Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model

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.

7 pages, 6 figures, significant changes made

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Repulsively bound atom pairs in an optical lattice
• Quantum liquid of repulsively bound pairs of particles in a lattice

Cited by in corpus (13)

• Two-particle states in the Hubbard model
• Coherent shift of localized bound pair in Bose Hubbard model
• Quantum walks in commensurate off-diagonal Aubry-André-Harper model
• Dynamics and symmetries of a repulsively bound atom pair in an infinite optical lattice
• Few-boson tunneling in a double well with spatially modulated interaction
• Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
• Preparation of stable excited states in an optical lattice via sudden quantum quench
• Perfect coherent shift of bound pairs in strongly correlated systems
• Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model
• Formations of generalized Wannier-Stark ladders: Theorem and applications
• Topological quantum slinky motion in resonant extended Bose-Hubbard model
• The dynamics of a polariton dimer in a disordered coupled array of cavities
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions