Emergence of nonlinear behavior in the dynamics of ultracold bosons
Benoit Vermersch (PhLAM), Jean Claude Garreau (PhLAM)
TL;DR
This paper investigates how nonlinear and chaotic behaviors emerge in ultracold boson systems with many particles, highlighting the impact of quantum noise through various numerical methods.
Contribution
It demonstrates the destructive effect of quantum noise on nonlinear dynamics in ultracold bosons using spectral entropy and multiple computational approaches.
Findings
Quantum noise suppresses nonlinear chaos.
Spectral entropy effectively indicates chaos.
Different numerical methods provide consistent insights.
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.
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