Spin Faraday waves in periodically modulated spin-orbit-coupled Bose gases

This paper investigates the formation of Spin Faraday waves in spin -orbit -coupled Bose-Einstein condensate under the stripe phase and explores the dispersion relation under three different phases. We discover that the SFW exhibit temporal and spatial patterns, and appear with resonant waves and higher order harmonics when the interaction is modulated periodically. SFW can be excited even when the modulation frequency resonates with the trap frequency. Furthermore, we study the dispersion relation of these Faraday modes through periodic modulation, which agrees well with our theoretical results under three quantum phases. Our work indicates novel physical phenomena originating from the introduction of spin -orbit coupling and provides a possible method for studying the dispersion of Bose gases.