Optimal nonlinear passage through a quantum critical point
Optimal nonlinear passage through a quantum critical point
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DOI：
10.1103/physrevlett.101.076801
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发表时间：
2008-08-15
影响因子：
8.6
通讯作者：
Polkovnikov, Anatoli
中科院分区：
文献类型：
--
作者：
Barankov, Roman;Polkovnikov, Anatoli
我们分析了通过量子临界点的最佳绝热通道问题。我们证明，为了使缺陷数最少，调谐参数应及时以幂函数形式改变。最优功率与总通过时间的对数乘以表征相变的普遍临界指数成正比。我们通过一般的标度分析和对横场伊辛模型的显式计算来支持我们的结果。
We analyze the problem of optimal adiabatic passage through a quantum critical point. We show that to minimize the number of defects the tuning parameter should be changed as a power law in time. The optimal power is proportional to the logarithm of the total passage time multiplied by universal critical exponents characterizing the phase transition. We support our results by the general scaling analysis and by explicit calculations for the transverse-field Ising model.