Bloch oscillations of Bose-Einstein condensates: Breakdown and revival

2004/10/11 by D. Witthaut, Dirk Witthaut, M. Werder +4 · 3 citations
Mathematics · Physics and Astronomy · #Bloch oscillations #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dephasing #Field (mathematics) #Integrable system #Lattice (music) #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear system #Periodic potential #Physics #Quantum mechanics #Resonance (particle physics) #Strong Light-Matter Interactions #Superlattice #cond-mat.other

paper · pdf · doi:10.1103/physreve.71.036625

published as Phys. Rev. E 71, 036625 (2005) · RevTeX4, 9 pages, 14 figures

arxiv created 2004/10/11 · openalex publication_date 2005/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the dynamics of Bose-Einstein condensates in a tilted one-dimensional periodic lattice within the mean-field (Gross-Pitaevskii) description. Unlike in the linear case the Bloch oscillations decay because of nonlinear dephasing. Pronounced revival phenomena are observed. These are analyzed in detail in terms of a simple integrable model constructed by an expansion in Wannier-Stark resonance states. We also briefly discuss the pulsed output of such systems for stronger static fields.

Citations

• Nonlinear excitations in arrays of Bose-Einstein condensates
• Wannier-Stark resonances in optical and semiconductor superlattices
• Superfluidity of Bose–Einstein condensate in an optical lattice: Landau–Zener tunnelling and dynamical instability

Cited by

• Damped Bloch oscillations of Bose–Einstein condensates in disordered potential gradients
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Resonantly enhanced tunneling and transport of ultracold atoms on tilted optical lattices