Topological phases of matter represent a new phase which cannot be understood in terms of Landau’s theory of symmetry breaking and are characterized by non-local topological properties emerging from purely local (microscopic) ...

The nature of interactions of fundamental particles is governed by symmetries. These interactions are well described by an elegant and simple SU(3)c x SU(2)L x U(1)Y symmetric gauge theory that we call the Standard Model ...

The Standard Model of particle physics attempts to unify the fundamental forces in the Universe (except gravity). Over the years it has been tested in numerous experiments. While these experimental results strengthen our ...

The Standard Model of particle physics which attempts to describe all matter and all forces in the universe (except gravity),has been in agreement with most of the experiments till date. However theoretically and ...

This thesis presents the work done on electronic transport in various interacting and non-interacting systems in one and two dimensions. The systems under study are: an interacting quantum dot [1], a non-interacting quantum ...

Many quantum computation algorithms, and processes like measurement based quantum computing, require the initial state of the quantum computer to be an eigenstate of a specific unitary operator. Here we study how quantum ...

A search for dark matter particles in the events containing large missing transverse energy accompanied by b-quarks has been performed. The data collected by the Compact Muon Solenoid detector at the Large Hadron Collider ...

The Standard Model (SM) of particle physics has been remarkably successful to describe strong, weak and electromagnetic forces of nature, as it has agreed with most of the experiments till date. However, there are still ...

One of the recent fundamental developments in theoretical high energy physics is the AdS/CFT correspondence [1, 2, 3, 4] which posits a relationship between Quantum Field Theories (QFT) in a given dimension and String ...

This thesis presents work done on topological phases, Majorana modes, dynamics and transport in various system like the Kitaev models in one and two dimensions and systems with junctions of a p-wave superconductor and ...