Coherence and Instability in a Driven Bose-Einstein Condensate: A Fully Dynamical Number-Conserving Approach

Abstract

We consider a Bose-Einstein condensate driven by periodic delta-kicks. In contrast to first-order descriptions, which predict rapid, unbounded growth of the noncondensate in resonant parameter regimes, the consistent treatment of condensate depletion in our fully-time-dependent, second-order description acts to damp this growth, leading to oscillations in the (non)condensate population and the coherence of the system.

4 pages, 4 figures. Restructured text and minor changes to figures

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• Collision dynamics and entanglement generation of two initially independent and indistinguishable boson pairs in one-dimensional harmonic confinement
• Number-conserving approaches to $n$-component Bose-Einstein condensates
• Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
• Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview
• Conditions for order and chaos in the dynamics of a trapped Bose-Einstein condensate in coordinate and energy space
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• $N$-coherence vs. $t$-coherence: An alternative route to the Gross-Pitaevskii equation
• Layered Chaos in Mean-field and Quantum Many-body Dynamics
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• Emergence and destruction of macroscopic wave functions
• Quantum backreaction effect in optical solitons
• Number-conserving solution for dynamical quantum backreaction in a Bose-Einstein condensate