Topological edge states for disordered bosonic systems

Peano Cavasola V, Schulz-Baldes H (2018)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2018



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.

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How to cite


Peano Cavasola, V., & Schulz-Baldes, H. (2018). Topological edge states for disordered bosonic systems. Journal of Mathematical Physics, 59(3).


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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