Absorbing state phase transitions in long-range interacting quantum spin systems

01/10/2022 to 30/09/2026

The project proposed here aims to study the phases and phase transitions of an open quantum many-body system with coherent long-range interactions and an absorbing stationary state. We will investigate the temporal dynamics, stationary phases and universal behaviour near the phase transition point. Moreover, we will investigate generalisations of the above dynamics, e.g. the competition between classical and quantum processes. During the project we will develop numerical methods that are able to treat open quantum systems with long-range interactions. This will allow us to understand when and how their dynamics becomes “complex”, i.e. is hard to simulate on classical computers, and whether they can display novel forms of universal behaviour.