Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state.
Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state.
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DOI：
10.1103/physrevlett.109.247205
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发表时间：
2012-06
影响因子：
8.6
通讯作者：
Simone Ziraldo;Alessandro Silva;G. Santoro
中科院分区：
文献类型：
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作者：
Simone Ziraldo;Alessandro Silva;G. Santoro
研究了哈密顿量突然猝灭后无序自旋链的幺正弛豫动力学。我们给出了解析性的论证，并通过具体的数值例子加以证实，证明了稳态的存在主要取决于最终哈密顿量的谱和局域性，而不是初始状态。我们在Ising或XY类的可积一维模型上测试了这些想法，但更广泛地讨论了它们对更复杂（不可积）模型的有效性。
We study the unitary relaxation dynamics of disordered spin chains following a sudden quench of the Hamiltonian. We give analytical arguments, corroborated by specific numerical examples, to show that the existence of a stationary state depends crucially on the spectral and localization properties of the final Hamiltonian, and not on the initial state. We test these ideas on integrable one-dimensional models of the Ising or XY class, but argue more generally on their validity for more complex (nonintegrable) models.