Current research interests in theoretical condensed matter physics focuses on the theory of Bose-Einstein condensate (BEC), BEC-BCS crossover, vortex physics, the quantum Hall effect and the theory of high Tc superconductivity.
● Matter waves, quantum condensation phenomena and superfluidity (PACS number 03.):
Matter waves (03.75.-b), quantum condensation phenomena (03.75.Fi), Bose-Einstein condensates (03.75), quantum fluids and solid (67.), liquid and solid helium (67.), boson degeneracy and superfluidity of ^4He (67.20+k), mixed systems, liquid ^3He and ^4He mixtures (67.60.-g), etc.
● Quantum many-body theory:
Quantum many-body theory and its applications in the vortex physics, the quantum Hall effect systems, the high-T_c superconductor, the strongly corrected systems, the quantum magnetism, etc.
● Mathematical methods in Physics (PACS number 02.):
Integrable systems (02.30.Ik), partial differential equations (02.30.Jr), inverse problems (02.30.Zz) and solitons (05.45.Yv): the exact solutions, solitons, vortices, asymptotic solutions, nonlinear dynamics, nonequilibrium dynamics, long-time behavior, etc.