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.
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'.
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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