04713nam 22007335 450 991085198960332120240627162217.03-031-52045-910.1007/978-3-031-52045-7(MiAaPQ)EBC31289334(Au-PeEL)EBL31289334(CKB)31518732200041(DE-He213)978-3-031-52045-7(EXLCZ)993151873220004120240418d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEffective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics /by Vincent Paul Flynn1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (250 pages)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50613-031-52044-0 Preface -- 1 Introduction -- I Effective Non-Hermiticity in Closed Bosonic Systems -- 2 Background: Quadratic bosonic Hamiltonians -- 3 Dynamical stability phase transition -- 4 The role of pairing in dynamically stable QBHs -- 5 Obstructions to SPT-like physics in QBHs -- II Signs of genuine SPT Physics in Open Bosonic Systems -- 6 Background: Quadratic bosonic Lindbladians -- 7 Zero modes, Weyl symmetries, and QBL design -- 8 Signatures of SPT physics in 1D bulk-translationally invariant QBLs -- 9 The realm of possibilities -- 10 Summary and outlook -- A Spectra and pseudospectra of block-Toeplitz matrices and operators -- B Miscellaneous technical calculations. .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. The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized "Majorana boson" and "Dirac boson" modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5061Quantum electrodynamicsQuantum statisticsElementary particles (Physics)Quantum field theoryMathematical physicsDynamical systemsQuantum opticsQuantum Electrodynamics, Relativistic and Many-body CalculationsQuantum Fluids and SolidsElementary Particles, Quantum Field TheoryMathematical Methods in PhysicsDynamical SystemsQuantum OpticsQuantum electrodynamics.Quantum statistics.Elementary particles (Physics).Quantum field theory.Mathematical physics.Dynamical systems.Quantum optics.Quantum Electrodynamics, Relativistic and Many-body Calculations.Quantum Fluids and Solids.Elementary Particles, Quantum Field Theory.Mathematical Methods in Physics.Dynamical Systems.Quantum Optics.530.1433Flynn Vincent Paul1770174MiAaPQMiAaPQMiAaPQBOOK9910851989603321Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics4247953UNINA