77 citations · 112 across the 3 of their papers we have counts for
8 papers
Bloch and Bethe ansatze for the Harper model: A butterfly with a boundary
Qiao-Ru Xu, Emilio Cobanera, Gerardo Ortiz
Based on a recent generalization of Bloch's theorem, we present a Bloch ansatz for the Harper model with an arbitrary rational magnetic flux in various geometries, and solve the as…
Squaring the fermion: The threefold way and the fate of zero modes
Qiao-Ru Xu, Vincent P. Flynn, Abhijeet Alase +3
We investigate topological properties and classification of mean-field theories of stable bosonic systems. Of the three standard classifying symmetries, only time-reversal represen…
Restoring number conservation in quadratic bosonic Hamiltonians with dualities
Vincent P. Flynn, Emilio Cobanera, Lorenza Viola
Number-non-conserving terms in quadratic bosonic Hamiltonians can induce unwanted dynamical instabilities. By exploiting the pseudo-Hermitian structure built in to these Hamiltonia…
Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
Vincent P. Flynn, Emilio Cobanera, Lorenza Viola
Unlike their fermionic counterparts, the dynamics of Hermitian quadratic bosonic Hamiltonians are governed by a generally non-Hermitian Bogoliubov-de Gennes effective Hamiltonian.…
Phase transitions in the and U(1) clock models
G. Sun, T. Vekua, E. Cobanera +1
Quantum phase transitions are studied in the non-chiral -clock chain, and a new explicitly U(1)-symmetric clock model, by monitoring the ground-state fidelity susceptibility. Fo…
Absence of Finite Temperature Phase Transitions in the X-Cube Model and its Generalization
Zack Weinstein, Emilio Cobanera, Gerardo Ortiz +1
We investigate thermal properties of the X-Cube model and its `clock-type' (X-Cube) extension. In the latter, the elementary spin-1/2 operators of the X-Cube mo…