In this thesis, I study various aspects of quantum many-body dynamics from the perspective of quantum information scrambling and entanglement dynamics in closed systems as well as systems interacting with the environment. ...

Feynman Integrals appear in perturbative quantum field theories and have been the focus of intensive study for over half a century. With the rise of the Standard Model of particle physics and its various extensions and the ...

Feynman integrals play a fundamental role in perturbative calculations within the realm of quantum field theory. In this thesis, we study several important mathematical properties of multi-loop multi-leg Feynman Integrals ...

Feynman integrals are special kind of integrals that arise in perturbative quantum field theory and are often very difficult to evaluate in terms of known functions of mathematical physics. At times some of the methods ...

Quantum Machine Learning is a rapidly developing field. In part 1 of this thesis, I benchmark common QML methods with the most popular datasets used in classical ML. I compare results from quantum and classical methods and ...

This thesis contains research works encompassing different areas of quantum condensed matter physics in low dimensions ranging from non-equilibrium phases of matter, quantum criticality in equilibrium systems and quantum ...

A comprehensive study of the QCD phase diagram is one of the challenging and open problems in high energy physics. Having significant astrophysical implications, this is also important in constructing the chronological ...

The finite temperature analysis of QCD is challenging since perturbation theory is not applicable in that regime. A non-perturbative method like lattice QCD is thus required to obtain an estimate of the necessary observables. ...

In the last few decades an enormous amount of research has been carried out on some novel phases of matter called topological phases which are beyond the paradigm of Landau’s theory of symmetry breaking. One of the ...

Many simulation problems can be expressed as time evolution under specific interactions, from some simple initial state to a final state whose properties are to be investigated. In this context, the Hamiltonian evolution ...