Signatures of integrability in the dynamics of Rydberg-blockaded chains

Signatures of integrability in the dynamics of Rydberg-blockaded chains
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DOI:
10.1103/physrevb.99.161101
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发表时间:
2018-07
期刊:
影响因子:
3.7
通讯作者:
V. Khemani;C. Laumann;A. Chandran
V. Khemani;C. Laumann;A. Chandran
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
V. Khemani;C. Laumann;A. Chandran

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最近对 51 个原子里德伯封锁链进行的一项实验观察到,从反铁磁初始状态淬灭后,局部可观测量存在异常的长寿命时间振荡。这种相干性是令人惊讶的,因为初始状态应该迅速热化到无限温度。在这篇《快速通信》中,我们表明实验哈密顿量在整个多体谱中表现出非热行为,具有与接近可积点的模型类似的有限尺寸缩放特性。此外,我们构造了哈密顿量的显式小局部变形,它增强了可积性的特征和淬火后观察到的相干振荡。我们的结果表明,父近可积点控制着实验系统的早期到中期的时间动态。母模型中独特的淬火动力学可能标志着一类非常规的可积系统。
A recent experiment on a 51-atom Rydberg-blockaded chain observed anomalously long-lived temporal oscillations of local observables after quenching from an antiferromagnetic initial state. This coherence is surprising as the initial state should have thermalized rapidly to infinite temperature. In this Rapid Communication, we show that the experimental Hamiltonian exhibits nonthermal behavior across its entire many-body spectrum, with similar finite-size scaling properties as models proximate to integrable points. Moreover, we construct an explicit small local deformation of the Hamiltonian which enhances both the signatures of integrability and the coherent oscillations observed after the quench. Our results suggest that a parent proximate integrable point controls the early-to-intermediate time dynamics of the experimental system. The distinctive quench dynamics in the parent model could signal an unconventional class of integrable system.