SEMINAR 2025
Non-Hermitian random matrix ensembles, singular values and open quantum systems
| Speaker | A/Prof Manas Kulkarni, International Center for Theoretical Sciences, Tata Institute of Fundamental Research (ICTS-TIFR), Bangalore, India |
| Date/Time | Tuesday, 4 Nov, 3pm |
| Location | S11-02-07 Conference Room |
| Host | Asst/Prof Ho Wen Wei |
Abstract
I will describe some properties of non-Hermitian random matrices and show their connections to non-Hermian Hamiltonians and open quantum systems in a large window of their parameter space. I will also discuss another regime of such systems which show properties similar to those of two-dimensional Poisson distributions. Such analysis of complex eigenvalues is expected to play an important role in understanding open systems in general. I will also discuss eigenvector correlations across the localisation transition in non-Hermitian power-law banded random matrices. I will finally discuss some results on higher-order gap ratios of the singular values of generic open quantum systems.
Biography
Associate Professor Manas Kulkarni is currently faculty at the International Center for Theoretical Sciences, Tata Institute of Fundamental Research (ICTS-TIFR) in Bangalore. His works encompass open quantum systems/non-Hermitian systems, low dimensional systems, integrable systems, and mathematical physics. Previously, he was an assistant professor of physics at City University New York, and a post-doc associate at Princeton and Toronto. He obtained his PhD in physics from Stony Brook in 2011.