Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics

Häftad, Engelska, 2025

AvVincent Paul Flynn

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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.

Produktinformation

Utgivningsdatum2025-04-20
Mått155 x 235 x 15 mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieSpringer Theses
Antal sidor238
FörlagSpringer International Publishing AG
ISBN9783031520471

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Dr. Vincent P. Flynn received his Ph.D. in 2023 under the supervision of Professor Lorenza Viola at Dartmouth College for his work investigating the roles of non-Hermiticity and topology in quadratic Markovian quantum systems. Since then, he has worked as a postdoctoral researcher with Prof. Viola expanding the results of his Ph.D. work and broadening his focus to encompass further topics in nonequilibrium statistical mechanics and quantum information. Beyond science, Dr. Flynn enjoys spending time with his wife Andrea, his newborn daughter Audrey, and his two cats Schrödinger and Cleopatra.

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.