51²è¹Ý

Abstract: Krylov complexity has been proposed as a measure of complexity and chaos in quantum many-body systems and is of utility in understanding operator growth and spreading of states. In this talk, I will discuss the notion of Krylov complexity in Floquet (periodically driven) quantum systems. I will discuss how a well-known bound on chaos in thermal quantum systems may have a counterpart in Floquet systems. I will also talk about the Wigner-Weyl phase space formulation of quantum mechanics, and report on preliminary investigations on how one may define and study the dynamics of a local K-complexity in phase-space.

About the Speaker: Irfan is a PhD student in the Department of Physics. He is working with Dr. Amin Nizami on Quantum Chaos with a primary focus on Krylov Complexity. His research interests include Quantum Chaos, dynamics of Quantum Information in Quantum Many-body systems, Quantum-Classical correspondence, and Foundations of Quantum Mechanics. Before joining 51²è¹Ý, he did his Masters in Theoretical Physics from Jamia Millia Islamia, New Delhi.