Commutability between the Semiclassical and Adiabatic Limits
Abstract
We study the adiabatic limit and the semiclassical limit with a secondquantized twomode model of a manyboson interacting system. When its meanfield interaction is small, these two limits are commutable. However, when the interaction is strong and over a critical value, the two limits become incommutable. This change of commutability is associated with a topological change in the structure of the energy bands. These results reveal that nonlinear meanfield theories, such as GrossPitaevskii equations for BoseEinstein condensates, can be invalid in the adiabatic limit.
 Authors:
 Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100080 (China)
 Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088 (China)
 Publication Date:
 OSTI Identifier:
 20775029
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevLett.96.020405; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSEEINSTEIN CONDENSATION; BOSONS; EQUATIONS; MEANFIELD THEORY; NONLINEAR PROBLEMS; SEMICLASSICAL APPROXIMATION; TOPOLOGY
Citation Formats
Wu Biao, and Liu Jie. Commutability between the Semiclassical and Adiabatic Limits. United States: N. p., 2006.
Web. doi:10.1103/PhysRevLett.96.020405.
Wu Biao, & Liu Jie. Commutability between the Semiclassical and Adiabatic Limits. United States. doi:10.1103/PhysRevLett.96.020405.
Wu Biao, and Liu Jie. Fri .
"Commutability between the Semiclassical and Adiabatic Limits". United States.
doi:10.1103/PhysRevLett.96.020405.
@article{osti_20775029,
title = {Commutability between the Semiclassical and Adiabatic Limits},
author = {Wu Biao and Liu Jie},
abstractNote = {We study the adiabatic limit and the semiclassical limit with a secondquantized twomode model of a manyboson interacting system. When its meanfield interaction is small, these two limits are commutable. However, when the interaction is strong and over a critical value, the two limits become incommutable. This change of commutability is associated with a topological change in the structure of the energy bands. These results reveal that nonlinear meanfield theories, such as GrossPitaevskii equations for BoseEinstein condensates, can be invalid in the adiabatic limit.},
doi = {10.1103/PhysRevLett.96.020405},
journal = {Physical Review Letters},
number = 2,
volume = 96,
place = {United States},
year = {Fri Jan 20 00:00:00 EST 2006},
month = {Fri Jan 20 00:00:00 EST 2006}
}
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