Exact relaxation dynamics of a localized many-body state in the 1D Bose gas.
Exact relaxation dynamics of a localized many-body state in the 1D Bose gas.
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DOI：
10.1103/physrevlett.108.110401
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发表时间：
2011-12
影响因子：
8.6
通讯作者：
J. Sato;R. Kanamoto;Eriko Kaminishi;T. Deguchi
中科院分区：
文献类型：
--
作者：
J. Sato;R. Kanamoto;Eriko Kaminishi;T. Deguchi
通过精确方法，数值求解了具有短程排斥相互作用的一维玻色子初始局域态密度分布的时间演化。我们发现，一个局域态的密度缺口是通过叠加单空穴激发。在弱耦合区，初始密度分布与暗孤子振幅平方图重叠。我们观察到的局域态坍缩成一个平坦的轮廓，在平衡的大量粒子，如N=1000。随着耦合常数的减小，弛豫时间增加，这表明存在非对角长程有序。我们显示了一个小数目的粒子，如N=20的复发现象。
Through an exact method, we numerically solve the time evolution of the density profile for an initially localized state in the one-dimensional bosons with repulsive short-range interactions. We show that a localized state with a density notch is constructed by superposing one-hole excitations. The initial density profile overlaps the plot of the squared amplitude of a dark soliton in the weak coupling regime. We observe the localized state collapsing into a flat profile in equilibrium for a large number of particles such as N=1000. The relaxation time increases as the coupling constant decreases, which suggests the existence of off-diagonal long-range order. We show a recurrence phenomenon for a small number of particles such as N=20.