Renormalization view on resonance proliferation between many-body localized phases

Renormalization view on resonance proliferation between many-body localized phases
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多体局域相间共振增殖的重正化观点

DOI:
10.1103/physrevb.108.094205
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发表时间:
2023
期刊:
影响因子:
3.7
通讯作者:
Jeyaretnam J
Jeyaretnam J
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Jeyaretnam J

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拓扑学和多体定域化(MBL)为在有限能量密度下保持量子信息开辟了新的途径。共振离域在这些现象的不稳定性中起着至关重要的作用。在本文中,我们研究了多体共振在无序相互作用伊辛模型,它可以主机的拓扑顺序保护使用Clifford电路编码的实空间重整化群,它允许波函数的共振特性,有效地表征的统计特性。我们的研究结果表明,平凡的和拓扑有序的MBL相保持稳定的存在下的共振,但在附近的过渡之间,本地化是不稳定的共振增殖。对雪崩不稳定性发展的不同敏感性表明了一个干预遍历阶段。我们还能够访问的MBL阶段的运动的局部积分,并确定在有序阶段的拓扑边缘模式运营商。我们的研究结果具有重要的意义MBL的稳定性和不同的MBL相位之间的相变和不对称性。
Topology and many-body localization (MBL) have opened new avenues for preserving quantum information at finite energy density. Resonant delocalization plays a crucial role in destabilizing these phenomena. In this paper, we study the statistical properties of many-body resonances in a disordered interacting Ising model—which can host symmetry-protected topological order—using a Clifford circuit encoding of the real-space renormalization group which allows the resonant properties of the wave functions to be efficiently characterized. Our findings show that both the trivial and topologically ordered MBL phases remain stable in the presence of the resonances but, in the vicinity of the transition between them, localization is destabilized by resonance proliferation. Diverging susceptibility towards the development of an avalanche instability suggests an intervening ergodic phase. We are also able to access the local integrals of motion in the MBL phases and identify the topological edge-mode operators in the ordered phase. Our results have important implications for the stability of MBL and phase transitions between distinct MBL phases with and without symmetries.
DOI: 10.1038/nature24622
发表时间: 2017-11-30
期刊: NATURE
影响因子: 64.8
作者:
Bernien, Hannes;Schwartz, Sylvain;Lukin, Mikhail D.
通讯作者: Lukin, Mikhail D.
DOI: 10.1088/1742-5468/aa73f0
发表时间: 2017-06-01
影响因子: 2.4
作者:
Kemp, Jack;Yao, Norman Y.;Fendley, Paul
通讯作者: Fendley, Paul