Emergence of nonlinear behavior in the dynamics of ultracold bosons
arXiv:1501.07042 · doi:10.1103/PhysRevA.91.043603
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 (18)
- Many-Body Physics with Ultracold Gases
- Theory of Bose-Einstein condensation in trapped gases
- Cold bosonic atoms in optical lattices
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Localization and Glassy Dynamics Of Many-Body Quantum Systems
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Large atom number Bose-Einstein Condensate machines
- Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
- Classical chaos with Bose-Einstein condensates in tilted optical lattices
- Time evolution of one-dimensional Quantum Many Body Systems
- Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
- Irregular Dynamics in a One-Dimensional Bose System
- Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability
- Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description
- Bose-Einstein condensates on tilted lattices: coherent, chaotic and subdiffusive dynamics
- Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
- Tracking quasi-classical chaos in ultracold boson gases
Cited by in corpus (5)
- Management of the Correlations of Ultracold Bosons in Triple Wells
- Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
- Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
- Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice
- Probabilistic Hysteresis from a Quantum Phase Space Perspective