Quantum Oscillations Between Weakly Coupled Bose–Einstein Condensates: Evolution in a Non-Degenerate Double Well

John D. Andersen,Srikanth Raghavan,V. M. Kenkre

International Journal of Modern Physics B（2021）SCI 4区

Rochester Inst Technol | Naval Surface Warfare Ctr | Univ New Mexico

Cited 3|Views13

Abstract

In this paper, we discuss coherent atomic oscillations between two weakly coupled Bose–Einstein condensates that are energetically different. The weak link is notionally provided by a laser barrier in a (possibly asymmetric) multi-well trap or by Raman coupling between condensates in different hyperfine levels. The resultant boson Josephson junction dynamics is described by a double-well nonlinear Gross–Pitaevskii equation. On the basis of a new set of Jacobian elliptic function solutions, we describe the period of the oscillations as well as associated quantities and predict novel observable consequences of the interplay of the energy difference and initial phase difference between the two condensate populations.

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Key words

Bose-Einstein condensates,self-trapping,quantum oscillations

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