Prof. Bhat of the Indian Statistical Institute in Bangalore is a leading expert on Quantum Dynamical Semigroups.

The theory of quantum dynamical semigroups is the non-commutative analogue of the theory of Markov random processes. In the quantum (non-commutative) setting, closed systems (having no interaction with the outside world) follow reversible dynamics and are described by groups of automorphisms. On the other hand, for open systems the dynamics is typically irreversible and are governed by semigroups of completely positive maps (also called quantum dynamical semigroups ).

The work of Bhat and Parthasarathy (95) and Bhat's dilation result (96) were major results in this theory.  Bhat also studied the product systems associated with such semigroups and (with Skeide) extended much of the theory to completely positive semigroups of general von Neumann algebras.

 

Prof. Bhat joined the Indian Statistical Institute in Bangalore in 1996 and is a full professor there since 2000. He was awarded the INSA Medal for young Scientists  in 1997 by the Indian National Science Academy. He has received the Swarnajayanthi Fellowship from the Department of Science and Technology in India and the B.M. Birla Science Prize in Mathematics. He was elected as a Fellow of the Indian Academy of Sciences in 2006 and, in 2007, was awarded the Shanti Swarup Bhatnagar Prize in Mathematical Sciences.