Exact quantum phase model for mesoscopic Josephson junctions

Year: 2001

Authors: Anglin J.R., Drummond P., Smerzi A.

Autors Affiliation: MIT, Ctr Ultracold Atoms, Cambridge, MA 02138 USA; Univ Queensland, Dept Phys, St Lucia, Qld 4072, Australia; Ist Nazl Fis Mat, I-34014 Trieste, Italy; Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy.

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.

Journal/Review: PHYSICAL REVIEW A

Volume: 64 (6)      Pages from: 63605-1  to: 63605-4

KeyWords: Bose-einstein Condensate; Coherent Oscillations; Hilbert-space; Superposition; Transitions; Dynamics
DOI: 10.1103/PhysRevA.64.063605

ImpactFactor: 2.810
Citations: 8
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