​ ​Dr. Santosh Kumar

Random Matrix Theory, Supersymmetry

Raum:    MG 332  
Telefon:    + 49 (0)203 379 4735
Email

• Research interests
  
  
  • Random Matrix Theory
  • Supersymmetry
  • Quantum Chaos
  • Skew-Orthogonal Polynomials
  • Communication Theory
  • Quantum Conductance
  • Quantum Entanglement

   

• Educational background 
   

  2013-present:	Assistant Professor Department of Physics   School of Natural Sciences   Shiv Nadar University, India
  2011-2013:	Wissenschaftlicher Mitarbeiter Research group of Prof. Dr. Thomas Guhr University of Duisburg-Essen,  Duisburg, Germany
  2005-2011:	Ph.D. Physics Jawaharlal Nehru University, New Delhi, India
  2003-2005:	M.Sc. Physics School of Physical Sciences, Jawaharlal Nehru University, New Delhi, India

  
   
• Honors / Awards
  
  
  • M.Sc. Gold Medalist (2005; School of Physical Sciences, JNU, New Delhi, India)

   

• Publications
  
  

  • A. Nock, S. Kumar, H.-J. Sommers, T. Guhr
    Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results
    preprint: arXiv:1307.4739 
     

  • S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter and F. Schäfer
    Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering
    Phys. Rev. Lett. 111, 030403 (2013)
     

  • S. Kumar
    Random matrix ensembles: Wang-Landau algorithm for spectral densities
    Europhysics Letters 101, 20002 (2013) 
     

  • S. Kumar and A. Pandey
    Entanglement in random pure states: Spectral density and average von Neumann entropy
    J. Phys. A: Math. Theor. 44, 445301 (2011) 
     

  • S. Kumar and A. Pandey
    Crossover ensembles of random matrices and skew-orthogonal polynomials
    Ann. Phys. 326, 1877 (2011) 
     

  • S. Kumar and A. Pandey
    Conductance distributions in chaotic mesoscopic cavities 
    J. Phys. A: Math. Theor. 43, 285101 (2010) 
     

  • S. Kumar and A. Pandey
    Random matrix model for Nakagami-Hoyt fading
    IEEE Trans. Inf. Theor. 56, 2360 (2010) 
     

  • S. Kumar and A. Pandey
    Jacobi crossover ensembles of random matrices and statistics of transmission eigenvalues
    J. Phys. A: Math. Theor. 43, 085001 (2010) 
     

  • S. Kumar and A. Pandey
    Universal spectral correlations in orthogonal-unitary and symplectic-unitary crossover ensembles of random matrices
    Phys. Rev. E 79, 026211 (2009)