Nonlinear Phase Dynamics in a Driven Bosonic Josephson Junction

Department of Chemistry, Ben-Gurion University of the Negev, Post Office Box 653, Beer-Sheva 84105, Israel.
Physical Review Letters (Impact Factor: 7.51). 06/2010; 104(24):240402. DOI: 10.1103/PHYSREVLETT.104.240402
Source: PubMed


We study the collective dynamics of a driven two mode Bose-Hubbard model in
the Josephson interaction regime. The classical phase-space is mixed, with
chaotic and regular components, that determine the dynamical nature of the
fringe-visibility. For weak off-resonant drive, where the chaotic component is
small, the many-body dynamics corresponds to that of a Kapitza pendulum, with
the relative-phase $\varphi$ between the condensates playing the role of the
pendulum angle. Using a master equation approach we show that the modulation of
the inter-site potential barrier stabilizes the $\varphi=\pi$ 'inverted
pendulum' coherent state, and protects the fringe visibility.

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