Ergodic and localized regions in quantum spin glasses on the Bethe lattice

被引：12

作者：

Mossi, G. ^{[1
,2
]}

Scardicchio, A. ^{[2
,3
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Ist Nazl Fis Nucl, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy

[3] Abdus Salam ICTP Trieste, Str Costiera 11, I-34151 Trieste, Italy

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2017年 / 375卷 / 2108期

关键词：

many-body localization; glass transition; quantum annealing; MANY-BODY LOCALIZATION; STATISTICAL-MECHANICS; THERMALIZATION; SYSTEM; CHAOS; PHASE;

D O I：

10.1098/rsta.2016.0424

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

By considering the quantum dynamics of a transverse-field Ising spin glass on the Bethe lattice, we find the existence of a many-body localized (MBL) region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split into a small MBL region and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms. This article is part of the themed issue 'Breakdown of ergodicity in quantum systems: from solids to synthetic matter'.

引用

页数：13

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