Berry connection in atom-molecule systems

Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.024101· OSTI ID:22068589

Fucheng, Cui; Biao, Wu ^[1]

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1. Institute of Physics, Chinese Academy of Sciences, 100190 Beijing (China)

In the mean-field theory of atom-molecule systems, where bosonic atoms combine to form molecules, there is no usual U(1) symmetry, presenting an apparent hurdle for defining the Berry phase and Berry curvature for these systems. We define a Berry connection for this system, with which the Berry phase and Berry curvature can be naturally computed. We use a three-level atom-molecule system to illustrate our results. In particular, we have computed the mean-field Berry curvature of this system analytically, and compared it to the Berry curvature computed with the second-quantized model of the same system. An excellent agreement is found, indicating the validity of our definition.

• OSTI ID: 22068589
• Journal Information: Physical Review. A, Vol. 84, Issue 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
EIGENSTATES
GAUGE INVARIANCE
MEAN-FIELD THEORY
MOLECULES
NONLINEAR PROBLEMS
PHASE SPACE
SYMMETRY
U-1 GROUPS