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

115D

Research Interests: 

Broadly, my interests lie in studying the collective behavior of a statistically large number of particles in a setting where their quantum nature dominates the physics. Over the past few decades, it has been discovered that topology plays a fundamental and elegant role in determining several properties of quantum many-body wavefunctions. A key area of my work involves exploring topological phases and the transitions that may occur between them, with a particular emphasis on those directly relevant to experimental settings.

Additionally, I am interested in studying metals or gapless phases of matter in two-dimensions, especially those that go beyond conventional models like the free Fermi gas.

I currently have openings for PhD positions and research projects. Interested students are welcome to contact me.

CV and Publications

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: