Adiabatic evolution in nonlinear systems with degeneracy
Journal Article
·
· Physical Review. A
- Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026 (China)
We propose a general description of adiabatic evolution of degenerate quantum systems in both linear and nonlinear cases. We derive the effective evolution equations of the considered system. For nondegenerate cases, we obtain a generalized Berry's phase for nonlinear systems. For linear cases, the equations reduce to the Wilczek-Zee dynamics in degenerate quantum systems, where non-Abelian adiabatic connections appear. The method can be used to study the coherent atom-molecule transition in ultracold quantum gases with degeneracy and is consistent with quantized treatment.
- OSTI ID:
- 21408674
- Journal Information:
- Physical Review. A, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevA.81.043614; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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