Nonlinear Optics, Quantum Optics and Spectroscopy

• Time-resolved spectroscopy and radiationless transitions
• Optical phenomena in intense fields
• Micromasers and cavity QED
• Dissipation in quantum optics and spectroscopy

Nonlinear dynamics, Chemical dynamics and Stochastic processes

• Chaos and statistical mechanics
• Quantum Brownian motion in bosonic bath and spin bath and applications to rate theory
• Entropic Transport
• Nonlinear dynamics of glycolysis and model biological systems
• Self-organization in spatially extended systems

Since the seminal work of Turing in early fifties, diffusion-driven instability leading to pattern formation has been a new discipline at the crossroads of physics, chemistry and biology. Attempts have been made to understand the role of noise, electric and magnetic fields and delay in inducing instability in reaction-diffusion systems resulting in wave propagation, formation of spirals and patterns in chemical and model biological systems, under far from equilibrium conditions. Several schemes beyond linear analysis have been explored for understanding the nature of noise induced instability leading to pattern formation, the crossover of patterns and reaction-induced instability.

Selected Notes