Coherent Destruction of Tunneling of Bosons with Effective Three-Body Interactions*

Abstract

The tunneling dynamics of dilute boson gases with three-body interactions in a periodically driven double wells are investigated both theoretically and numerically. In our findings, when the system is with only repulsive two-body interactions or only three-body interactions, the tunneling will be suppressed; while in the case of the coupling between two- and three-body interactions, the tunneling can be either suppressed or enhanced. Particularly, when attractive three-body interactions are twice large as repulsive two-body interactions, CDT occurs at isolated points of driving force, which is similar to the linear case. Considering different interaction, the system can experience different transformation from coherent tunneling to coherent destruction of tunneling (CDT). The quasi-energy of the system as the function of the periodically driving force shows a triangular structure, which provides a deep insight into the tunneling dynamics of the system.

Lattice and quintic nonlinearity induced stripe phase in Bose–Einstein condensate under non-inertial and inertial motion

“…is the external trapping potential and t n ( ) is the time dependent chemical potential. We consider general timedependent two-body (U 1 ≡ U 1 (t)) and three-body (U 2 ≡ U 2 (t)) interactions, which can be tuned by using Feshbach resonance technique [48][49][50][51]. In order to have a cigar-shaped BEC, we apply a strong harmonic confinement along the transverse directions (x-y), V x y m x y , tr 1 2…”