Exact quantum phase model for mesoscopic Josephson junctions

Anglin, J. R., Drummond, P. and Smerzi, A. (2001) Exact quantum phase model for mesoscopic Josephson junctions. Physical Review A, 64 6: 1-4. doi:10.1103/PhysRevA.64.063605

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Author Anglin, J. R.
Drummond, P.
Smerzi, A.
Title Exact quantum phase model for mesoscopic Josephson junctions
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.64.063605
Open Access Status File (Publisher version)
Volume 64
Issue 6
Start page 1
End page 4
Total pages 4
Editor B. Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract Starting from the two-mode Bose-Hubbard model, we derive an exact version of the standard Mathieu equation governing the wave function of a Josephson junction. For a finite number of particles N, we find an additional cos 2 phi term in the potential. We also find that the inner product in this representation is nonlocal in phi. Our model exhibits phenomena, such as pi oscillations, which are not found in the standard phase model, but have been predicted from Gross-Pitaevskii mean-field theory.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Bose-einstein Condensate
Coherent Oscillations
Superposition
Transitions
Dynamics
States
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 21 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 14 Aug 2007, 15:47:34 EST