Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics
Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics
English | 2024 | ISBN: 3031520440 | 259 Pages | PDF EPUB (True) | 20 MB
English | 2024 | ISBN: 3031520440 | 259 Pages | PDF EPUB (True) | 20 MB
This thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases.