5 papers
Symplectic Hopf Insulator: Delicate Topology in Bosonic Bogoliubov-de Gennes Systems
Isaac Tesfaye, Giandomenico Palumbo
Recent advances in topological phases have highlighted the role of symplectic (Krein-space) topology in the classification of bosonic Bogoliubov-de Gennes (BBdG) systems. In this w…
Few-body bound states in the anyon-Hubbard model
Isaac Tesfaye, Christina Mascherbauer, Joyce Kwan +6
Quantum statistics in low-dimensional systems predicts anyonic particles with fractional exchange statistics which are neither that of bosons nor fermions. While anyons are typical…
Exact analytical spectrum, eigenstates, and quantum geometry of the quarter-flux Harper-Hofstadter model
Isaac Tesfaye, André Eckardt
Quantum geometry has emerged as a guiding principle across atomic and condensed-matter physics, shaping the topological responses of Bloch bands and the stability of the correlated…
Revealing Pseudo-Fermionization and Chiral Binding of One-Dimensional Anyons using Adiabatic State Preparation
Brice Bakkali-Hassani, Joyce Kwan, Perrin Segura +5
Fractional statistics give rise to quantum behaviors that differ fundamentally from those of bosons and fermions. While two-dimensional anyons play a major role in strongly correla…
Quantum geometry of bosonic Bogoliubov quasiparticles
Isaac Tesfaye, André Eckardt
Bosonic Bogoliubov de Gennes (BBdG) Hamiltonians describe the excitations of weakly interacting Bose condensates as well as photonic systems under parametric driving. Their topolog…