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中国物理学会期刊

有限维希尔伯特空间含时谐振子的时间演化及Berry相位

CSTR: 32037.14.aps.49.11

Time Evolution and Berry Phases of a Time-Dependent Oscillator in Fin ite-Dimensional Hilbert Space

CSTR: 32037.14.aps.49.11
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  • 研究了有限维希尔伯特空间含时谐振子的时间演化.通过适当的含时规范变换得到有限维含时谐振子量子态时间演化的封闭解,并给出量子态的Berry相位.最后讨论了驱动项对相干态压缩特性的影响

     

    In this paper we investigate the time evolution of a time-dependent oscillator in finite-dimensional Hilbert space. By performing appropriate time-dependent gauge transformation closed formulas for the time evolution of quantum states an d Berry phases are obtained. Finally we discuss the influence of the driving te rm in the Hamiltonian on the squeezed feature of coherent states.

     

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