LEADER 04688nam 22007335 450 001 9910851989603321 005 20250808083358.0 010 $a3-031-52045-9 024 7 $a10.1007/978-3-031-52045-7 035 $a(MiAaPQ)EBC31289334 035 $a(Au-PeEL)EBL31289334 035 $a(CKB)31518732200041 035 $a(DE-He213)978-3-031-52045-7 035 $a(EXLCZ)9931518732200041 100 $a20240418d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEffective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics /$fby Vincent Paul Flynn 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (250 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$a3-031-52044-0 327 $aPreface -- 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. . 330 $aThis thesis provides an in-depth investigation of effective non-Hermiticity and topology in many-mode, non-interacting, bosonic systems. It also establishes the extent to which one must move beyond the Hamiltonian, closed-system setting, in order to uncover signatures of genuine symmetry-protected topological (SPT) physics in "free" (mean-field) bosons. While SPT phases of free fermionic matter and their associated zero-energy boundary-localized modes have been thoroughly explored, similar physics in free bosonic systems still remains elusive. No fermionic counterpart exists for the distinctive dynamical behavior that arises from the effective non-Hermiticity, intrinsic even at equilibrium, to bosonic Hamiltonians. Therefore, a much needed paradigm shift is required to address major conceptual roadblocks in the search for SPT bosonic phases. The analysis within develops, in particular, the notion of topological metastability in quadratic bosonic systems subject to Markovian dissipation. The resulting dynamical paradigm was found to be characterized by both a sharp separation between transient and asymptotic dynamics and non-trivial topological invariants. It also features long-lived boundary-localized "Majorana boson" and "Dirac boson" modes, which realize tight bosonic analogues to the edge modes characteristic of fermionic SPT phases. This comprehensive look into non-interacting bosonic systems breaks important new ground for re-imagining quantum phenomena beyond equilibrium, with novel applications in quantum science. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aQuantum electrodynamics 606 $aQuantum statistics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aMathematical physics 606 $aDynamics 606 $aQuantum optics 606 $aQuantum Electrodynamics, Relativistic and Many-body Calculations 606 $aQuantum Fluids and Solids 606 $aElementary Particles, Quantum Field Theory 606 $aMathematical Methods in Physics 606 $aDynamical Systems 606 $aQuantum Optics 615 0$aQuantum electrodynamics. 615 0$aQuantum statistics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aMathematical physics. 615 0$aDynamics. 615 0$aQuantum optics. 615 14$aQuantum Electrodynamics, Relativistic and Many-body Calculations. 615 24$aQuantum Fluids and Solids. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aMathematical Methods in Physics. 615 24$aDynamical Systems. 615 24$aQuantum Optics. 676 $a530.1433 700 $aFlynn$b Vincent Paul$01770174 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910851989603321 996 $aEffective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics$94247953 997 $aUNINA