1、提出了利用磁场矢量精确操控低维极化费米气体p波相互作用的理论方案[PRL 2014；PRA 2015]，发现了低维超冷原子气体中新的非弹性散射机制，解释了因斯布鲁克大学小组实验观测到两体散射共振峰的劈裂现象[PRA 2010, 2011, 2012]；
[1] Shi-Guo Peng, Shina Tan*, Kaijun Jiang*, Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector, Phys. Rev. Lett. 112, 250401 (2014)
[2] Tian-You Gao, Shi-Guo Peng*, Kaijun Jiang*, Two-body state with p-wave interaction in a one-dimensional waveguide under transversely anisotropic confinement, Phys. Rev A 91, 043622 (2015)
[3] Shi-Guo Peng, Seyyed S. Bohloul, Xia-Ji Liu, Hui Hu, Peter D. Drummond, Confinement-induced resonances in quasi-one-dimensional systems under transversely anisotropic confinement, Phys. Rev. A 82, 063633 (2010)
[4] Shi-Guo Peng, Hui Hu, Xia-Ji Liu, Peter D. Drummond, Confinement-induced resonances in anharmonic waveguides, Phys. Rev. A 84, 043619 (2011)
[5] Shi-Guo Peng, Hui Hu, Xia-Ji Liu, Kaijun Jiang*, Two-channel-model description of confinement-induced Feshbach molecules, Phys. Rev. A, 86 033601 (2012)
2、建立了自旋-轨道耦合超冷原子气体的檀触理论，揭示了该体系由少体关联刻画新的普适性关系[PRL 2018；PRA 2020, PR Research 2021]；
[1] Shi-Guo Peng, Cai-Xia Zhang, Shina Tan* and Kaijun Jiang*, Contact theory for spin-orbit-coupled fermi gases, Phys. Rev. Lett. 120, 060408 (2018)
[2] Cai-Xia Zhang, Shi-Guo Peng*, and Kaijun Jiang*, Universal relations for spin-orbit-coupled fermi gases in two and three dimensions, Phys. Rev. A 101, 043616 (2020)
[3] Cai-Xia Zhang, and Shi-Guo Peng*, Universal scattering phase shift in the presence of spin-orbit coupling, Phys. Rev. Research 3, 013054 (2021)
3、与实验结合，在国际上率先实现了自旋-轨道角动量耦合的超冷量子气体[PRL 2019]，揭示了自旋-轨道角动量耦合量子气体的相变行为[PRL, PR Research 2020; PR Research 2024]。受亚太物理学会邀请就该领域的系统性工作撰写综述性论文[AAPPS Bulletin 2022]；
[1] Dongfang Zhang, Tianyou Gao, Peng Zou, Lingran Kong, Ruizong Li, Xing Shen, Xiao-Long Chen, Shi-Guo Peng*, Mingshen Zhan, Han Pu, and Kaijun Jiang*, Ground-state phase diagram of a spin-orbital-angular-momentum coupled Bose-Einstein condensate, Phys. Rev. Lett. 122, 110402 (2019)
[2] Xiao-Long Chen, Shi-Guo Peng*, Peng Zou*, Xia-Ji Liu, and Hui Hu, Angular stripe phase in spin-orbital-angular-momentum coupled Bose condensates, Phys. Rev. Research 2, 033152 (2020)
[3] Ke-Ji Chen, Fan Wu, Shi-Guo Peng, Wei Yi*, and Lianyi He*, Generating giant vortex in a Fermi superfluid via spin-orbital-angular-momentum coupling, Phys. Rev. Lett. 125, 260407 (2020)
[4] Xiao-Long Chen, Aixi Chen, and Shi-Guo Peng*, Two atoms in a harmonic trap with spin-orbital-angular-momentum coupling, Phys. Rev. Research 6, 033200 (2024)
[5] Shi-Guo Peng*, Kaijun Jiang, Xiao-Long Chen, Ke-Ji Chen, Peng Zou and Lianyi He, Spin-orbital-angular-momentum-coupled quantum gases,(Invited Review), AAPPS Bulletin 32, 36 (2022)
4、与实验结合，实现了具有SO(2,1)对称性的球形幺正费米气体，并观测到标志性的长寿命呼吸振荡模式[PRL 2024；PRA 2025，2026]，发现了该非平衡动力学过程中能量的普适动力学行为[PRA 2023];
[1] Shi-Guo Peng*, Dynamic virial theorem at nonequilibrium and applications, Phys. Rev. A 107, 013308 (2023)
[2] Lu Wang, Xiangchuan Yan, Jing Min, Dali Sun*, Xin Xie, Shi-Guo Peng, Mingsheng Zhan, and Kaijun Jiang*, Scale invariance of a spherical unitary Fermi gas, Phys. Rev. Lett. 132, 243403 (2024)
[3] Dali Sun, Jing Min, Xiangchuan Yan, Lu Wang, Xin Xie, Xizhi Wu, J. Maki, Shizhong Zhang, Shi-Guo Peng*, Mingshen Zhan, and Kaijun Jiang*, Persistent breather and dynamical symmetry in a unitary Fermi gas, Phys. Rev. A 111, 053317 (2025)
[4] J. Min and S.-G. Peng*, Theoretical analysis of monopole-mode damping in a nearly spherical unitary Fermi gas, Phys. Rev. A 113, 013303 (2026)
