Regensburg 2022 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 11: Topology: Quantum Hall Systems
TT 11.7: Talk
Tuesday, September 6, 2022, 11:15–11:30, H10
Adiabatic preparation of fractional quantum Hall phases from the thin torus limit — •Benjamin Michen1, Cécile Repellin2, and Jan Carl Budich1 — 1Institute of Theoretical Physics, Technische Universität Dresden — 2Univ. Grenoble-Alpes, CNRS, LPMMC, 38000 Grenoble, France
We explore as to what extent reversing the thin torus (TT) limit enables the adiabatic preparation of fractional quantum Hall (FQH) states in quantum simulators. As a novel approach, the TT limit is taken by increasing the hopping amplitude in one direction in order to make the system effectively one-dimensional.
The regime of strongly anisotropic coupling features the expected charge density wave (CDW) ground state. The CDW state can be adiabatically connected to the FQH state by tuning the coupling back to the isotropic regime without closing the many-body excitation gap along the way. This may provide an experimental path to the adiabatic preparation of FQH states from topologically trivial CDW states.
We find that the many-body excitation gap in the TT limit decreases with system size for fully discrete models, which limits the adiabatic preparation. However, there appears to be no such restriction in a semicontinuous setup of coupled wires. In that sense, the proposed protocol could be experimentally relevant for arbitrary system sizes.