Quantum quenches from excited states in the Ising chain
Quantum quenches from excited states in the Ising chain
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DOI：
10.1088/1751-8113/47/17/175002
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发表时间：
2014-05-02
影响因子：
2.1
通讯作者：
Calabrese, Pasquale
中科院分区：
文献类型：
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作者：
Bucciantini, Leda;Kormos, Marton;Calabrese, Pasquale
我们考虑了横向场伊辛链中磁场突然猝灭后的非平衡动力学，从猝灭前哈密顿量的激发态出发。我们证明了局部相关函数的定态值可以用广义Gibbs系综来描述。然后我们用稳相法研究了横向磁化强度的全时演化。等时两点纵向关联函数解析推导出一个特定的类的激发态内的铁磁相的淬火，并在一般的数值研究。对于同一类状态和任意猝灭，也得到了自旋块纠缠熵的全时依赖性。
We consider the non-equilibrium dynamics after a sudden quench of the magnetic field in the transverse field Ising chain starting from excited states of the pre-quench Hamiltonian. We prove that stationary values of local correlation functions can be described by the generalized Gibbs ensemble. Then we study the full time evolution of the transverse magnetization by means of stationary phase methods. The equal-time two-point longitudinal correlation function is analytically derived for a particular class of excited states for quenches within the ferromagnetic phase, and studied numerically in general. The full time dependence of the entanglement entropy of a block of spins is also obtained analytically for the same class of states and for arbitrary quenches.