Out-of-equilibrium dynamics and thermalization of string order
Out-of-equilibrium dynamics and thermalization of string order
复制标题
弦序的非平衡动力学和热化
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
R. Fazio
中科院分区：
文献类型：
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作者：
L. Mazza;D. Rossini;M. Endres;R. Fazio
我们研究一维量子系统中弦序的平衡动力学。在 Haldane 相中初始化自旋 1 链后，通过基于矩阵积状态的算法研究突然失超后非局域相关性的时间演化。由于弦相关性传播的最大速度有限（与李布-罗宾逊界限相关），热化仅发生在以明确定义的速度增长的尺度上。有限时间内串排序的持久性与淬灭哈密顿量的对称性密切相关。对于 Bose-Hubbard 链中莫特绝缘相的串序，我们发现了性质相似的行为。这为我们在现有冷原子装置中对结果进行实验测试铺平了道路。
We investigate the equilibration dynamics of string order in one-dimensional quantum systems. After initializing a spin-1 chain in the Haldane phase, the time evolution of nonlocal correlations following a sudden quench is studied by means of matrix-product-state-based algorithms. Thermalization occurs only for scales up to a horizon growing at a well defined speed, due to the finite maximal velocity at which string correlations can propagate, related to a Lieb-Robinson bound. The persistence of string ordering at finite times is nontrivially related to symmetries of the quenched Hamiltonian. A qualitatively similar behavior is found for the string order of the Mott insulating phase in the Bose-Hubbard chain. This paves the way towards an experimental testing of our results in present cold-atom setups.