Effective Non-Hermiticity and Topology in Markovian Quadratic Bosonic Dynamics

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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• Física das partículas e da energia elevada
• Física óptica
• A física quântica (mecânica quântica e teoria quântica de campos)
• Física Matemática
• Cibernética e teoria dos sistemas

free bosonic Hamiltonians;effective non-Hermiticity;symmetry-protected topological phases;SPT phases;Majorana boson;Dirac boson;fermionic SPT phases;bosonic SPT phases;quadratic bosonic Hamiltonians;Lindblad equation;Noether's theorem