Research Projects

The development of quantum technologies relies heavily on a comprehensive understanding of non-equilibrium dynamics of quantum many-body systems and their quantum information. However, these systems often equilibrate to thermal states, leading to the scrambling of coherent quantum information. This is closely linked to the growth of quantum entanglement. Therefore, it is crucial to develop ideas to arrest entanglement growth and localize quantum information for controlled retrieval and manipulation. The proposed research aims to contribute to understanding many-body localisation (MBL) phases and unconventional phase transitions from ergodic, delocalised phases to MBL phases, focusing on the dynamics of local correlations and entanglement. The project will use time-dependent state amplitudes on the Fock/Hilbert space to develop a theoretical framework for the dynamics. Analytical progress will be made using diagrammatic techniques, similar to those used for single-particle localisation on high-dimensional graphs but with non-trivially scaled correlations and connectivities. A parallel line of research will focus on rare resonances in the MBL phase, which are understood to control dynamical correlations and the MBL transition via their proliferation. The research will formulate a theory rooted in microscopics by identifying resonant clusters on the Fock/Hilbert-space graph and their growth under dynamics. The comprehensive understanding of MBL phases will help experimentalists design quantum computing platforms that can robustly store quantum information.