Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances

Abstract

Bose-Einstein condensates subject to short pulses (`kicks') from standing waves of light represent a nonlinear analogue of the well-known chaos paradigm, the quantum kicked rotor. Previous studies of the onset of dynamical instability (ie exponential proliferation of non-condensate particles) suggested that the transition to instability might be associated with a transition to chaos. Here we conclude instead that instability is due to resonant driving of Bogoliubov modes. We investigate the excitation of Bogoliubov modes for both the quantum kicked rotor (QKR) and a variant, the double kicked rotor (QKR-2). We present an analytical model, valid in the limit of weak impulses which correctly gives the scaling properties of the resonances and yields good agreement with mean-field numerics.

8 pages

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• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Subdiffusion of nonlinear waves in quasiperiodic potentials
• Coherent ratchets in driven Bose-Einstein condensates
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• Coherence and Instability in a Driven Bose-Einstein Condensate: A Fully Dynamical Number-Conserving Approach
• Nonlinear resonances in δ-kicked Bose-Einstein Condensates
• Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
• Ehrenfest breakdown of the mean-field dynamics of Bose gases
• Tracking quasi-classical chaos in ultracold boson gases
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• Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview
• Dynamics of kicked spin-orbit-coupled Bose-Einstein condensates
• Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
• Time periodicity and dynamical stability in two-boson systems