Thermalization of entanglement.
Thermalization of entanglement.
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纠缠的热化。
DOI：
10.1103/physreve.91.062128
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
D. Huse
中科院分区：
文献类型：
--
作者：
Liangsheng Zhang;Hyungwon Kim;D. Huse
研究了两个量子混沌自旋链在幺正时间演化过程中，在高纠缠纯态中平衡态附近纠缠熵的动力学性质。我们研究了从初始态到平衡态的弛豫过程，其中初始态的纠缠熵小于或大于平衡态的纠缠熵，以及在平衡态中发生的纠缠自发涨落的动力学。对于自旋链的时间无关的哈密顿量，从而广泛的保守能量，我们发现在平衡附近的纠缠熵的缓慢弛豫。这种缓慢的弛豫是不存在的弗洛凯自旋链与哈密尔顿是周期性的时间，因此没有本地的守恒律。因此，我们认为，慢扩散能量输运是负责的纠缠熵在哈密顿系统的缓慢弛豫。
We explore the dynamics of the entanglement entropy near equilibrium in highly entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with either less or more entanglement entropy than the equilibrium value, as well as the dynamics of the spontaneous fluctuations of the entanglement that occur in equilibrium. For the spin chain with a time-independent Hamiltonian and thus an extensive conserved energy, we find slow relaxation of the entanglement entropy near equilibration. Such slow relaxation is absent in a Floquet spin chain with a Hamiltonian that is periodic in time and thus has no local conservation law. Therefore, we argue that slow diffusive energy transport is responsible for the slow relaxation of the entanglement entropy in the Hamiltonian system.