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.

arXiv comment10 pages, 5 figures

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Cited by in corpus (14)

• Resonant tunneling of Bose-Einstein condensates in optical lattices
• Complex and real unconventional Bose-Einstein condensations in high orbital bands
• The three-site Bose-Hubbard model subject to atom losses: the boson-pair dissipation channel and failure of the mean-field approach
• Tunneling-induced damping of phase coherence revivals in deep optical lattices
• Quantum switching at a mean-field instability of a Bose-Einstein condensate in an optical lattice
• Time-dependent Semiclassics for Ultracold Bosons
• Revivals in the attractive BEC in a double-well potential and their decoherence
• 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
• Mesoscopic quantum switching of a Bose-Einstein condensate in an optical lattice governed by the parity of the number of atoms
• Intrinsic decoherence and purity in a Bose quantum fluid in a triple well potential
• State diagram and the phase transition of $p$-bosons in a square bi-partite optical lattice