Kinks and cusps in the transition dynamics of a Bloch state

Prof.Jiangmin Zhang

福建师范大学

彭勇刚 博士

2016-04-01 14:00

C1011

We discuss the transition dynamics of a Bloch state in a 1D tight binding chain, under two scenarios, namely, weak periodical driving [1] and sudden quench [2]. In the former case, the survival probability of the initial Bloch state shows kinks periodically; it is a piece-wise linear function of time. In the latter, the survival probability (Loschmidt echo in this case) shows cusps periodically; it is a piece-wise quadratic function of time. Kinks in the former case are a perturbative effect, while cusps in the latter are a non-perturbative effect. The kinks and cusps are reminiscent of the so-called dynamical phase transtion termed by Heyl et al. [3].

[1] J. M. Zhang and M. Haque, Nonsmooth and level-resolved dynamics illustrated with the tight binding model, arXiv:1404.4280.

[2] J. M. Zhang and H. T. Yang, Cusps in the quenched dynamics of a bloch state, arXiv:1601.03569.

[3] M. Heyl, A. Polkovnikov, and S. Kehrein, Dynamical quantum phase transitions in the transverse-field Ising model, Phys. Rev. Lett. 110, 135704 (2013).

张江敏，2005年武汉大学本科毕业后进入到中科院物理所硕博连读，在刘伍明与周端陆研究员的指导下从事腔量子电动力学、光学微腔与玻色-爱因斯坦凝聚体的耦合动力学的研究，期间曾在段路明小组访问一年；2011年博士毕业后先后在德国Augsburg大学和马普复杂系统所从事博士后研究；2015年11月受聘闽江学者特聘教授，进入福建师范大学工作。迄今为止，以第一或者通讯作者身份在主流期刊如Phys.Rev.Lett.、Phys.Rev.系列、European Journal of Physics、Science China上发表了14篇文章。