West, C. T. (2011). Chaos at the Crossroads of Spontaneous Symmetry Breakings: Novel Universality Classes. Retrieved from https://doi.org/10.14418/wes01.1.663
This thesis investigates quantum systems with underlying classically chaotic dynam- ics in the framework of spontaneous symmetry-breaking transitions. The main emphases are on: (i) Quantum-Classical correspondence in systems at a metal-to-insulator tran- sition as seen through dynamical stability with respect to external perturbations, and (ii) the spontaneous breaking of combined parity and time-reversal symmetry in non- Hermitian systems across the localization-delocalization transition. By studying such crossroads between a critical phase transition and a parametric system change (quan- tum to classical or localized to delocalized) we are able to develop results for entire universality classes.