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Chinese Physics Letters

Nonadiabatic Geometric Phase in Composite Systems and Its Subsystem

李昕

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

我们指出时间依赖者计量器转变技术可能在在一个合成系统调查一个分系统的非断热的几何阶段是有效的。作为一个例子,我们考虑二单轴地联合了纺纱—有旋转驾驶的粒子之一的 1/2 粒子磁性删除。联合和领前频率的影响磁性在几何阶段上删除也详细被讨论。

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我们指出时间依赖者计量器转变技术可能在在一个合成系统调查一个分系统的非断热的几何阶段是有效的。作为一个例子,我们考虑二单轴地联合了纺纱—有旋转驾驶的粒子之一的 1/2 粒子磁性删除。联合和领前频率的影响磁性在几何阶段上删除也详细被讨论。
The effect of intersubsystem coupling on the adiabaticity of composite systems and that of its subsystems is investigated. Similar to the adiabatic evolution defined for pure states, nontransitional evolution for mixed states is introduced; conditions for the nontransitional evolution are derived and discussed. An example that describes two coupled qubits is presented to detail the general presentation. The effects due to nonadiabatic evolution on the geometric phase are also presented and discussed.
In this work, we study the geometric phases and quantum entanglement of a composite system consisting of two interacting spin-1/2 particles in the presence of an external magnetic field. The conditions for real and complex eigenvalues are derived and discussed. Based on the non-Hermitian Berry phase, we propose the geometric phase of projective quantum states, discuss their relationship, and analyze their geometric properties. We expound on how the geometric phase of projective quantum states is contingent upon the coupling strength and the nonreciprocity between two subsystems, illustrating the connection between the geometric phase of the composite system and the geometric phases of its subsystems. By studying the quantum entanglement of the subsystems, the role of the correlation between the subsystem and the nonreciprocity is discussed. The results show that the quantum entanglement is influenced and determined by the nonreciprocity of the coupling. These schemes can provide a way to manipulate the nonreciprocal correlation between the subsystems to control the non-Hermiticity, geometric phase, and entanglement of the subsystems.