Collapse and revival in inter-band oscillations of a two-band Bose-Hubbard model

Abstract

We study the effect of a many-body interaction on inter-band oscillations in a two-band Bose-Hubbard model with external Stark force. Weak and strong inter-band oscillations are observed, where the latter arise from a resonant coupling of the bands. These oscillations collapse and revive due to a weak two-body interaction between the atoms. Effective models for oscillations in and out of resonance are introduced that provide predictions for the system's behaviour, particularly for the time-scales for the collapse and revival of the resonant inter-band oscillations.

10 pages, 5 figures

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• Coherent control of dressed matter waves
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Preparing and probing atomic number states with an atom interferometer
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Cited by in corpus (7)

• Interaction Driven Interband Tunneling of Bosons in the Triple Well
• Quantum diffusion and thermalization at resonant tunneling
• Effective spin model for interband transport in a Wannier-Stark lattice system
• Nonlinear Floquet dynamics of spinor condensates in an optical cavity: Cavity-amplified parametric resonance
• Stückelberg-Interferometry with ultra-cold atoms
• Exact numerical methods for a many-body Wannier Stark system
• Semiclassical description of collapses and revivals of quantum wave packets in bounded domains