首页|Dynamics of 2×2 matrix non-Hermitian quantum systems on Bloch sphere

Dynamics of 2×2 matrix non-Hermitian quantum systems on Bloch sphere

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By casting evolution to the Bloch sphere,the dynamics of 2 x 2 matrix non-Hermitian systems are investigated in detail.This investigation reveals that there are four kinds of dynamical modes for such systems.The different modes are classified by different kinds of fixed points,namely,the elliptic point,spiral point,critical node,and degenerate point.The Hermitian systems and the unbroken PT non-Hermitian cases belong to the category with elliptic points.The degenerate point just corresponds to the systems with exceptional point(EP).The topological properties of the fixed point are also discussed.It is interesting that the topological charge for the degenerate point is two,while the others are one.

non-Hermitian quantum systemtwo-level systemdynamics on the Bloch spherePT-symmetryfixed points

Libin Fu

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Graduate School of China Academy of Engineering Physics,Beijing 100193,China

国家自然科学基金国家自然科学基金

12088101U2330401

2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(4)
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