Focusing primarily on the development of theoretical methods and numerical programs related to cold atoms

and the interaction of XFEL (X-ray free-electron laser) with matter!

Theoretical research on ultracold quantum gases.

Includes strong correlation effects in low-dimensional quantum gases, exact solutions for one-dimensional quantum 

gases, dipolar-interacting quantum gases, fractional-statistics anyon gases, two-component (spinor) BECs, Optical Lattices. 

Research methods involve:

Numerical solutions of the Gross-Pitaevskii equation

Theoretical analysis based on Bethe ansatz exact solutions and density functional theory

Bose(Anyon)-Fermi mapping techniques and finite-temperature/dynamical computations using mapping methods

Exact numerical methods (for ground states and dynamics) based on Jordan-Wigner transformations

Numerical diagonalization approaches for continuous systems

DMRG (density matrix renormalization group), TEBD (time-evolving block decimation), MPS (matrix product states)

Recent focus areas:

Dynamics of PT-symmetric non-Hermitian systems, tunneling dynamics in low-dimensional quantum gases, 

and phase transitions/dynamics in optical lattice systems.

Interaction of ultra-intense X-ray free-electron lasers with matter.

Using the newly developed first-principles computational program XMOLECULE, we investigate electronic and molecular

dynamics during the interaction of intense X-rays with atoms/molecules by calculating highly charged excited states.

This aims to interpret novel experiments, discover new phenomena, and understand the interaction mechanisms of ultra

-intense lasers with atoms/molecules. Current efforts focus on improving the computational efficiency of the program to

achieve linear scaling.

Tools:

XATOM, XMOLECULE