Faraday patterns in spin-orbit-coupled Bose-Einstein condensates

We study the Faraday patterns generated by spin-orbit-coupling induced parametric resonance in a spinor Bose-Einstein condensate with repulsive interaction. The collective elementary excitations of condensate, including density waves and spin waves, are coupled as result Raman-induced spin-orbit coupling quench relative phase two Raman lasers without modulation any system's parameters. observed several higher tongues at integer multiples driving frequency investigated interplay between instabilities when we spin-orbit-coupled from zero-momentum to plane-wave phase. If detuning is equal zero, wave number combination barely changes strength increases. not zero after quench, single tongue will split into parts.