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贝塞晶格上量子自旋玻璃中的遍历和局域区域。

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

作者信息

Mossi G, Scardicchio A

机构信息

SISSA, Via Bonomea 265, 34136 Trieste, Italy

INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste, Italy.

出版信息

Philos Trans A Math Phys Eng Sci. 2017 Dec 13;375(2108). doi: 10.1098/rsta.2016.0424.

Abstract

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'.

摘要

通过考虑贝塞晶格上横场伊辛自旋玻璃的量子动力学,我们发现在小横场和低温下存在多体局域化(MBL)区域。该区域位于热力学自旋玻璃相内。因此,我们推测玻璃态区域内的量子动力学被划分为一个小的MBL区域和一个大的非局域化(但不一定是遍历的)区域。这对量子绝热算法性能的分析具有重要意义。本文是主题为“量子系统中遍历性的崩溃:从固体到合成物质”特刊的一部分。

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引用本文的文献

本文引用的文献

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Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain.无序量子自旋链的对角化和多体局域化。
Phys Rev Lett. 2016 Jul 8;117(2):027201. doi: 10.1103/PhysRevLett.117.027201. Epub 2016 Jul 5.
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Many-body mobility edge in a mean-field quantum spin glass.多体动边缘在平均场量子自旋玻璃中。
Phys Rev Lett. 2014 Nov 14;113(20):200405. doi: 10.1103/PhysRevLett.113.200405.
3
Local conservation laws and the structure of the many-body localized states.局域守恒律与多体局域态的结构。
Phys Rev Lett. 2013 Sep 20;111(12):127201. doi: 10.1103/PhysRevLett.111.127201. Epub 2013 Sep 17.
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Unbounded growth of entanglement in models of many-body localization.多体局域化模型中纠缠的无界增长。
Phys Rev Lett. 2012 Jul 6;109(1):017202. doi: 10.1103/PhysRevLett.109.017202. Epub 2012 Jul 3.
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Anderson localization makes adiabatic quantum optimization fail.安德森局域化使得绝热量子优化失败。
Proc Natl Acad Sci U S A. 2010 Jul 13;107(28):12446-50. doi: 10.1073/pnas.1002116107. Epub 2010 Jun 24.
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Chaos and quantum thermalization.混沌与量子热化
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Aug;50(2):888-901. doi: 10.1103/physreve.50.888.
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Quantum statistical mechanics in a closed system.封闭系统中的量子统计力学。
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