Theory Seminar: Simulation of anyon dynamics
Nico Kirchner (TUM): 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.
Nico Kirchner (TUM)
Group seminar (hybrid format: B2.46/zoom)
Wed, 29 June 2022, 11:30 am (MEZ)
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 using the formalism of fusion diagrams. The presented results for such tight-binding Hamiltonians include the behavior of density distributions after a quench and energy level spacing statsitics which show level repulsion within momentum sectors. We also briefly consider the anyonic tight-binding Hamiltonian on a ladder for the specific case of Fibonacci anyons, add nearest-neighbor interactions and focus on the strong-interaction limit at half-filling. The effective Hamiltonian turns out to be an analogue of the spin-1/2 Heisenberg chain.
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