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...
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| Format: | eBook |
| Language: | English |
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Cham
Springer Nature Switzerland
2024, 2024
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| Edition: | 1st ed. 2024 |
| Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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.