Quantum correlation in the photoassociation of a heteronuclear molecular Bose-Einstein Condensate
Year: 2006
Type: preprint
Abstract: We study a atomic-molecular model for interspecies photoassociation. A general Hamiltonian which takes into account the s-wave scattering interactions are considered. By approximating the quantum Hamiltonian by a classical Hamiltonian, the fixed points of the system are found. The stability analysis is performed and we found that the population imbalance between the two atomic species will play an important role in the modulational instability of the system. It is found that effecient photoassociation could be achieved in wider experimental parameter region with population imbalance. The dynamics of the system is predicted with mean-field theory as well as with quantum solution. The difference between them are found and analyzed. In addition, we give a brief discussion on the role of the quantum statistical properties of the initial atomic condensate state on the dynamics of the system. The time evolution of the correlation between atoms of different species are calculated with different initial states and we found that the two species can be kept anti-correlated under appropriate conditions. We also numerically show that quantum statistical properties of the matter wave field changes due to the nonlinear interaction.
Source: arXiv (Cornell University)
Authors: Zhou Lü, Weiping Zhang, Hong Y. Ling, Han Pu
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2575435674