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Entanglement growth in diffusive systems
ID Žnidarič, Marko (Author)

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Abstract
Entanglement helps in understanding diverse phenomena, going from quantifying complexity to classifying phases of matter. Here we study the influence of conservation laws on entanglement growth. Focusing on systems with U(1) symmetry, i.e., conservation of charge or magnetization, that exhibits diffusive dynamics, we theoretically predict the growth of entanglement, as quantified by the Rényi entropy, in lattice systems in any spatial dimension d and for any local Hilbert space dimension q (qudits). We find that the growth depends both on d and q, and is in generic case first linear in time, similarly as for systems without any conservation laws. Exception to this rule are chains of 2-level systems where the dependence is a square-root of time at all times. Predictions are numerically verified by simulations of diffusive Clifford circuits with upto ~ 10$^5$ qubits. Such efficiently simulable circuits should be a useful tool for other many-body problems.

Language:English
Keywords:quantum mechanics, entanglement, statistical mechanics, condensed matter physics
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Version of Record
Year:2020
Number of pages:9 str.
Numbering:Vol. 3, art. 100
PID:20.500.12556/RUL-128559 This link opens in a new window
UDC:530.145
ISSN on article:2399-3650
DOI:10.1038/s42005-020-0366-7 This link opens in a new window
COBISS.SI-ID:17689859 This link opens in a new window
Publication date in RUL:19.07.2021
Views:1229
Downloads:215
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Record is a part of a journal

Title:Communications physics
Shortened title:Commun. phys.
Publisher:Springer Nature
ISSN:2399-3650
COBISS.SI-ID:2048602387 This link opens in a new window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:01.06.2020

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, prepletenost, statistična mehanika, fizika kondenzirane snovi

Projects

Funder:ARRS - Slovenian Research Agency
Project number:J1-1698
Name:Načrtovanje večdelčnega transporta

Funder:ARRS - Slovenian Research Agency
Project number:P1-0402
Name:Matematična fizika

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