Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes

TL;DR

This paper investigates a two-mode Bose-Einstein condensate under high-frequency driving, revealing new spectral structures, topological features, and phenomena like symmetry-breaking trapping, with potential applications in controlling quantum tunneling.

Contribution

It introduces an effective Hamiltonian approach to uncover novel spectral and topological features in driven two-mode BECs, including degenerate states and symmetry-breaking phenomena.

Findings

Emergence of additional degenerate eigenstates

New topological structures in the spectrum

Observation of deterministic symmetry-breaking trapping

Abstract

A two-mode Bose-Einstein condensate coupled by a high-frequency modulation field is found to display rich features. An effective stationary Hamiltonian approach reveals the emergence of additional degenerate eigenstates as well as new topological structures of the spectrum. Possible applications, such as the suppression of nonlinear Landau-Zener tunneling, are discussed. An interesting phenomenon, which we call "deterministic symmetry-breaking trapping" associated with separatrix crossing, is also found in an adiabatic process.