Coherent destruction of tunneling of two interacting bosons in a tight-binding lattice

摘要

The dynamics of two correlated bosons hopping on a one-dimensional lattice and driven by a sinusoidal forcenis analytically investigated by means of a multiple-time-scale asymptotic analysis of the driven Bose-HubbardnHamiltonian. By assuming the ratio u0002 = J/ω between the tunneling rate J and modulation frequency ω of thendriving field as a small parameter, the perturbative analysis shows that, under appropriate driving conditions,ncoherent destruction of tunneling can be simultaneously realized for both paired and unpaired states up to the longntime scale ∼1/(ωu00022) in the regime corresponding to an energy quantum ˉhω of the driving field of the same ordernof magnitude as the particle interaction energy ˉhU0. The predictions of the perturbative analysis are confirmednby direct numerical simulations of the two-particle Bose-Hubbard Hamiltonian and by direct quasienergy-bandncomputation.