Quantum collisional models offer a powerful microscopic framework for modeling open quantum system dynamics. In these models, the environment (or bath) is represented by a sequence of identical ancillae that interact with the system one at a time.

We have explored many-body thermalization using such models and demonstrated their equivalence, in certain limits, to the stochastic Metropolis Monte Carlo algorithm.

Given that these models capture system–reservoir interactions exactly, they are increasingly being used to study error propagation and mitigation in the context of digital quantum computation, which is also a next step that I would be considering in my research. 

The development of quantum analog and digital simulators has brought renewed interest in understanding nonequilibrium quantum dynamics, especially for state preparation protocols that involve driving a system across a quantum critical point.

A central focus of my work has been on quench dynamics and the emergence of Kibble–Zurek (KZ) scaling laws, which describe how excitations are generated when a system is driven non-adiabatically through a continuous (second-order) phase transition. I have studied these scaling behaviors in conventional second-order transitions and have extended the KZ framework to first-order quantum phase transitions, for studying the metastable false vacuum decay—phenomena relevant both in condensed matter and early Universe cosmology.

These dynamical questions naturally lead to new directions I am keen to explore next — in particular, understanding quantum phase transitions in disordered systems, where randomness plays a central role in critical dynamics, and extending these studies to open quantum systems, where noise and decoherence fundamentally alter the nonequilibrium behavior.