Nonlinearity effects in the kicked oscillator

Abstract

The quantum kicked oscillator is known to display a remarkable richness of dynamical behaviour, from ballistic spreading to dynamical localization. Here we investigate the effects of a Gross Pitaevskii nonlinearity on quantum motion, and provide evidence that the qualitative features depend strongly on the parameters of the system.

4 pages, 5 figures

References in corpus (3)

• Theory of Bose-Einstein condensation in trapped gases
• Quantum chaos in an ion trap: the delta-kicked harmonic oscillator
• Nonlinear Matter Wave Dynamics with a Chaotic Potential

Cited by in corpus (8)

• Transition to Instability in a Kicked Bose-Einstein Condensate
• Transition to Instability in a Periodically Kicked Bose-Einstein Condensate on a Ring
• Resonant nonlinear quantum transport for a periodically kicked Bose condensate
• Experimental Observation of Quantum Chaos in a Beam of Light
• Macroscopic Quantum Self-Trapping in Dynamical Tunnelling
• Delocalized and Resonant Quantum Transport in Nonlinear Generalizations of the Kicked Rotor Model
• Effects of a nonlinear perturbation on dynamical tunneling in cold atoms
• Quantum transport and spin dynamics on shearless tori