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Abstract
We apply a manybody WentzelKramersBrillouin (WKB) approach to determine the leading quantum corrections to the semiclassical dynamics of the Josephson model, describing interacting bosons able to tunnel between two localized states. The semiclassical dynamics is known to divide between regular oscillations and selftrapped oscillations where the sign of the imbalance remains fixed. In both cases, the WKB wave functions are matched to Airy functions, yielding a modified BohrSommerfeld quantization condition. At the critical energy dividing normal and selftrapped oscillations, the WKB wave functions should instead be matched to parabolic cylinder functions, leading to a quantization formula that is not just the BohrSommerfeld formula, and recovering the known logarithmic quantum break times at this energy. This work thus provides another illustration of the usefulness of the WKB approach in certain manybody problems.
Original language  English 

Article number  063628 
Number of pages  8 
Journal  Physical Review. A, Atomic, molecular, and optical physics 
Volume  81 
Issue number  6 
DOIs  
Publication status  Published  23 Jun 2010 
Keywords
 BOSEEINSTEIN CONDENSATE
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Dive into the research topics of 'WentzelKramersBrillouin approach and quantum corrections to classical dynamics in the Josephson problem'. Together they form a unique fingerprint.Projects
 1 Finished

Macroscopic quantum coherence: Macroscopic quantum coherence in nonequilibrium and driven quantum systems
1/09/10 → 31/03/14
Project: Fellowship