Manifestation of Hamiltonian chaos in an open quantum system with ballistic atoms in an optical lattice

TL;DR

This paper demonstrates how Hamiltonian chaos influences the behavior of atoms in an optical lattice, revealing abrupt changes in diffusion characteristics linked to chaotic dynamics, through analytical and simulation methods.

Contribution

It provides the first analytical and numerical evidence of Hamiltonian chaos manifesting in the dynamics of atoms in an optical lattice with near-resonant matter-radiation interaction.

Findings

Diffusion behavior changes abruptly in chaotic regimes

Hamiltonian chaos affects atom dynamics in optical lattices

Analytical and Monte Carlo methods confirm chaos manifestation

Abstract

Manifestation of dynamical instability and Hamiltonian chaos in the fundamental near-resonant matter-radiation interaction has been found analitically and in a Monte Carlo simulation in the behavior of atoms moving in a rigid optical lattice. Character of diffusion of spontaneously emitting atoms changes abruptly in the range of the values of parameters and initial conditions where their Hamiltonian dynamics is shown to be chaotic