Time Evolution of Local Observables After Quenching to an Integrable Model
Time Evolution of Local Observables After Quenching to an Integrable Model
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DOI：
10.1103/physrevlett.110.257203
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发表时间：
2013-06-18
影响因子：
8.6
通讯作者：
Essler, Fabian H. L.
中科院分区：
文献类型：
--
作者：
Caux, Jean-Sebastien;Essler, Fabian H. L.
我们考虑可积模型中的量子猝灭。我们论证了局部可观测值在淬火后晚时间的行为是由它们对单个代表性哈密顿特征态的期望值给出的。这可以看作是本征态热化假设在量子可积模型中的推广。我们提出了一种用广义热力学贝特方差（GTBA）构造这种代表性状态的方法。进一步，我们引入了一个框架，用于计算局部可观测值向平稳值演化时的时间依赖性。作为一个明确的例子，我们考虑了横向场Ising链中的量子猝灭，并表明在我们的框架内可以有效地恢复先前导出的结果。
We consider quantum quenches in integrable models. We argue that the behavior of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can be viewed as a generalization of the eigenstate thermalization hypothesis to quantum integrable models. We present a method for constructing this representative state by means of a generalized thermodynamic Bethe ansatz (GTBA). Going further, we introduce a framework for calculating the time dependence of local observables as they evolve towards their stationary values. As an explicit example we consider quantum quenches in the transverse-field Ising chain and show that previously derived results are recovered efficiently within our framework.