主要致力于冷原子和XFEL与物质相互作用领域相关的理论方法和数值程序的发展！

1. 超冷原子气体的理论研究。

   包括：低维量子气体的强关联效应，一维量子气体的精确解，偶极相互作用量子气体，分数统计的任意子气体，光晶格物理，两组分BEC，旋量BEC等。

   研究方法包括：Gross-Pitaevskii方程的数值求解，基于Bethe ansatz 精确解的理论分析和密度泛函理论，Bose-Fermi映射技术、Anyon-Fermi映射及基于映射方法的有限温计算和动力学计算，基于Jordan-Wigner变换的精确数值方法（包括基态和动力学），连续系统的数值对角化方法，DMRG、TEBD和MPS方法。近期主要关注冷原子的激发动力学、PT对称的非厄米系统的动力学、低维量子气体的隧穿动力学以及光晶格系统的相变及其动力学。

2. 超强X射线自由电子激光与物质的相互作用。

   运用新发展的第一性原理计算程序XMOLECULE，通过计算高荷电激发态，研究强X射线与原子分子的相互作用过程中的电子和分子动力学，以解释新实验，发现新现象，理解超强激光与原子分子的相互作用机制。近期，致力于提高计算程序的效率，使其达到线性标度。

   
   

List of Publications:

1.  Shuchang Hao and Yajiang Hao, “Density Distribution of Ground State of One Dimensional Bose Gas with Dipole Interaction”, Chin. Phys. B 34, 030301 (2025).

2. Jia Li and Yajiang Hao, “The dynamics of Tonks-Girardeau gas excited by a pulse drive”, J. Phys. B: At. Mol. Opt. Phys. 58, 025301 (2025).

3.  Yin Xiang-Guo, Yu Hai-Ru, Hao Ya-Jiang, Zhang Yun-Bo, “Properties of ground state and quench dynamics of one-dimensional contact repulsive single-spin flipped Fermi gases”, Acta Phys. Sin 73, 020302 (2023). (Editor’s Suggestion)

4. Yajiang Hao, “Dynamics of hard core bosons in one-dimensional harmonic potential with a periodic monochromatic drive”, Eur. Phys. J D 77, 127 (2023).

5. Yajiang Hao, “Ground state of Tonks-Girardeau gas under density-dependent gauge potential in a one dimensional harmonic potential”, Eur. Phys. J D 77, 164 (2023).

6.  Yajiang Hao, “Quench Dynamics of Anyon Tonks-Girardeau Gases”, Eur. Phys. J. D 77, 98 (2023).

7.  Yajiang Hao, Yiwang Liu and Xiangguo Yin, “Correlation in Momentum Space of Tonks-Girardeau Gas”, Int. J. Mod. Phys. B. 37, 2350247 (2023).

8. Liang Mao, Yajiang Hao and Lei Pan “Non-Hermitian skin effect in one-dimensional interacting Bose gas”, Phys. Rev. A 107, 043315 (2023).

9.  Yajiang Hao, Yaling Zhang, Yiwang Liu and Li Wang, “n-body correlation of Tonks–Girardeau gas”, Eur. Phys. J. D 76, 237 (2022).

10. X. Li, L. Inhester, S. J. Robatjazi, B. Erk, R. Boll, K. Hanasaki, K. Toyota, Y. Hao, C. Bomme, B. Rudek, L. Foucar, S.H. Southworth, C.S. Lehmann, B. Kraessig, T. Marchenko, M. Simon, K. Ueda, K.R. Ferguson, M. Bucher, T. Gorkhover, S. Carron, R. Alonso-Mori, J.E. Koglin, J. Correa, G.J. Williams, S. Boutet, L. Young, C. Bostedt, S.-K. Son, R. Santra, D. Rolles, and A. Rudenko, “Pulse energy and pulse duration effects in the ionization and fragmentation of iodomethane by ultra-intense hard x-rays”, Phys. Rev. Lett. 127, 093202 (2021).

11. Ludger Inhester, Kota Hanasaki, Koudai Toyota, Yajiang Hao, Oriol Vendrell, Sang-Kil Son, and Robin Santra, “Molecular ionization enhancement by charge rearrangement at high X-ray intensity”, EPJ Web of Conferences, 205, 06009, (2019).

12. Yajiang Hao, Ludger Inhester, Sang-Kil Son, and Robin Santra, “Theoretical evidence for the sensitivity of charge-rearrangement-enhanced x-ray ionization to molecular size”, Phys. Rev. A 100, 013402 (2019).

13. A. Rudenko, L. Inhester, K. Hanasaki, X. Li, S.J. Robatjazi, B. Erk, R. Boll, K. Toyota, Y. Hao, O. Vendrell, C. Bomme, E. Savelyev, B. Rudek, L. Foucar, S. Southworth, C.S. Lehmann, B. Kraessig, T. Marchenko, M. Simon, K. Ueda, K.R. Ferguson, M. Bucher, T. Gorkhover, S. Carron, R. Alonso-Mori, J.E. Koglin, G.J. Williams, S. Boutet, L. Young, Ch. Bostedt, S.-K. Son, R. Santra, and D. Rolles, “Femtosecond response of small polyatomic molecules to ultra-intense hard X-rays”, Nature 546, 129 (2017).

14. Yajiang Hao and Yafei Song, “One-dimensional hard-core anyon gas in a harmonic trap at finite temperature”, Eur. Phys. J. D 71, 135 (2017).

15. Yajiang Hao, “Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension”, Eur. Phys. J. D 71, 47 (2017).

16. Ludger Inhester^*, Kota Hanasaki^*, Yajiang Hao^*, Sang-Kil Son^*, and Robin Santra, “X-ray multiphoton ionization dynamics of a water molecule irradiated by an x-ray free-electron laser pulse”, Phys. Rev. A 94, 023422 (2016).

17. Yajiang Hao，Yafei Song and Xiaochen Fu, “The properties of Tonk-Girardeau Gas at Finite Temperature and Comparison with Spin-Polarized Fermions”, Int. J. Mod. Phys. B 30, 1650216 (2016).

18. Yajiang Hao, “Ground-state properties of hard-core anyons in a harmonic potential”, Phys. Rev. A 93, 063627 (2016).

19. Yajiang Hao, “The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction”, Eur. Phys. J. D 70, 120 (2016).

20. Manman Pang and Yajiang Hao^*, “Dynamics of spinor Bose-Einstein condensate subject to dissipation”, Chin. Phys. B 25, 040501 (2016).

21. Xiaochen Fu and Yajiang Hao^*, “Reduced one-body density matrix of Tonks Girardeau gas at finite temperature”, Chin. Phys. B 24, 090501 (2015).

22. Yajiang Hao, Ludger Inhester, Kota Hanasaki, Sang-Kil Son, and Robin Santra, “Efficient electronic structure calculation for molecular ionization dynamics at high x-ray intensity”，Structural Dynamics 2, 041707 (2015).

23. Hanlei Zheng, Yajiang Hao, and Qiang Gu, “Dynamics of double-well Bose–Einstein condensates subject to external Gaussian white noise”, J. Phys. B 46, 065301 (2013).

24.  Hanlei Zheng, Yajiang Hao^*, and Qiang Gu, “Dissipation effect in the double-well Bose-Einstein condensate”, Eur. Phys. J. D 66, 320 (2012).

25. Yajiang Hao and Shu Chen, “Dynamical properties of hard-core anyons in one-dimensional optical lattices”, Phys. Rev. A 86, 043631 (2012).

26. Hongmei Wang, Yajiang Hao and Yunbo Zhang, “Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture”, Phys. Rev. A 85, 053630 (2012).

27. Yajiang Hao, “Ground-state Density Profiles of One-Dimensional Bose Gases with Anisotropic Transversal Confinement”, Chin. Phys. Lett. 28, 070501 (2011).

28. Yajiang Hao and Xiangguo Yin, “Yang-Yang Thermodynamics of One-Dimensional Bose Gases with Anisotropic Transversal Confinement”, Chin. Phys. B 20, 090501 (2011).

29. Yajiang Hao, “Composite-Fermionization of the Mixture Composed of Tonks Gas and Fermi Gas”, Chin. Phys. B 20, 060307 (2011).

30. Yajiang Hao, Hongli Guo, Yunbo Zhang and Shu Chen,  “The lowest scattering state of one-dimensional Bose gas with attractive interactions”, Phys. Rev. A, 83, 053632 (2011).

31.Yajiang Hao and Qiang Gu, “Dynamics of two-component Bose-Einstein condensates coupled with environment”, Phys. Rev. A, 83, 043620 (2011).

32. Yajiang Hao, “Ground State Density Distribution of Bose-Fermi Mixture in a One-Dimensional Harmonic Trap”, Chin. Phys. Lett 28, 010302 (2011).

33. Li Wang, Yajiang Hao and Shu Chen, “Preparation of stable excited states in an optical lattice via sudden quantum quench”, Phys. Rev. A 81, 063637 (2010).

34. Shu Chen, Liming Guan, Xiangguo Yin, Yajiang Hao, and Xi-Wen Guan, “Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem”, Phys. Rev. A 81, 031609(R) (2010).

35. Yajiang Hao and Shu Chen, “Density-functional theory of two-component Bose gases in one-dimensional harmonic traps”，Phys. Rev. A, 80, 043608 (2009).

36. Yajiang Hao, Yunbo Zhang and Shu Chen, “Ground-state properties of hard-core anyons in one-dimensional optical lattices”，Phys. Rev. A, 79, 043633 (2009).

37. Yajiang Hao, Yunbo Zhang, Xi-Wen Guan and Shu Chen, “Ground-state properties of interacting two-component Bose gases in a Hard-Wall trap”， Phys. Rev. A. 79，033607 (2009).

38. Hongli Guo, Yajiang Hao and Shu Chen, “Quantum entanglement of particles on a ring with fractional statistics”，Phys. Rev. A. 80，052332 (2009).

39. Yajiang Hao and Shu Chen, “Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap”, Eur. Phys. J. D 51, 261 (2009).

40. Yajiang Hao, Yunbo Zhang and Shu Chen, “Ground-state properties of one-dimensional anyon gases”，Phys. Rev. A, 78, 023631 (2008).

41. Xiangguo Yin, Yajiang Hao, Yunbo Zhang and Shu Chen, “Ground-state properties of few-Boson system in a one-dimensional hard wall split potential”， Phys. Rev. A. 78，013604 (2008).

42. Shu Chen, Li Wang, Yajiang Hao and Yupeng Wang,“Intrinsic relation between ground state fidelity and the characterization of a quantum phase transition”，Phys. Rev. A, 77，032111 (2008).

43. Li Wang, Yajiang Hao and Shu Chen, “Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard mode”, Eur. Phys. J. D, 48, 229 (2008).

44. Yajiang Hao, Yunbo Zhang and Shu Chen, “One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap”， Phys. Rev. A. 76，063601 (2007).

45. Yajiang Hao, Yunbo Zhang, Jiuqing Liang and Shu Chen, “Phase separation in the trapped spinor gases with anisotropic spin-spin interaction”, Eur. Phys. J. D 44, 541 (2007).

46. Yajiang Hao, Yunbo Zhang, Jiuqing Liang, and Shu Chen, “Ground state properties of one-dimensional ultracold Bose gases in a hard-wall trap”, Phys. Rev. A 73， 063617 (2006).

47. Yajiang Hao, Yunbo Zhang, Jiuqing Liang, and Shu Chen, “Density distributions for one-dimensional spinor gases”, Phys. Rev. A 73，053605 (2006).

48. Yajiang Hao, Jiuqing Liang, “Entanglement dynamics in two-component Bose-Einstein condensates”, Chinese Physics, 15, 1161 (2006).

49. Yajiang Hao, Jiuqing Liang, Yunbo Zhang, “Numerical simulation on tunnel splitting of Bose-Einstein condensate in multi-well potentials”, Eur. Phys. J. D 36, 33 (2005).