Issue
EPL
Volume 82, Number 5, June 2008
Article Number 50001
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/82/50001
Published online 23 May 2008
EPL, 82 (2008) 50001
DOI: 10.1209/0295-5075/82/50001

Non-Markovian effects on the geometric phase

X. L. Huang and X. X. Yi

School of Physics and Optoelectronic Technology, Dalian University of Technology - Dalian 116024, China

ghost820521@163.com
yixx@dlut.edu.cn

received 23 January 2008; accepted in final form 9 April 2008; published June 2008
published online 23 May 2008

Abstract
The geometric phases of a two-level atom interacting with non-Markovian environments are calculated and the non-Markovian effects on the geometric phases are discussed in this paper. Three kinds of methods that describe the non-Markovian process, projection superoperator technique, memory kernel master equation and post-Markovian master equation, are used in the discussions. The results show that when the dissipation rate is large, the non-Markovian effects change the geometric phase more strikingly than the small one.

PACS
03.65.Vf - Phases: geometric; dynamic or topological.
03.65.Yz - Decoherence; open systems; quantum statistical methods.
42.50.Lc - Quantum fluctuations, quantum noise, and quantum jumps .

© EPLA 2008