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Arul Lakshminarayan

Department of Physics
Indian Institute of Technology Madras
Chennai 600036.


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Research & Publications

Teaching






Current Research Interests

Quantum Physics  Entanglement. Spin chains. Quantum Information.
Transport. Random Walks. Semiclassics. General Issues of quantum chaos.
Classical Chaos.  Hamiltonian chaos. Higher dimensional chaos. Pattern formation
and turbulence in complex systems and fluid.
Mathematical Physics.  Elliptic Functions. (hundreds of identities derived by us
concerning Jacobi functions are collected at this Wolfram site on functions.
These identitites will also appear in the new digital replacement of Abramowitz and Stegun's 
classic mathematical compendia to be published by NIST and will be available from 2006.)
Integrability of discrete equations.

Students

Ph. D
J. Bandyopadhyay (2004, Physical Research Lab., Ahmedabad)
N. Meenakshisundaram (IIT Madras)

M.Sc.
H. Naren        (2004)  : Quantum bakers map
K. Sreekanth  (2005)  : Geometry and Hamiltonian Dynamics
M. D. Prabha (2005)  : Quantum random walks


Publications

Most  of my papers are availabe at the physics archive
site http://arxiv.org.

This lists the search of all my papers on
the arxiv, including some which are not published.

My current top two well-cited (by my standards) papers are:

Entangling Power of Quantized Chaotic Systems
Arul Lakshminarayan
Phys. Rev. E. 64 (2001) 036207.
published PostScript version
Also available as nlin.CD/0012010

Testing Statistical Bounds on Entanglement Using Quantum Chaos
Jayendra Bandyopadhyay and Arul Lakshminarayan
Phys. Rev. Lett. 89 (2002) 060402.
published PostScript version
Also available as quant-ph/0203117


"Vanitas Vanitatum, Omnia Vanitas"
                      The Book of Ecclesiastes