TY - JOUR
T1 - Bifurcations and bistability in cavity-assisted photoassociation of Bose-Einstein-condensed molecules
AU - Jääskeläinen, Markku
AU - Jeong, Jaeyoon
AU - Search, Christopher P.
PY - 2007/12/18
Y1 - 2007/12/18
N2 - We study the photoassociation of Bose-Einstein condensed atoms into molecules using an optical cavity field. The driven cavity field introduces a dynamical degree of freedom into the photoassociation process, whose role in determining the stationary behavior has not previously been considered. The semiclassical stationary solutions for the atom and molecules as well as the intracavity field are found and their stability and scaling properties are determined in terms of experimentally controllable parameters including driving amplitude of the cavity and the nonlinear interactions between atoms and molecules. For weak cavity driving, we find a bifurcation in the atom and molecule number occurs that signals a transition from a stable steady state to nonlinear Rabi oscillations. For a strongly driven cavity, there exists bistability in the atom and molecule number.
AB - We study the photoassociation of Bose-Einstein condensed atoms into molecules using an optical cavity field. The driven cavity field introduces a dynamical degree of freedom into the photoassociation process, whose role in determining the stationary behavior has not previously been considered. The semiclassical stationary solutions for the atom and molecules as well as the intracavity field are found and their stability and scaling properties are determined in terms of experimentally controllable parameters including driving amplitude of the cavity and the nonlinear interactions between atoms and molecules. For weak cavity driving, we find a bifurcation in the atom and molecule number occurs that signals a transition from a stable steady state to nonlinear Rabi oscillations. For a strongly driven cavity, there exists bistability in the atom and molecule number.
UR - http://www.scopus.com/inward/record.url?scp=37249089439&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37249089439&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.76.063615
DO - 10.1103/PhysRevA.76.063615
M3 - Article
AN - SCOPUS:37249089439
SN - 1050-2947
VL - 76
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 063615
ER -