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Ergodicity breaking transition in finite disordered spin chains
ID Šuntajs, Jan (Author), ID Bonča, Janez (Author), ID Prosen, Tomaž (Author), ID Vidmar, Lev (Author)

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Abstract
We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. We study ergodicity indicators such as the eigenstate entanglement entropy and the spectral level spacing ratio, and we consistently find that an (infinite-order) Berezinskii-KosterlitzThouless transition yields a lower cost function when compared to a finite-order transition. Interestingly, we observe that the ergodicity breaking transition in systems studied by exact diagonalization (with around 20 lattice sites) takes place at disorder values lower than those reported in previous works. As a consequence, the crossing point in finite systems exhibits nearly thermal properties, i.e., ergodicity indicators at the transition are close to the random matrix theory predictions.

Language:English
Keywords:quantum statistical mechanics
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2020
Publication status in journal:Published
Article version:Postprint, final article version, accepted into publication
Number of pages:Str. 064207-1-064207-11
Numbering:Vol. 102, iss. 6
PID:20.500.12556/RUL-118047 This link opens in a new window
UDC:536.93
ISSN on article:2469-9950
DOI:10.1103/PhysRevB.102.064207 This link opens in a new window
COBISS.SI-ID:25337091 This link opens in a new window
Publication date in RUL:17.08.2020
Views:535
Downloads:323
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Record is a part of a journal

Title:Physical review
Publisher:American Physical Society
ISSN:2469-9950
COBISS.SI-ID:2997348 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna statistična mehanika

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems
Acronym:OMNES

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0044
Name:Teorija trdnih snovi in statistična fizika

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0402
Name:Matematična fizika

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:J1-1696
Name:Diagnoza neravnovesne kvantne materije

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