Abstract Recent works [,,–] unraveled an intriguing finite-time dynamical phase transition in
the thermal relaxation of the MF Curie-Weiss model. The phase transition reflects a sudden …

We present a formulation for investigating quench dynamics across quantum phase
transitions in the presence of decoherence. We formulate decoherent dynamics induced by …

We present tensor networks for feature extraction and refinement of classifier performance.
These networks can be initialised deterministically and have the potential for implementation …

We introduce a Langevin unravelling of the density matrix evolution of an open quantum
system over matrix product states, which we term the time-dependent variational principle …

Tensor networks are an invaluable tool for the study of quantum systems. In this thesis we
use tensor networks, and more directly matrix product states, to simulate both open and …

In this dissertation, we study multiple nonequilibrium many-body systems from different
aspects. We begin with a brief introduction to nonequilibrium system and general …

The laws of nature encompass the small, the large, the few, and the many. In this thesis we
are concerned with classical (ie not quantum) many-body systems, which refers to any …