Nonequilibrium quantum many-body systems

Understanding nonequilibrium phases of matter is an exciting research area. Paradigmatic examples are discrete time crystals, dynamical many-body freezing, dynamical quantum phase transitions, and Floquet prethermal states. Considering the state-of-the-art quantum simulators, the general goal of this project is to develop multidisciplinary research for discovering novel nonequilibrium phases of matter without static analog. Some contributions to this research area are:

1. Fractional resonances and prethermal states in Floquet systems

2. Stable many-body resonances in open quantum systems

3. Dynamical dimerization phase in Jaynes-Cummings lattices

4. Dynamical quantum phase transitions and non-Markovian dynamics

5. Beyond mean-field bistability in driven-dissipative lattices: Bunching-antibunching transition and quantum simulation

6. Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model

7. Nucleation of superfluid-light domains in a quenched dynamics

8. Floquet stroboscopic divisibility in non-Markovian dynamics