Nonlinear tunneling of BEC in an optical lattice: signatures of quantum collapse and revival

Abstract

Quantum theory of the intraband resonant tunneling of a Bose-Einstein condensate loaded in a twodimensional optical lattice is considered. It is shown that the phenomena of quantum collapse and revival can be observed in the fully quantum problem. The mean-field limit of the theory is analyzed using the WKB approximation for discrete equations, establishing in this way a direct connection between the two approaches conventionally used in very different physical contexts. More specifically we show that there exist two different regimes of tunneling and study dependence of quantum collapse and revival on the number of condensed atoms.

10 pages, 5 figures

References in corpus (2)

• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Nature of intrinsic relation between Bloch-band tunneling and modulational instability

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• A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
• Nonlinear intraband tunneling of BEC in a cubic three-dimensional lattice
• Resurgent revivals in bosonic quantum gases: a striking signature of many-body quantum interferences
• Localization-delocalization transition of dipolar bosons in a four-well potential
• State diagram and the phase transition of $p$-bosons in a square bi-partite optical lattice