Time-evolution operator and geometric phase for a system with a su(1,1)<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">[semiprodsum]</mi></mrow><mrow><mi mathvariant="italic">s</mi></mrow></msub></mrow></math></span><i>h</i>(4) Hamiltonian

Jing-Bo Xu; Tie-Zheng Qian; Xiao-Chun Gao

doi:10.1103/PhysRevA.44.1485

Time-evolution operator and geometric phase for a system with a su(1,1) ${[semiprodsum]}_{s}$ h(4) Hamiltonian

Jing-Bo Xu, Tie-Zheng Qian, and Xiao-Chun Gao

Phys. Rev. A 44, 1485 – Published 1 August 1991

Abstract

In this paper, the exact solution and time-evolution operator for the system with a su(1,1) $?_{s}$ h(4) Hamiltonian are found by making use of Lewis-Riesenfeld quantum theory. The time-evolution operator is then used to derive the Aharonov-Anandan phase. Finally, the noncyclic evolution is discussed with the help of the Aharonov-Anandan phase and the Berry phase is calculated by taking the adiabatic limit.

Received 8 January 1991

DOI:https://doi.org/10.1103/PhysRevA.44.1485

Authors & Affiliations

Jing-Bo Xu and Tie-Zheng Qian

Department of Physics, Zhejiang University, Hangzhou 310027, China

Xiao-Chun Gao

Chinese Center of Advanced Science and Technology (World Laboratory), P. O. Box 8730, Beijing, China
Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing, China
Department of Physics, Zhejiang University, Hangzhou 310027, China

References (Subscription Required)

Click to Expand

Issue

Vol. 44, Iss. 3 — August 1991

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review A

covering atomic, molecular, and optical physics and quantum information