학술논문

Coherent atom-molecule oscillations with hyperspherical coordinates
Document Type
Article
Source
Journal of Physics B: Atomic, Molecular and Optical Physics; August 2005, Vol. 38 Issue: 16 p2979-2997, 19p
Subject
Language
ISSN
09534075; 13616455
Abstract
We investigate two-component boson systems consisting of atoms and binary bound molecules of the same atoms. We assume that a coherent superposition of atomic and molecular Bose-Einstein condensates is formed in a non-stationary state leading to oscillations between the two condensates. To facilitate the formulation, we first give analogies in neutrino oscillations applicable for two states of one particle. We then extend to many non-interacting particles in an external field treated in the mean-field approximation as for collective motion of finite systems. We then go beyond the mean field and provide a framework for interacting particles and correlated wavefunctions. The atom-molecule oscillation frequency is dominated by the molecular binding energy when the atom-atom scattering length is substantially smaller than the oscillator trap length. Comparable scattering lengths can completely change the oscillation frequency. The damping time of the oscillations decreases with atom number and scattering lengths, although a large increase can occur for special combinations of the different interactions.