Effects of a nonlinear perturbation on dynamical tunneling in cold atoms

Abstract

We perform a numerical analysis of the effects of a nonlinear perturbation on the quantum dynamics of two models describing non-interacting cold atoms in a standing wave of light with a periodical modulated amplitude $A(t)$. One model is the driven pendulum, considered in ref.\cite{raiz1}, and the other is a variant of the well-known Kicked Rotator Model. In absence of the nonlinear perturbation, the system is invariant under some discrete symmetries and quantum dynamical tunnelling between symmetric classical islands is found. The presence of nonlinearity destroys tunnelling, breaking the symmetries of the system. Finally, further consequences of nonlinearity in the kicked rotator case are considered.

arXiv comment10 pages, 15 figures

References in corpus (7)

• Theory of Bose-Einstein condensation in trapped gases
• First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard
• Nonlinear Matter Wave Dynamics with a Chaotic Potential
• Chaos assisted tunnelling with cold atoms
• Signatures of chaotic tunnelling
• Floquet Analysis of Atom Optics Tunneling Experiments
• Nonlinearity effects in the kicked oscillator

Cited by in corpus (7)

• Ratchet Effect in the Quantum Kicked Rotor and its Destruction by Dynamical Localization
• Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
• Delocalized and Resonant Quantum Transport in Nonlinear Generalizations of the Kicked Rotor Model
• Macroscopic Quantum Self-Trapping in Dynamical Tunnelling
• Routes towards the experimental observation of the large fluctuations due to chaos assisted tunneling effects with cold atoms
• Chaos-assisted tunneling in the presence of Anderson localization
• Quantum dissipative dynamics of driven Duffing oscillator near attractors