理论物理通讯：英文版

Evolutions of Yang Phase Under Cyclic Condition and Adiabatic Condition

Qian Qian, Shang-Wu, Gu, Zhiyu

Published Jan 1, 2005• 0 citations

Abstract

There are three non-integrable phases in literatures: Berry phase, Aharonov-Anandan phase, and Yang phase. This article discusses the evolutions of Yang phase under the cyclic condition and the adiabatic condition for the generaltime-dependent harmonic oscillator, thus reveals the intimate relations between these three non-integrable phases.

Related papers

Evolutions of Yang Phase Under Cyclic Condition and Adiabatic Condition

Qian Shang-Wu, Gu Zhi-Yu

There are three non-integrable phases in literatures: Berry phase, Aharonov–Anandan phase, and Yang phase. This article discusses the evolutions of Yang phase under the cyclic condition and the adiabatic condition for the general time-dependent harmonic oscillator, thus reveals the intimate relations between these three non-integrable phases.

Communications in Theoretical PhysicsAug 1, 20050 citations

Remark on Relations Between Different Non-integrable Phases

Gu Zhi-Yu, Qian Shang-Wu

There are three non-integrable phases in literatures: Berry phase, Aharonov–Anandan phase, and Yang phase. This article discusses the definitions and relations between these three non-integrable phases.

Communications in Theoretical PhysicsJan 1, 20051 citation

Remark on Relations Between Different Non-integrable Phases

GUZhi-Yu, QIANShang-Wu

There are three non-integrable phases in literatures: Berry phase, Aharonov-Anandan phase, and Yang phase. This article discusses the definitions and relations between these three non-integrable phases.

理论物理通讯：英文版Jan 1, 20050 citations

TIME EVOLUTION AND AHARONOV-ANANDAN PHASE FOR SYSTEM WITH DYNAMICAL SEMISIMPLE LIE ALGEBRA

许晶波, 高隽, 高孝纯

Ⅰ. INTRODUCTION Since Berry’s discovery of the geometric phase in quantum adiabatic evolution, there has been increased interest in this holonomy phenomenon referred to as Berry phase. Aharonov and Anandan removed the adiabatic condition and studied the geometric phase (AA phase) for any cyclic evolution. AA phase and Berry phase have been verified in experi

中国科学通报：英文版Jan 1, 19920 citations

Study of Mechanical Aharonov-Anandan Phase

Jing‐Bo Xu, Tiezheng Qian, Gao Xiaochun

Some examples of a new kind of the Aharonov-Anandan phase which is of mechanical origin are studied. It is the non-adiabatic generalization of the mechanical Berry phase. We first study the periodic motion and then the interference effect. Finally we discuss the relation between Aharonov-Anandan phase and Berry phase.

Chinese Physics LettersFeb 1, 19910 citations

Invariants and geometric phase for systems with non-Hermitian time-dependent Hamiltonians

Xiao-Chun Gao, Jing-Bo Xu, Tiezheng Qian

In this paper, the Lewis-Riesenfeld invariant theory is generalized for the study of systems with non-Hermitian time-dependent Hamiltonians. It is then used to study the nonadiabatic cyclic evolution and the Aharonov-Anandan phase. It is shown that the study of noncyclic evolution can be reduced to the study of cyclic evolution. The two-level dissipative system and the classical time-dependent harmonic oscillator are discussed as illustrative examples.

Physical Review AOct 1, 199246 citations