Quench from Mott Insulator to Superfluid
Quench from Mott Insulator to Superfluid
复制标题
从莫特绝缘体到超流体的淬火
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
W. Zurek
中科院分区：
文献类型：
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作者：
J. Dziarmaga;M. Tylutki;W. Zurek
我们研究了玻色-哈伯德模型中最近邻隧穿率的线性斜坡，驱动系统从莫特绝缘体状态进入超流相。我们采用截断维格纳近似来模拟线性猝灭的均匀系统在1…在三维空间中，在三维空间中的谐波陷阱中。在所有这些设置中，激发能量衰减为猝灭时间的三分之一根。-1/3标度由脉冲绝热近似解释-Kibble-Zurek机制的变体-描述当系统开始跟上增加的隧穿速率时从非绝热到绝热演化的交叉。
We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of a uniform system in 1...3 dimensions, and in a harmonic trap in 3 dimensions. In all these setups the excitation energy decays like one over third root of the quench time. The -1/3 scaling is explained by an impulse-adiabatic approximation - a variant of the Kibble-Zurek mechanism - describing a crossover from non-adiabatic to adiabatic evolution when the system begins to keep pace with the increasing tunneling rate.