Overview

Research

I study how quantum many-body systems explore their Hilbert space, thermalise, and break ergodicity. My work combines analytical and numerical approaches, drawing on tools from random matrix theory, spectral statistics, and entanglement theory to understand dynamics and structure in complex quantum systems.

Topics

Non-equilibrium Quantum Dynamics

How information and entanglement propagate after a quantum quench; lightcones and their anomalous structure in disordered systems.

Ergodicity & its Breaking

Many-body localisation, eigenstate correlations, and the fate of thermalisation in strongly disordered quantum spin chains.

Quantum Chaos

Spectral form factors, out-of-time-order correlators, information scrambling, and imprints on eigenstates of chaotic systems.

Krylov Complexity

Spread complexity and Krylov-space anatomy as probes of operator growth, localisation, and chaos in many-body systems.

Random Matrix Theory

Level statistics and universal correlations as diagnostics of chaos; connections between RMT and physical quantum systems.

Correlation-Induced Localisation

Robustness of localisation under structured correlations and broken symmetries in disordered single-particle models.