Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
arXiv:cond-mat/0603469 · doi:10.1103/PhysRevA.74.043615
Abstract
We consider the photodissociation of ground-state bosonic molecules trapped in an optical lattice potential into two-component fermionic atoms. The system is assumed to be described by a one-band resonantly-coupled Bose-Fermi Hubbard model. We show that in the strong fermion-fermion interaction limit the dissociation dynamics is governed by a spin-boson lattice Hamiltonian. In the framework of a mean-field analysis based on the Gutzwiller ansatz, we then examine the crossover of the dissociation from a regime of independent single-site dynamics to a regime of cooperative dynamics as the molecular tunneling increases. We also identify two types of self-trapping transitions, a {\it coherent} and an {\it incoherent} one, depending on the ratio of the repulsive molecule-molecule interaction strength to molecular tunneling. Finally, we show that in the limits of weak and strong intersite tunneling the mean-field solutions agree well with the results from the quantum optical Jaynes-Cummings and Tavis-Cummings models, respectively.
arXiv comment10 pages, 10 figures
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