Homoclinic Signatures of Dynamical Localization

Abstract

It is demonstrated that the oscillations in the width of the momentum distribution of atoms moving in a phase-modulated standing light field, as a function of the modulation amplitude, are correlated with the variation of the chaotic layer width in energy of an underlying effective pendulum. The maximum effect of dynamical localization and the nearly perfect delocalization are associated with the maxima and minima, respectively, of the chaotic layer width. It is also demonstrated that kinetic energy is conserved as an almost adiabatic invariant at the minima of the chaotic layer width, and that the system is accurately described by delta-kicked rotors at the zeros of the Bessel functions J_0 and J_1. Numerical calculations of kinetic energy and Lyapunov exponents confirm all the theoretical predictions.

7 pages, 4 figures, enlarged version

References in corpus (6)

• Experimental evidence of dynamical localization and delocalization in a quasi-periodic driven system
• Dynamical Localization in the Paul Trap
• Signatures of homoclinic motion in quantum chaos
• Reversible Destruction of Dynamical Localization
• Scarring by homoclinic and heteroclinic orbits
• Classical and Quantum Chaos in Atom Optics