Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
arXiv:cond-mat/0701502 · doi:10.1140/epjd/e2008-00077-3
Abstract
We investigate the quantum dynamics of repulsively bound atom pairs in an optical lattice described by the periodic Bose-Hubbard model both analytically and numerically. In the strongly repulsive limit, we analytically study the dynamical problem by the perturbation method with the hopping terms treated as a perturbation. For a finite-size system, we numerically solve the dynamic problem in the whole regime of interaction by the exact diagonalization method. Our results show that the initially prepared atom pairs are dynamically stable and the dissociation of atom pairs is greatly suppressed when the strength of the on-site interaction is much greater than the tunneling amplitude, i.e., the strongly repulsive interaction induces a self-localization phenomenon of the atom pairs.
arXiv comment7 pages, 6 figures, significant changes made
References in corpus (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- The cold atom Hubbard toolbox
- Repulsively bound atom pairs in an optical lattice
- Quantum phases in an optical lattice
- Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
- Quantum liquid of repulsively bound pairs of particles in a lattice
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
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