Nonlinear evolution of quantum states in the adiabatic regime
Nonlinear evolution of quantum states in the adiabatic regime
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DOI：
10.1103/physrevlett.90.170404
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发表时间：
2003-05-02
影响因子：
8.6
通讯作者：
Niu, Q
中科院分区：
文献类型：
--
作者：
Liu, J;Wu, B;Niu, Q
我们研究了非线性薛定谔方程所控制的量子态的绝热演化，并提供了玻色-爱因斯坦凝聚的非线性隧穿模型的应用实例。我们的分析不仅阐明了本征态绝热演化的条件，而且还描述了非本征态的运动，这在没有叠加原理的情况下是不能从前者获得的。我们发现Aharonov-Anandan相位在非本征态的绝热演化中起着经典正则作用，并且是守恒的。
We investigate adiabatic evolution of quantum states as governed by the nonlinear Schrodinger equation and provide examples of applications with a nonlinear tunneling model for Bose-Einstein condensates. Our analysis not only spells out conditions for adiabatic evolution of eigenstates but also characterizes the motion of noneigenstates which cannot be obtained from the former in the absence of the superposition principle. We find that Aharonov-Anandan phases play the role of classical canonical actions and are conserved in the adiabatic evolution of noneigenstates.