Nitin Gupta
Hong Kong University of Science and Technology
I'm a postdoctoral fellow at HKUST. Broadly, I study quantum chaos and phase transitions. My current research focuses on Krylov complexity, a recently proposed quantity that serves as a generic order parameter for various quantum phase transitions. In previous work with collaborators, I demonstrated the utility of Krylov complexity in sharply diagnosing dynamical PT-symmetric and topological phase transitions in paradigmatic quantum many-body models, such as the linearly coupled Bateman oscillator and the Kitaev chain.
To this end, I employ both analytical methods and, more recently, numerical techniques. I have also developed a growing interest in the topological aspects of quantum field theory in many-body systems.