Supercooled Liquids and Glasses
The mechanism by which a supercooled liquid undergoes glass transition has puzzled physicists for a very long time. The existence of a growing length-scale on approaching the glass transition has been a key feature of popular theories. According to the random first order transition (RFOT) theory, a supercooled liquid becomes an ideal glass at the Kauzmann temperature $T_K$ and a static correlation length in the liquid diverges at this temperature. My research aims at understanding this theory and propose modifications where necessary. I have used tools and ideas such as random pinning, block analysis, finite size scaling, molecular simulations. In addition to proceeding along these lines, I plan to understand other theories of the glass transition.
Spin Systems on a Lattice – Changing Lengthscales, Competing Interactions and more
Lattice systems provide a useful platform to study and understand numerous complex and interesting physical phenomena. I have been studyng such systems, rnaging from systems with Ising spins to $O(n)$ models and Potts models. I have used tools such as high temperature expansions, large $n$ limits and Monte Carlo simulations.
Quantum Bounds, Chaos and Thermalization
I am also interested in understanding bounds on various physical quantities using tools such as uncertainty relations. In addition, I am also interested in understanding phenomena such as chaos and thermalization in quantum systems.