SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 65: Correlated Electrons: Other Theoretical Topics
TT 65.9: Vortrag
Freitag, 31. März 2023, 11:45–12:00, HSZ 204
Simulation of anyonic tight-binding Hamiltonians — •Nico Kirchner1, Babatunde Ayeni5, Adam Smith2,3, Joost Slingerland5,6, and Frank Pollmann1,4 — 1Department of Physics, TFK, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany — 2School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK — 3Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham, NG7 2RD, UK — 4Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 5Department of Mathematical Physics, National University of Ireland, Maynooth, Ireland — 6Dublin Institute for Advanced Studies, School of Theoretical Physics, 10 Burlington Rd, Dublin, Ireland
Anyons are quasiparticles with exotic exchange statistics that can be supported in two-dimensional systems such as quantum spin liquids and fractional quantum Hall systems. In general, even effective models for such systems are not exactly solvable, which leads to numerical approaches to study the properties of anyons. In this talk, I will discuss how to numerically simulate anyonic tight-binding Hamiltonians for general abelian and non-abelian anyon models using the formalism of fusion diagrams. The presented results for such tight-binding Hamiltonians include energy level spacing statistics, which reveal level repulsion for all considered anyons. Further, it is observed that the density distribution following a quench becomes homogeneous at large times for these systems, which indicates thermalization.