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Commutability between Semiclassical Limit and Adiabatic Limit | Biao Wu
; Jie Liu
; | Date: |
30 Jul 2005 | Subject: | Other | cond-mat.other quant-ph | Abstract: | We study the semiclassical limit and the adiabatic limit with a second-quantized two-mode model, which describes a many-boson interacting system. When its mean-field 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 mean-field theories, such as Gross-Pitaevskii equations for Bose-Einstein condensates, can be invalid in the adiabatic limit. | Source: | arXiv, cond-mat/0508008 | Services: | Forum | Review | PDF | Favorites |
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