Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
复制标题
被捕获的玻色气体中莫特绝缘区域的慢淬灭动力学
DOI：
10.1103/physreva.85.033641
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发表时间：
2011
影响因子：
2.9
通讯作者：
C. Kollath
中科院分区：
文献类型：
--
作者：
Jean;D. Poletti;P. Barmettler;G. Roux;C. Kollath
我们研究了当相互作用强度随时间线性变化时捕获玻色子气体莫特绝缘区的动力学。所考虑的玻色子气体被加载到光学晶格中，并被限制在抛物线捕获势中。本文讨论了两种情况：随着相互作用的增加，超流体气体中Mott域的形成，以及它们随着相互作用强度的降低而熔化。在第一种情况下，根据局部填充物，莫特绝缘屏障可以发展并阻碍整个系统的密度和能量传输。在第二种情况下，密度和局部能量调整迅速，而长距离相关性需要更长的时间来稳定。对于这两种情况，我们考虑了各种可观测值的时间演化：局部密度和能量，以及它们各自的电流，局部可压缩性，局部多余能量，热量和单粒子相关器。这些观测值的演化是使用时间相关的密度矩阵重整化群技术获得的，并与在Gutzwiller近似内完成的时间演化进行了比较。
We investigate the dynamics of Mott-insulating regions of a trapped bosonic gas as the interaction strength is changed linearly with time. The bosonic gas considered is loaded into an optical lattice and confined to a parabolic trapping potential. Two situations are addressed: the formation of Mott domains in a superfluid gas as the interaction is increased, and their melting as the interaction strength is lowered. In the first case, depending on the local filling, Mott-insulating barriers can develop and hinder the density and energy transport throughout the system. In the second case, the density and local energy adjust rapidly whereas long range correlations require longer time to settle. For both cases, we consider the time evolution of various observables: the local density and energy, and their respective currents, the local compressibility, the local excess energy, the heat and single particle correlators. The evolution of these observables is obtained using the time-dependent density-matrix renormalization group technique and comparisons with time-evolutions done within the Gutzwiller approximation are provided.