Dynamics and stability of Bose-Einstein solitons in tilted optical lattices

Abstract

Bloch oscillations of Bose-Einstein condensates realize sensitive matter-wave interferometers. We investigate the dynamics and stability of bright-soliton wave packets in one-dimensional tilted optical lattices with a modulated mean-field interaction $g(t)$. By means of a time-reversal argument, we prove the stability of Bloch oscillations of breathing solitons that would be quasistatically unstable. Floquet theory shows that these breathing solitons can be more stable against certain experimental perturbations than rigid solitons or even non-interacting wave packets.

final, published version

References in corpus (8)

• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Large Momentum Beamsplitter using Bloch Oscillations
• Atom interferometers with scalable enclosed area
• Many-Body Coherent Destruction of Tunneling
• Long-living Bloch oscillations of matter waves in optical lattices
• Stable Bloch oscillations of cold atoms with time-dependent interaction
• Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management

Cited by in corpus (7)

• Faraday waves in binary non-miscible Bose-Einstein condensates
• Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity
• Compacton matter waves in binary Bose gases under strong nonlinear management
• Super Bloch oscillations with modulated interaction
• Localized modes in two-dimensional Schroedinger lattices with a pair of nonlinear sites
• Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing
• Modulation stabilization of Bloch oscillations of two-component Bose-Einstein condensates in optical lattices