[1] Galitski V, Spielman I B. Spin‒orbit coupling in quantum gases[J]. Nature, 494, 49-54(2013).

[2] Zhang Y P, Mossman M E, Busch T et al. Properties of spin‒orbit-coupled Bose‒Einstein condensates[J]. Frontiers of Physics, 11, 118103(2016).

[3] Lin Y J, Jiménez-García K, Spielman I B. Spin‒orbit-coupled Bose‒Einstein condensates[J]. Nature, 471, 83-86(2011).

[4] Long T, Li Y M, Luo X X et al. Spin‒orbit coupling effect of microcavity exciton polaritons[J]. Chinese Journal of Lasers, 51, 1800002(2024).

[5] Zhai Y J, Chen Y Y, Zhang Y P. Spin‒orbit-coupling-induced modulation instability[J]. Acta Optica Sinica, 43, 2102001(2023).

[6] Lan Z H, Öhberg P. Raman-dressed spin-1 spin‒orbit-coupled quantum gas[J]. Physical Review A, 89, 023630(2014).

[7] Wang L, Liu J S, Li J et al. The research progress of topological properties in spinor Bose‒Einstein condensates[J]. Acta Physica Sinica, 69, 010303(2020).

[8] Wang C J, Gao C, Jian C M et al. Spin‒orbit coupled spinor Bose‒Einstein condensates[J]. Physical Review Letters, 105, 160403(2010).

[9] Zhang Y P, Mao L, Zhang C W. Mean-field dynamics of spin‒orbit coupled Bose‒Einstein condensates[J]. Physical Review Letters, 108, 035302(2012).

[10] Li Y, Pitaevskii L P, Stringari S. Quantum tricriticality and phase transitions in spin‒orbit coupled Bose‒Einstein condensates[J]. Physical Review Letters, 108, 225301(2012).

[11] Chen Y Y, Lyu H, Xu Y et al. Elementary excitations in a spin‒orbit-coupled spin-1 Bose‒Einstein condensate[J]. New Journal of Physics, 24, 073041(2022).

[12] Ji S C, Zhang L, Xu X T et al. Softening of roton and phonon modes in a Bose‒Einstein condensate with spin‒orbit coupling[J]. Physical Review Letters, 114, 105301(2015).

[13] Khamehchi M A, Zhang Y P, Hamner C et al. Measurement of collective excitations in a spin‒orbit-coupled Bose‒Einstein condensate[J]. Physical Review A, 90, 063624(2014).

[14] Li Y, Martone G I, Pitaevskii L P et al. Superstripes and the excitation spectrum of a spin‒orbit-coupled Bose‒Einstein condensate[J]. Physical Review Letters, 110, 235302(2013).

[15] Wang H, He X Y, Li S et al. Quench dynamics of a spin‒orbital coupled Bose‒Einstein condensate with nonlinear interactions[J]. Acta Physica Sinica, 72, 100309(2023).

[16] Zheng W, Yu Z Q, Cui X L et al. Properties of Bose gases with the Raman-induced spin‒orbit coupling[J]. Journal of Physics B, 46, 134007(2013).

[17] Martone G I, Li Y, Stringari S. Approach for making visible and stable stripes in a spin‒orbit-coupled Bose‒Einstein superfluid[J]. Physical Review A, 90, 041604(2014).

[18] Bersano T M, Hou J P, Mossman S et al. Experimental realization of a long-lived striped Bose‒Einstein condensate induced by momentum-space hopping[J]. Physical Review A, 99, 051602(2019).

[19] Li J R, Lee J, Huang W J et al. A stripe phase with supersolid properties in spin‒orbit-coupled Bose‒Einstein condensates[J]. Nature, 543, 91-94(2017).

[20] Yu Z Q. Phase transitions and elementary excitations in spin-1 Bose gases with Raman-induced spin‒orbit coupling[J]. Physical Review A, 93, 033648(2016).

[21] Campbell D L, Price R M, Putra A et al. Magnetic phases of spin-1 spin‒orbit-coupled Bose gases[J]. Nature Communications, 7, 10897(2016).

[22] Chen Y, Zhou Y, Ma X D. Landau damping of collective excitation in homogeneous Bose‒Einstein condensate[J]. Acta Optica Sinica, 42, 1627001(2022).

[23] Tasheng R, Wei W, Zhou Y et al. Damping of collective excitations in two-component Bose‒Einstein condensates using mean-field description[J]. Acta Optica Sinica, 43, 1027002(2023).

[24] Bukov M, D’Alessio L, Polkovnikov A. Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to floquet engineering[J]. Advances in Physics, 64, 139-226(2015).

[25] Goldman N, Dalibard J. Periodically driven quantum systems: effective hamiltonians and engineered gauge fields[J]. Physical Review X, 4, 031027(2014).

[26] Jiao C, Jian Y, Zhang A X et al. Excitation spectrum of tunable spin‒orbit coupled Bose‒Einstein condensates and its effective regulation[J]. Acta Physica Sinica, 72, 060302(2023).

[27] Ma Y E, Qiao X, Gao R et al. Tunneling dynamics of tunable spin‒orbit coupled Bose‒Einstein condensates[J]. Acta Physica Sinica, 71, 210302(2022).

[28] Zhang Y P, Chen G, Zhang C W. Tunable spin‒orbit coupling and quantum phase transition in a trapped Bose‒Einstein condensate[J]. Scientific Reports, 3, 1937(2013).

[29] Jiménez-García K, LeBlanc L J, Williams R A et al. Tunable spin‒orbit coupling via strong driving in ultracold-atom systems[J]. Physical Review Letters, 114, 125301(2015).

[30] Liang J C, Zhang Y C, Jiao C et al. Ground-state phase and superfluidity of tunable spin‒orbit-coupled Bose‒Einstein condensates[J]. Physical Review E, 103, 022204(2021).

[31] Huang L H, Peng P, Li D H et al. Observation of Floquet bands in driven spin‒orbit-coupled Fermi gases[J]. Physical Review A, 98, 013615(2018).

[32] Zhang J Y, Yi C R, Zhang L et al. Tuning anomalous Floquet topological bands with ultracold atoms[J]. Physical Review Letters, 130, 043201(2023).

[33] Zhang Y N, Chen Y Y, Lyu H et al. Quantum phases in spin‒orbit-coupled Floquet spinor Bose gases[J]. Physical Review Research, 5, 023160(2023).

[34] Fujimoto K, Uchino S. Floquet spinor Bose gases[J]. Physical Review Research, 1, 033132(2019).

[35] Hou A R, Lyu H, Chen Y Y et al. Elementary excitations in a spin‒orbit-coupled Floquet spinor Bose‒Einstein condensate[J]. Results in Physics, 62, 107809(2024).

[36] Martone G I, Pepe F V, Facchi P et al. Tricriticalities and quantum phases in spin‒orbit-coupled spin-1 Bose gases[J]. Physical Review Letters, 117, 125301(2016).

[37] Ho T L. Spinor Bose condensates in optical traps[J]. Physical Review Letters, 81, 742-745(1998).

[38] Qi R, Yu X L, Li Z B et al. Non-Abelian Josephson effect between two F=2 spinor Bose‒Einstein condensates in double optical traps[J]. Physical Review Letters, 102, 185301(2009).