论文标题
部分可观测时空混沌系统的无模型预测
Relation between the Berry phase in quantum hermitian and non-hermitian systems and the Hannay phase in the equivalent classical systems
论文作者
论文摘要
多年前,贝里发现的量子绝热进化中存在的众所周知的几何阶段具有类似物,汉奈阶段,在经典领域中。我们计算出浆果阶段的示例,用于Quantumian $ pt $ pt $ pt $ -symmitian $ pt $ -symmmetric hamiltonians,并在其经典阶段中使用类似于汉尼的阶段。模拟实验室实验中的解决方案。
The well-known geometric phase present in the quantum adiabatic evolution discovered by Berry many years ago has its analogue, the Hannay phase, in the classical domain.We calculate the Berry phase with examples for quantum hermitian and non-hermitian $PT$-symmetric Hamiltonians and compare with the Hannay phase in their classical equivalents.We use the analogy to propose resonant electric circuits which reproduce the theoretical solutions in simulated laboratory experiments.