Prashant Kumar
Assistant Professor
Photograph: 
Email: 
pkumar16@iitb.ac.in
Office: 

115D

Research Interests: 

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
Selected Publications: 
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
Research Category: