Hydrodynamic long-time tails after a quantum quench
Hydrodynamic long-time tails after a quantum quench
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量子淬灭后的流体动力学长时间拖尾
DOI：
10.1103/physreva.89.053608
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发表时间：
2013
影响因子：
2.9
通讯作者：
A. Rosch
中科院分区：
文献类型：
--
作者：
J. Lux;Jan Muller;A. Mitra;A. Rosch
在量子猝灭之后，参数的突然变化，一般的多粒子量子系统被期望达到平衡。准粒子的几次碰撞通常足以建立近似的局部平衡。然而，达到全球平衡要困难得多，因为守恒量必须长距离传输，以形成平衡所特有的波动模式。在这里，我们调查的量子淬火的一维玻色子Hubbard模型从无限到有限的相互作用强度U使用半经典方法弱，和严格对角化的强淬火。只有缓慢地接近平衡，因为t^{-1/2}与次超前修正成正比于t^{-3/4}，与流体力学的预测一致。我们表明，这些长时间的尾巴决定了广泛的物理观测的放松。
After a quantum quench, a sudden change of parameters, generic many particle quantum systems are expected to equilibrate. A few collisions of quasiparticles are usually sufficient to establish approximately local equilibrium. Reaching global equilibrium is, however, much more difficult as conserved quantities have to be transported for long distances to build up a pattern of fluctuations characteristic for equilibrium. Here we investigate the quantum quench of the one-dimensional bosonic Hubbard model from infinite to finite interaction strength U using semiclassical methods for weak, and exact diagonalization for strong quenches. Equilibrium is approached only slowly, as t^{-1/2} with subleading corrections proportional to t^{-3/4}, consistent with predictions from hydrodynamics. We show that these long-time tails determine the relaxation of a wide range of physical observables.