Karpur Shukla
Biography: I'm a research fellow at the Centre for Mathematical Modelling in Flame University. At present, I'm working on applications of nonequilibrium fluctuation theorems to conformal field theories as well as to physical models of logically reversible computing. Additionally, I'm examining the dynamics and conservation laws of solitons in superconductors and superconducting circuits, with a view towards physical structures that could support reversible computing.
More broadly, my research interests lie at the union of finite-temperature and nonequilibrium quantum many-body and field theory, topological quantum field theory (TQFT), and quantum condensed matter theory. In particular, I'm deeply interested in the properties of QFTs at finite temperature and under nonequilibrium conditions, extensions of finite-temperature and nonequilibrium techniques in quantum many-body and field theory to TQFTs, and the ways by which finite-temperature and nonequilibrium TQFTs manifest in condensed matter systems. I'm interested in the algebraic properties of TQFTs, the analytic properties of their Green functions (including analytic properties of nonequilibrium Green functions, or NEGFs), as well as the kinds of condensed matter systems whose model Hamiltonians support such models. (These models are also extremely relevant for topological quantum computing, since these models describe the physics of the systems in which we encode qubits.)
I'm further interested in applications to condensed matter systems, in particular NEGF approaches and QFT techniques in condensed matter (especially topological insulating and topological superconducting) systems. Before my current appointment, I received my M.Sc. in physics from Carnegie Mellon University in 2016, and my B.Sc. in physics from Carnegie Mellon University in 2014. There, I worked on optoelectronic phenomena on the surfaces of topological insulators, in particular examining phenomena such as the photogalvanic effect on the surfaces of topological insulators at zero and finite temperature, and examining Berry curvature dependent properties.
Field(s) of Research: General Non-equilibrium Statistical Physics, Logically Reversible Computing, Quantum Thermodynamics and Information Processing
