This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models intimately related to paradigmatic condensed matter models and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.

Nominated as an outstanding Ph.D. thesis by the University of Cambridge, Cambridge, UK Demonstrates for the first time localization behaviour without the presence of disorder, which was previously thought to be a prerequisite ingredient Relevant to both theorists and experimentalists with connections to many areas of condensed matter physics Utilises a large range of analytic and numerical tools, which are covered in detail

Autorentext

Adam Smith completed his doctoral studies at the University of Cambridge UK (with Dr. Dmitry Kovrizhin). Following this he took up a Postdoc position at Imperial College London UK and is now a Postdoc at the Technical University Munich, Germany.

Inhalt
Introduction.- The Model.- Localization.- Entanglement Properties.- Out-of-Time-Ordered Correlators.- Interactions.- Experimental Proposal.- Conclusions and Outlook.- Appendix.