We explore both pure and mixed state Floquet dynamical quantum phase transitions
(FDQFTs) in the one-dimensional p-wave superconductor with a time-driven pairing phase …

We study the quench dynamics of noninteracting fermionic quantum many-body systems
that are subjected to Markovian drive and dissipation and are described by a quadratic …

We propose a theory to characterize equilibrium topological phase with nonequilibrium
quantum dynamics by introducing the concept of high-order topological charges, with novel …

We numerically study the evolution of spectral correlations in the entanglement Hamiltonian
(EH) of noninteracting fermions in the Aubry-André-Harper (AAH) model. We analyze the …

We propose a simple method, using the first singular value (FSV) of the spatial correlation of
biphotons, to characterize topological phase transitions (TPTs) in one-dimensional (1D) …

In this Thesis, we investigate some fundamental problems concerning dynamical phases of
quantum matter out of nonequilibrium, an emergent subject at the interface of atomic …