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Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics

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 t...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Flynn, Vincent Paul (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edizioa:1st ed. 2024.
Saila:Springer Theses, Recognizing Outstanding Ph.D. Research,
Gaiak:
Quantum 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.
Sarrera elektronikoa:https://doi.org/10.1007/978-3-031-52045-7
Etiketak: Etiketa erantsi
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Aurkibidea:
  • 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. .

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