Peano Cavasola V, Schulz-Baldes H (2018)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Publication year: 2018
Publisher: AMER INST PHYSICS
Book Volume: 59
Article Number: 031901
Journal Issue: 3
DOI: 10.1063/1.5002094
Quadratic bosonic Hamiltonians over a one-particle Hilbert space can be described by a Bogoliubov-de Gennes (BdG) Hamiltonian on a particle-hole Hilbert space. In general, the BdG Hamiltonian is not self-adjoint, but only J-self-adjoint on the particle-hole space viewed as a Krein space. Nevertheless, its energy bands can have non-trivial topological invariants like Chern numbers or winding numbers. By a thorough analysis for tight-binding models, it is proved that these invariants lead to bosonic edge modes which are robust to a large class of possibly disordered perturbations. Furthermore, general scenarios are presented for these edge states to be dynamically unstable even though the bulk modes are stable. Published by AIP Publishing.
APA:
Peano Cavasola, V., & Schulz-Baldes, H. (2018). Topological edge states for disordered bosonic systems. Journal of Mathematical Physics, 59(3). https://dx.doi.org/10.1063/1.5002094
MLA:
Peano Cavasola, Vittorio, and Hermann Schulz-Baldes. "Topological edge states for disordered bosonic systems." Journal of Mathematical Physics 59.3 (2018).
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