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I am a quantum condensed matter theorist in the Department of Physics at IIT Bombay. My research focuses on studying quantum phenomena on macroscopic scales. A central theme of my work is understanding the role of topology in quantum matter, with a particular focus on topological phases and the transitions between them.
In a closely related area, I also study unconventional quantum metals in 2+1 dimensions, which still remain poorly understood despite extensive research. By employing both numerical simulations and analytical techniques, my goal is to advance our understanding of these complex and challenging systems.
I joined IIT Bombay recently as an Assistant Professor. Before coming here, I was a doctoral student at Stanford University, a postdoc at Princeton University and University of Chicago. See my CV for more details.
For specific research topics, you are invited to visit my website. I currently have openings for motivated students who would like to work on fundamental problems in condensed matter theory. Please feel free to contact me.
Research Topics:
- Topological Phases and Phase Transitions
- Quantum Hall Physics
- Strongly Correlated and Disordered Systems
- Numerical Methods:
- Density-Matrix Rernormalization Group
- Exact Diagonalization
- Hartree-Fock
- Analytical Techniques:
- Quantum Field Theory
- Dualities in 2D
- A numerical study of bounds in the correlations of fractional quantum Hall states
Prashant Kumar, F. D. M. Haldane
SciPost Phys. 16, 117 (2024), arXiv:2304.14991 - Scaling of entanglement entropy at quantum critical points in random spin chains
Prashant Kumar, R. N. Bhatt
Phys. Rev. B 108, L241113 (2023), arXiv:2307.00062 - Neutral Excitations of Quantum Hall States: a Density Matrix Renormalization Group Study
Prashant Kumar, F. D. M. Haldane
Phys. Rev. B 106, 075116 (2022), arXiv:2112.02113 - Numerical Study of a Dual Representation of the Integer Quantum Hall Transition
Kevin S. Huang, S. Raghu, and Prashant Kumar
Phys. Rev. Lett. 126, 056802 (2021), arXiv:2009.07871 - Interaction effects on quantum Hall transitions: dynamical scaling laws and superuniversality
Prashant Kumar, P. A. Nosov, S. Raghu
Phys. Rev. Research 4, 033146 (2022), arXiv:2006.11862