Bose-condensate tunneling dynamics: Momentum-shortened pendulum with damping

Year: 1999

Authors: Marino I., Raghavan S., Fantoni S., Shenoy S.R., Smerzi A.

Autors Affiliation: Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy; Univ Rochester, Rochester Theory Ctr Opt Sci & Engn, Dept Phys & Astron, Rochester, NY 14627 USA; Ist Nazl Fis Mat, I-34014 Trieste, Italy; Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy.

Abstract: Bose-Einstein condensates in a double-well trap, as well He-3-B baths connected by micropores, have been shown to exhibit Josephson-like tunneling phenomena. Unlike the superconductor Josephson junction of phase difference phi that maps onto a rigid pendulum of energy cos(phi), these systems map onto a momentum-shortened pendulum of energy -root 1-p(phi)(2)cos(phi) and length root 1-p(phi)(2), where p(phi) is a population imbalance between the wells/baths. We study here the effect of damping on the four distinct modes of the nonrigid pendulum, characterized by distinct temporal mean values, [phi] and [p(phi)]. Damping is shown to produce different decay trajectories to the final equilibrium phi=0=p(phi) state that are characteristic dynamic signatures of the initial oscillation modes. In particular, damping causes pi-state oscillations with [phi]=pi to increase in amplitude and pass through phase-slip states, before equilibrating. Similar behavior has been seen in He-3-B experiments. [S1050-2947(99)03207-2].

Journal/Review: PHYSICAL REVIEW A

Volume: 60 (1)      Pages from: 487  to: 493

KeyWords: Einstein Condensation; Atoms; Gas
DOI: 10.1103/PhysRevA.60.487

Citations: 86
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