Rare-region effects and dynamics near the many-body localization transition

被引：159

作者：

Agarwal, Kartiek ^{[1
]}

Altman, Ehud ^{[2
]}

Demler, Eugene ^{[3
]}

Gopalakrishnan, Sarang ^{[4
]}

Huse, David A. ^{[5
]}

Knap, Michael ^{[6
,7
]}

机构：

[1] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

[3] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[4] CUNY Coll Staten Isl, Dept Engn Sci & Phys, Staten Isl, NY 10314 USA

[5] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[6] Tech Univ Munich, Walter Schottky Inst, Dept Phys, D-85748 Garching, Germany

[7] Tech Univ Munich, Inst Adv Study, D-85748 Garching, Germany

来源：

ANNALEN DER PHYSIK | 2017年 / 529卷 / 07期

基金：

美国国家科学基金会;

关键词：

localization physics; Griffiths effects; slow dynamical phenomena; QUANTUM; SYSTEM; THERMALIZATION; GLASSES;

D O I：

10.1002/andp.201600326

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally in the other phase, i.e., rare localized regions in a system that is typically thermal, or rare thermal regions in a system that is typically localized. Rare localized regions affect the properties of the thermal phase, especially in one dimension, by acting as bottlenecks for transport and the growth of entanglement, whereas rare thermal regions in the localized phase act as local baths and dominate the low-frequency response of the MBL phase. We review recent progress in understanding these rare-region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many-body localized phase.

引用

页数：18

共 112 条

[91] Realization of a Quantum Integer-Spin Chain with Controllable Interactions [J].