驱动低维带隙系统的非绝热定态行为
Nonadiabatic stationary behaviour in a driven low-dimensional gapped system
摘要：
讨论了低维量子多体系统中序参量的动力学中的非绝热行为的出现，其中序参量的变化是线性的。虽然执行一个斜坡内的间隙相似乎是最有利的绝热性的情况下，我们表明，这样的变化最终导致秩序的破坏，无论如何缓慢的斜坡进行。我们通过研究铁磁相内横向磁场线性变化的一维量子伊辛模型的动力学，详细说明了这一点，然后提出了一个适用于其他系统的一般参数。
英文摘要：
We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change leads eventually to the disruption of the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one-dimensional quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems.
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