Emergence of nonlinear behavior in the dynamics of ultracold bosons

Abstract

We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral entropy as an indicator of chaos and three different numerical approaches : Exact diagonalization, truncated Husimi method and mean-field (Gross-Pitaevskii) approximation, we put into evidence the destructive impact of quantum noise on the emergence of the nonlinear dynamics.

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
• Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
• Time evolution of one-dimensional Quantum Many Body Systems
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
• Tracking quasi-classical chaos in ultracold boson gases