Adiabatic geometric phase in the nonlinear coherent coupler

Adiabatic geometric phase in the nonlinear coherent coupler
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非线性相干耦合器中的绝热几何相位

DOI:
10.1140/epjd/e2011-20517-1
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发表时间:
2011-12
影响因子:
1.8
通讯作者:
Liu, J.
Liu, J.
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Zhang, L. D.;Fu, L. B.;Liu, J.

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本文将几何相位的概念引入非线性相干耦合器。考虑到距离相关相位失配的绝热变化,我们解析地计算了与耦合器超模相关的绝热几何相位。我们发现,相位依赖于输入光强度明确。特别地,在低强度极限和高强度极限中,相位等于由系统的演化环包围的庞加莱球上的面积的一半。在不同的超模合并的临界强度处,相位发散,这可以被认为是连续相变的信号。
We introduce the concept of geometric phase to the nonlinear coherent coupler. With considering the adiabatic change of the distance-dependent phase mismatch, we calculate the adiabatic geometric phase related to the supermode of the coupler analytically. We find that the phase depends on the input light intensity explicitly. In particular, in the low and high intensity limits, the phase equals half of the area on the Poincare sphere enclosed by the evolution loop of the system. At the critical intensity where different supermodes merge, the phase diverges, which can be considered as the signal of a continuous phase transition.
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