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Research & Publications
Teaching
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Research
Interests
Quantum Physics:
Entanglement. Spin models. Quantum Information.
Transport. Random Walks. Semiclassics. General issues of
quantum chaos.
Quantum phase transitions. Random matrix theory. Extreme
value statistics,
large deviation theory.
Classical Physics:
Hamiltonian chaos. Higher dimensional chaos. Pattern
formation
and turbulence in complex systems and fluid. Integrability
of discrete equations.
Others:
Hundreds of identities
derived
by us
concerning Jacobi Elliptic functions
are collected at this Wolfram site on functions. These identitites also
appears in the
new digital
replacement of Abramowitz and Stegun's classic mathematical
compendia
developed by NIST.
Publications
Most of my papers are available at
the freely accessible physics archive
site and are fully
downloadable from here.
Ph. D. Students
J. Bandyopadhyay (2004, Physical Research Lab.,
Ahmedabad)
Currently
at BITS Pilani
Thesis: Studies in Quantum Chaos :
Entanglement, Decoherence and all that
N. Meenakshisundaram (2009, IIT Madras)
Currently
at SAASTRA University
Thesis: Studies in Quantum Chaos:
From almost exactly solvable models to hypersensitive
operators
Shashikant Srivastava
(2013, HBNI. Co-guide with Dr. Sudhir Jain, BARC Mumbai)
(Currently at VECC Kolkata)
Thesis: Spectral statistics, random matrix theory,
and classification of dynamical systems
Ongoing
M. S. Ramkarthik (IIT Madras)
Udaysinh Tanajirao Bhosale (IIT Madras)
M.Sc. / B.
Tech Projects
H.
Naren
(2004)
:
Quantum
bakers
map
(Ph. D. from TIFR, Mumbai)
K. Sreekanth
(2005)
:
Geometry
and
Hamiltonian Dynamics (Ph. D. from PRL, Ahmedabad)
M.
D. Prabha
(2005) : Quantum random walks (Ph. D. from Caltech)
K.
Maity (2006)
:
Quantum chaos in the Shor algorthm
Auditya
Sharma (2006) : Entanglement
in spin chains (Postdoc @ IIP Natal, Brazil; Ph. D
from Santa Cruz)
J.
Karthik (2006)
:
Entanglement
in spin chains (Ph. D. from, UIUC,
Material Science)
Ranjini
V
(2009) : Physics and
Number Theory (Georgia Tech., Math.)
P. Ravi Kumar (2009) :
Quantum random walks and the quantum standard map (Georgia
Tech. Physics)
S. Chakrabarti
(2010) : Integrable Maps
Vikram
V
(2010) :
Entanglement transitions in random states (Uni.
Calif. Davis, Physics)
K. J.
Arun
(2011)
:
Entanglement
and
the quantum spin glass (CMU, Physics)
A. J. Nachikethas (2011) : Quantum discord
in random states (USC, Los Angeles, Electrical Engg.)
Animesh Sinha (2011) : The
Riemann zeta function
K. V.
Shuddhodan (2012) : Local
unitary invariants in quantum systems (TIFR School
of Mathematics)
Lavisha Jindal
(2013): Extreme value statistics in dynamical systems
(Simon Frasier Univ.)
Debika Chowdhury (2013): Optimal entanglement in
three-qubit states (IIT Madras)
The places in the brackets indicate current affiliation
afaik. Links are to resultant publication if any. Those
without such links have also done great work,
unfortunately not shared with the world.
I am very mildly, if at all, guilty of increasing knowledge,
and as we know
"He who increaseth knowledge, increaseth sorrow"
"Vanitas Vanitatum, Omnia Vanitas" etc.
The Book
of Ecclesiastes
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