We consider a model describing Bose-Josephson junction (BJJ) coupled to a single bosonic
mode exhibiting quantum phase transition (QPT). Onset of chaos above QPT is observed …

Driven-dissipative many-body systems are difficult to analyze analytically due to their
nonequilibrium dynamics, dissipation, and many-body interactions. In this paper, we …

In this paper, we study thermalization of spin chains whose two end spins interact with two
independent non-Markovian dephasing baths by the quantum state diffusion (QSD) …

We investigate the effect of dissipation in a Bose-Josephson junction (BJJ) coupled to baths
of bosons at its two sites. Apart from the dynamical transition due to repulsive interactions …

Critical behaviour in phase transitions is a resource for enhanced precision metrology. The
reason is that the function, known as Fisher information, is superextensive at critical points …

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the
isolated model itself exhibits a quantum phase transition, we explore the critical signatures …

We study the dynamics of a Lipkin-Meshkov-Glick model in the presence of Markovian
dissipation, with a focus on late-time dynamics and the approach to thermal equilibrium …

We present an exact computation of effective Hamiltonians for an elementary model
obtained from the Yukawa theory by going to the limit of bare fermions being infinitely heavy …

This thesis describes three studies using ultracold gases of bosonic dysprosium atoms. We
encode quantum states of interest in the large electronic ground state spin J= 8 of each …

Driven-dissipative quantum systems have become an important paradigm of nonequilibrium
quantum systems, and aptly describe many common experimental setups in atomic …