Bloch oscillations and quench dynamics of interacting bosons in an optical lattice

Abstract

We study the dynamics of interacting superfluid bosons in a one dimensional vertical optical lattice after a sudden increase of the lattice potential depth. We show that this system can be exploited to investigate the effects of strong interactions on Bloch oscillations. We perform theoretical modelling of this system, identify experimental challenges and explore a new regime of Bloch oscillations characterized by interaction-induced matter-wave collapse and revivals which modify the Bloch oscillations dynamics. In addition, we study three dephasing mechanisms: effective three-body interactions, finite value of tunneling, and a background harmonic potential. We also find that the center of mass motion in the presence of finite tunneling goes through collapse and revivals, giving an example of quantum transport where interaction induced revivals are important. We quantify the effects of residual harmonic trapping on the momentum distribution dynamics and show the occurrence of interaction-modified temporal Talbot effect. Finally, we analyze the prospects and challenges of exploiting Bloch oscillations of cold atoms in the strongly interacting regime for precision measurement of the gravitational acceleration $g$.

12 pages, 9 figures

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Cited by in corpus (14)

• Observation and uses of position-space Bloch oscillations in an ultracold gas
• Interaction-induced quantum phase revivals and evidence for the transition to the quantum chaotic regime in 1D atomic Bloch oscillations
• Dynamic freezing and defect suppression in the tilted one-dimensional Bose-Hubbard model
• A Hubbard model for ultracold bosonic atoms interacting via zero-point-energy induced three-body interactions
• Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
• Dynamically decoupled three-body interactions with applications to interaction-based quantum metrology
• Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling
• Rashba and Weyl spin-orbit coupling in an optical lattice clock
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Flux induced re-entrant dynamics in the quantum walk of interacting bosons
• Synthetic mean-field interactions in photonic lattices
• Sudden-quench dynamics of Bardeen-Cooper-Schrieffer states in deep optical lattices
• Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice