Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model.
Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model.
复制标题
从 Bose-Hubbard 模型中的超流体过渡到莫特相。
DOI：
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发表时间：
2006
影响因子：
8.6
通讯作者：
U. R. Fischer
中科院分区：
文献类型：
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作者：
R. Schützhold;M. Uhlmann;Yan Xu;U. R. Fischer
本文研究了具有含时隧穿率J（t）的玻色-哈伯德模型从超流到Mott态的量子相变的扫掠。在指数衰减J（t）比例变量e -γ t的实验相关情况下，针对大填充n的适应平均场展开产生波动的缩放解。这使我们能够分析计算的数量和相位变化（现场）和相关性（场外）的缓慢（伽马<<μ），中间，和快速（非绝热伽马>> μ）扫描，其中μ是化学势的演变。最后，我们推导出非对角长程有序的动力学衰减以及在持续环电流设置的超流部分的时间收缩。
We study the sweep through the quantum phase transition from the superfluid to the Mott state for the Bose-Hubbard model with a time-dependent tunneling rate J(t). In the experimentally relevant case of exponential decay J(t) proportional variant e -gamma t, an adapted mean-field expansion for large fillings n yields a scaling solution for the fluctuations. This enables us to analytically calculate the evolution of the number and phase variations (on-site) and correlations (off-site) for slow (gamma<<mu), intermediate, and fast (nonadiabatic gamma>>mu) sweeps, where mu is the chemical potential. Finally, we derive the dynamical decay of the off-diagonal long-range order as well as the temporal shrinkage of the superfluid fraction in a persistent ring-current setup.