Introduction:The general theme of our research focuses on how the complex behavior of light can arise due to different factors (non-Hermiticity, nonlineaity, quantum effects, spin-orbit coupling, interaction with matter, etc) across various spacial, temporal and energy scales.
Current research directions:
1. Non-Hermitian physics and PT-symmetry: We investigate the intriguing effects of non-Hermitian physics in optical systems operating near exceptional points with a particular focus on how these non-Hermitian singularities can be utilized to tailor the linear and nonlinear responses of optical systems.
2. Supersymmetry in Maxwell’s equations: Schrodinger equation and Maxwell’s equations share some common underlying mathematical structure. Our group has recently utilized this feature to investigate the concept of supersymmetry in quantum mechanics using optical platforms featuring passive and active photonics material systems.
3. Quantum nonlinear optics: In this thrust, we explore how phase transitions in certain classical nonlinear optical systems manifest themselves in the quantum regime.