My research activities span the two fields of condensed matter theory and cold atoms physics, with focuses in the following areas:

1. Strongly correlated electrons, including theory of high Tc superconductivity, especially phenomena associated with the widespread anormalous pseudogap phenomena. This include cuprate, iron-based, nickel-based, graphene-based, surface and interface superconductors. I am particularly interested in the pseudogap, strange metal behavior, pair density wave, photo radiation induced superconducting phenomena.

2. Quantum simulations based on cold atoms, including the superfluidity and pairing physics of atomic gases in a trap and in an optical lattice with various different geometries, such as square and cubic lattices, Lieb lattice, and Kagome lattice, at different filling factors and population imbalances. In particular, we are focusing on the low temperature quantum phases of the Fermi Hubbard model, in the hope to uncover the mechanism of high Tc superconductivity.  In addition to quantum simulations of existing condensed matter models that are difficult to solve, by utilizing the multiple experimentally tunable parameters of a cold atom system, we do quantum engineering by constructing exotic, presently unknown systems, in the hope to find new quantum physics.