Non-Markovian effects on the geometric phase

2008/05/23 by X. L. Huang, X. X. Yi · 17 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dissipation #Geometric phase #Geometric probability #Geometric shape #Geometric transformation #Kernel (algebra) #Master equation #Phase (matter) #Projection (relational algebra) #Quantum Information and Cryptography #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/0295-5075/82/50001

published in Europhysics Letters (EPL) 82(5), 50001 (Institute of Physics) · 7 pages

openalex publication_date 2008/05/23 · arxiv created 2008/11/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Completely positive post-Markovian master equation via a measurement approach
• Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Quantal phase factors accompanying adiabatic changes

Cited by

• Correction to the geometric phase by structured environments: The onset of non-Markovian effects