When the interaction between particles in a physical system is weak, particles can be considered to act independently. In this situation, linear analysis such as band theory (coupled-mode theory) for electronic (photonic) systems is valid. However, when the interaction between particles is very strong, the quantum state of the system is no longer separable, and therefore, the system should be treated in its entirety. In our group, we explore quantum dynamics of strongly interacting photonic systems. In the context of quantum simulation, we investigate optical phenomena related to well-known effects in condensed matter physics such as quantum Hall physics and also lattice gauge theories. Moreover, we explore novel effects specific to optical systems, such as dissipative-driven phenomena.
More generally, we investigate how a many-body system can be theoretically characterized, e.g., entanglement spectrum, and efficiently prepared and probed in an experimental setting.