Time-dependent tunneling of Bose-Einstein condensates

1999/08/12 by O. Zobay, B. M. Garraway · 8 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat

paper · pdf · doi:10.1103/physreva.61.033603

8 pages, 5 figures

arxiv created 1999/08/12 · openalex publication_date 2000/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The influence of atomic interactions on time-dependent tunneling processes of Bose-Einstein condensates is investigated. In a variety of contexts the relevant condensate dynamics can be described by a Landau-Zener equation modified by the appearance of nonlinear contributions. Based on this equation it is discussed how the interactions modify the tunneling probability. In particular, it is shown that for certain parameter values, due to a nonlinear hysteresis effect, complete adiabatic population transfer is impossible however slowly the resonance is crossed. The results also indicate that the interactions can cause significant increase as well as decrease of tunneling probabilities that should be observable in currently feasible experiments.

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• Nonlinear Adiabatic Passage from Fermion Atoms to Boson Molecules
• Landau-Zener transition in quadratic nonlinear two-state systems
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Asymmetric Landau-Zener Tunneling in a Periodic Potential
• Landau-Zener-Stueckelberg effect in a model of interacting tunneling systems
• Topology hidden behind the breakdown of adiabaticity
• Nonlinear tunneling in two-dimensional lattices