to distinguish different dynamical regimes and define critical parameters in both classical and quantum systems. By the example of the discrete time crystal realized in nonequilibrium quantum systems we provide a complete low-level characterization of this nontrivial dynamical phase with only processing bitstrings, which can be considered as a valuable alternative to previous studies based on the calculations of qubit correlation functions.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85188045627

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001172073200004

U2 - 10.1103/PhysRevE.109.024105

DO - 10.1103/PhysRevE.109.024105

M3 - Article

VL - 109

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 024105

ER -

ID: 54329177