Dynamical phase transitions after quenches in nonintegrable models
Dynamical phase transitions after quenches in nonintegrable models
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DOI：
10.1103/physrevb.87.195104
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发表时间：
2013-05-03
影响因子：
3.7
通讯作者：
Schuricht, D.
中科院分区：
文献类型：
--
作者：
Karrasch, C.;Schuricht, D.
我们研究了在不同普适性类的量子临界点上突然猝灭后的动力学。具体地说，我们用矩阵积态方法研究了存在两个额外项破坏可积性的量子伊辛链。我们发现，在所有模型中，初始状态返回概率的速率函数在热力学极限下成为时间的非解析函数。这种所谓的“动态相变”是Heyl， Polkovnikov和Kehrein在最近的一项工作中首次观察到的。量子量子Ising链，可映射到自由费米子。我们的“相互作用理论”的结果表明，非解析动力学是跨越量子临界点的突然猝灭的一般特征。我们讨论了与序参数动力学的潜在联系。
We investigate the dynamics following sudden quenches across quantum critical points belonging to different universality classes. Specifically, we use matrix product state methods to study the quantum Ising chain in the presence of two additional terms which break integrability. We find that in all models the rate function for the return probability to the initial state becomes a nonanalytic function of time in the thermodynamic limit. This so-called "dynamical phase transition" was first observed in a recent work by Heyl, Polkovnikov, and Kehrein [Phys. Rev. Lett. 110, 135704 (2013)] for the exactly-solvable quantum Ising chain, which can be mapped to free fermions. Our results for "interacting theories" indicate that nonanalytic dynamics is a generic feature of sudden quenches across quantum critical points. We discuss potential connections to the dynamics of the order parameter.