Quantum molecular dynamics 
        
        Everything moves in real time! We want to study how molecules dynamically behave by solving time-dependent Schodinger equation.  
        But, it is hard, very very hard!  
        What do we do?  
        
        
        
        Correlated electron-nuclear dynamics
        To understand how molecules behave upon a “kick” from photons (i.e., photochemical and photophysical processes), we need to solve the time-dependent Schrodinger equation for the entire molecule consisting of coupled electrons and nuclei. We are interested in developing accurate yet practical methods to tackle this grand challenge.
        
        
        
Open quantum systems
        Dynamics of open quantum systems (how to simulate the influence of the environment on quantum systems)
        
        
        
 Strongly Coupled Quantum Systems
 
        and Renormalization Group 
        
        Most difficult problems in physics ranging from quantum chemistry to quantum phase transitions are multiscale in nature. A generic idea to tackle such systems is through renormalization group (RG).  We aim to develop novel RG methods to get a better understanding of strongly correlated electrons, bosons, and spins.
        
        
        
Nonlinear molecular spectroscopy
         
         
          We theoretically design new spectroscopy signals with novel light sources, especially quantum light sources and x-ray pulses.
        
        
          Quantum light spectroscopy
           We are living in the quantum era!  
          How to use quantum light sources to Enhance the spatial, temporal, and spectral resolution of optical signals?
          
          
          
X-ray spectroscopy
 
          Yes, this is the x-ray you see in the hospital. And yes, it can be used to probe structure. But more than that, now it can be used to do a whole variety of x-ray spectroscopy! X-ray absorption, X-ray photoemission, X-ray Raman ... 
          
          
         
 Molecular polaritons 
        
         Optical microcavities are empty boxes, just very small. 
         Yet, demonstrated by experiments, they profoundly alters the physicochemical properties of embedded molecules. 
         How did that happen?  
         
        
          Chem. Rev. 2023, 123, 9786−9879
        
          Correlated electron-nuclear dynamics 
          To understand how molecules behave upon a “kick” from photons (i.e., photochemical and photophysical processes), we need to solve the time-dependent Schrodinger equation for the entire molecule consisting of coupled electrons and nuclei. We are interested in developing accurate yet practical methods to tackle this grand challenge.
          
          
          
 Open quantum systems 
        
          Dynamics of open quantum systems (how to simulate the influence of the environment on quantum systems)