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020 _a9783031520457
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024 7 _a10.1007/978-3-031-52045-7
_2doi
050 4 _aQC679-680.5
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI074000
_2bisacsh
072 7 _aPHQ
_2thema
100 1 _aFlynn, Vincent Paul.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975354
245 1 0 _aEffective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics
_h[electronic resource] /
_cby Vincent Paul Flynn.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXI, 238 p. 24 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
505 0 _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. .
520 _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.
650 0 _aQuantum electrodynamics.
_970514
650 0 _aQuantum statistics.
_975355
650 0 _aElementary particles (Physics).
_968885
650 0 _aQuantum field theory.
_968886
650 0 _aMathematical physics.
650 0 _aDynamical systems.
650 0 _aQuantum optics.
650 1 4 _aQuantum Electrodynamics, Relativistic and Many-body Calculations.
_970517
650 2 4 _aQuantum Fluids and Solids.
_975356
650 2 4 _aElementary Particles, Quantum Field Theory.
_968887
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aDynamical Systems.
650 2 4 _aQuantum Optics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031520440
776 0 8 _iPrinted edition:
_z9783031520464
776 0 8 _iPrinted edition:
_z9783031520471
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
_966370
856 4 0 _uhttps://doi.org/10.1007/978-3-031-52045-7
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c59202
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