The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

We study a generic cavity-QED system where a set of (artificial) two-level dipoles is coupled
to the electric field of a single-mode LC resonator. This setup is used to derive a minimal …

We theoretically study the dynamical phase diagram of the Dicke model in both classical
and quantum limits using large, experimentally relevant system sizes. Our analysis …

We propose the analog quantum simulation of generalized Dicke models in trapped ions. By
combining bicromatic laser interactions on multiple ions we can generate all regimes of light …

We propose a new dynamical method to connect equilibrium quantum phase transitions and
quantum coherence using out-of-time-order correlations (OTOCs). Adopting the iconic Lipkin …

Macroscopic superposition states enable fundamental tests of quantum mechanics and hold
a huge potential in metrology, sensing, and other quantum technologies. We propose to …

We propose protocols for the creation of useful entangled states in a system of spins
collectively coupled to a bosonic mode, directly applicable to trapped-ion and cavity QED …

Exploring the bulk-boundary correspondences and the boundary-induced phenomena in
the strongly-correlated quantum systems belongs to the most fundamental topics of …

Understanding the physics of quantum many-body systems poses a significant challenge in
quantum science. These systems, when precisely controlled, have the potential to enable a …

The focus of this thesis work is on the role of long-range interactions in the nonequilibrium
coherent quantum dynamics. I have explored a number of settings in which long-range …