Dynamics of spin-tensor-momentum coupled Bose-Einstein condensates

We investigate the dynamics of plane wave state in one-dimensional spin-tensor-momentum coupled Bose-Einstein condensate. By using Gaussian variational approximation, we first derive equations motion for parameters, including center-of-mass coordinate, momentum, amplitude, width, chirp, and relative phase. These parameters are together nonlinearly by coupling, Raman spin-dependent atomic interaction. minimizing energy with respect to find that ground is a biaxial nematic state, momentum decreases monotonically increase strength parity real part ground-state function opposite imaginary part. The linear stability analysis shows dynamically stable under perturbation, exhibits three different oscillation excitation modes, frequencies which related aspect ratio harmonic trap, solving system displays periodical dynamical evolution. results also confirmed direct numerical simulations Gross-Pitaevskii equations, these findings reveal unique properties given coupling.