Quantum field Theory

Understanding bound states within the framework of Quantum Chromodynamics; combining lattice gauge theory formulation within the light front framework to build a model for understanding mesonic structure within QCD.

High Energy Phenomenology, Astrophysics and Cosmology

Looking for signatures of new physics (extra dimensions, space-time noncommutativity etc) in high energy colliders; dark matter and dark energy physics--- the role of dark matter in astrophysics and looking for it at high energy colliders; black hole merger, gravitational wave production and its detection.

Theoretical High Energy Physics and Mathematical Physics

Polynomially deformed Lie algebras and their representations; topological defects formations in the context of baryon formation in heavy ion collisions and the non-commutative space field theories; Currently I am working on Renormalizable Quantum Field Theories in Lifshitz type space times.

High Energy Phenomenology and Econophysics

B meson decays, CP violation, New Physics beyond the Standard model and Dark Matter. Quantum Field theory applied to problems in Econophysics - Quantum finance, stock market, quantum model, crashes of stock markets.

Nuclear Astrophysics

Neutron Stars: Equation of State, Constitution and Structure, Rotation & Dynamics, Gravitational waves. Nuclear Matter: Symmetry energy Aspects, Dense matter correlations, Nuclear iso-spin studies. Relativistic Mean-Field Theory: Matter Interactions at high densities, Quark Matter, Finite nuclei & Infinite nuclear matter.

Classical and Quantum Gravity, Cosmology

Loop Quantum Gravity, application of the Loop Quantization techniques to simple cosmological models, quantum field theory in curved spacetimes especially in the context of Black Hole spacetimes; modelling of real world systems using statistical techniques and networks.

Quantum Field Theory, String Theory and Quantum theory of gravity

Theoretical High energy Physics

Interdisciplinary area of quantum computation and theoretical high energy physics. ---quantum simulation of gauge field theories that describe the fundamental interactions of nature; Applications of quantum computers and building quantum algorithms that will help physicists to access the yet-to-be-solved problems in physics.

Spintronics

Electronic charge and spin transport studies in magnetic tunnel junctions, metal-semiconductor hetero-structures.; investigations on various newly discovered 2d materials, transition metal dichalcogenides for nanoelectronics and spintronics applications.

Dilute Magnetic Semiconductors

(a) Transition metal doped wide band gap oxide semiconductors (diluted magnetic semiconductors, DMS) and their applications (b) semiconducting thin films for photovoltaic applications. Synthesis of magnetic semiconducting nanoparticles using a simple chemical precipitation technique. The thin films are deposited by DC sputtering and thermal evaporation. The properties in both cases are investigated by various techniques like XRD,UV - Visible absorption, conductivity measurements, XPS, Raman, Photoluminescence, ESR, EXAFS, VSM, SQUID measurements etc. The possible applications of these samples are also explored.

Nano-materials

Synthesis and characterization of metal oxide and transition metal dichalcogendies (TMDC) nanostructures. Metal oxide nanorods are synthesized using template assisted electrodeposition and hydrothermal technique. These are then investigated for their transport and gas sensing properties. In the case of TMDCs, we mechanically exfoliate materials such as MoS2, MoSe2, WS2 and WSe2 onto glass, ITO and Silicon substrate and study their field effect, photovoltaic and transport properties.

Soft matter physics and programmable self-assembly

Making flexible micro-objects using colloidal particles as building blocks, and stitching them together with a host of specific, programmable interactions ranging from DNA nanotechnology to magnetic interactions to chemical interactions between patchy particles; understanding the physics of anomalous diffusion in crowded systems that mimic biological environments using colloidal particles as probes; understanding and measuring the weak biological interactions (protein-protein, peptide-peptide) that are behind several vital processes in our bodies; self-assembly of biomimetic nanomaterials for a wide range of applications such as developing superhydrophobic materials and efficient electron and X-ray emitters.
Our area of work is interdisciplinary, encompassing expertise across the fields of physics, chemistry and biology.

Statistical mechanics, Interdisciplinary Physics

One of my current interests is in computational neuroscience where I am trying to understand auditory neuron tuning curves using simple integrate and fire models. I am also studying the depinning phenomenon, particularly the depinning of the 2D partially pinned solid (formed in the presence of a square substrate) and the associated phenomenon of peak effect. I am also interested in physics pedagogy. Some of my recent works involves mechanics of a particle on a rotating table in the presence of friction and an alternative geometric proof for the Euler's rotation theorem.

Theoretical and Computational Condensed Matter Physics

Involves research in the interdisciplinary field of materials science, physics and chemistry. The goal of my research group is to design and search new materials for various applications such as energy storage, electrode for metal-ion batteries and straintronics; studying the origin of various physical phenomenon in materials; modification of materials properties; evolution of microstructures; defects, interfaces and doping of bulk and nano materials. We use first principles based density functional theory (DFT) for our research. Various well established codes are available for this purpose. Our expertise also extends to beyond DFT methodologies for band gap correction, phonon dispersion and transport properties. Code development is another research area of my interest, being one of the members to develop a new theoretical method (first principles based phase field method) to simulate evolution of microstructures in an alloy without any thermodynamic parameter. The research group is equipped with a high performance computing cluster and scientific packages for DFT calculation.

Laser spectroscopy and microscopy, nonlinear optics, quantum optics,

Developing different optical microscopic techniques suitable for biomolecular imaging. These include confocal fluorescence microscopy, multi-photon microscopy and photothermal microscopy using metallic nanoparticles as bimolecular label. Recently we developed a two-photon excitation based photothermal microscope which is capable of detecting single BaTiO3nanoparticle labels with high sensitivity. We use the confocal and multiphoton microscopes to study biomolecular transport so as to understand the mechanism of transport through nuclear membranes. We hope to use the photothermal microscope for live tracking of biomolecules in a cell nucleus.

Nuclear Physics Few body systems, Intermediate energies, pi-Nuclear Physics, Multiple Scattering Calculations, Optical potentials, Hadron Physics.
Theoretical Physics - Foundations of Quantum Mechanics, General Relativity, Quantum Field Theory, Non Equilibrium Statistical Mechanics.
Numerical E & M- Developing finite element techniques to solve Laplace-Poisson equation for tip-sample configuration found in Scanning Tunneling and Atomic Force Microscopes.
Physics Teaching :- Am interested in interacting with school & college teachers to devise ways of improving physics teaching and generating and sustaining student interest in Physics.

Nuclear Physics
Spin-dependence of nuclear reactions, which are also of experimental interest. We employ invariance (symmetry) arguments to elucidate the spin-structure of the reaction matrix elements. Our formalism, which is model-independent, not only leads to exact expressions for the spin-structure of the transition matrix elements, but also to expressions for the partial-wave amplitudes, relevant for all energies of interest. These expressions are of immense relevance for the experimentalists and also to theoretical physicists who want to validate their model-calculations. Recently, I have joined the international collaboration, "PANDA" (antiProton ANnhilations at DArmstadt). PANDA is one of the major experiments at the future FAIR (Facility for Antiproton and Ion Research) facility at GSI, Darmstadt, Germany. PANDA has a wide range of physics programmes, involving antiproton-proton and antiproton-nucleus collisions. A study of these collision processes are expected to extend our knowledge on hadron structure, quark-gluon dynamics and nuclear physics.

Foundations of Quantum Theory

Complementarity, entanglement, quantum information, geometry of quantum states, information geometry
Also involved in musical acoustics and the physics of Indian stringed instruments.

Publications

Algorithms for Quantum Computing

Interdisciplinary area of quantum computation and theoretical high energy physics. ---quantum simulation of gauge field theories that describe the fundamental interactions of nature; Applications of quantum computers and building quantum algorithms that will help physicists to access the yet-to-be-solved problems in physics.
Publications

Nonlinear Dynamical Systems

Specifically interested in exploring the dynamics of the brain, exploring the dynamics of single neurons and those of networks of neurons collective dynamics of such a network

Publications