Macaluso, E., Comparin, T., Umucalilar, R. O., Gerster, M., Montangero, S., Rizzi, M. and Carusotto, I (2020). Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study. Phys. Rev. Res., 2 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

Full text not available from this repository.

Abstract

We numerically investigate the properties of the quasihole excitations above the bosonic fractional Chern insulator state at filling nu = 1/2, in the specific case of the Harper-Hofstadter Hamiltonian with hard-core interactions. For this purpose, we employ a tree tensor network technique, which allows us to study systems with up to N = 18 particles on a 16 x 16 lattice and experiencing an additional harmonic confinement. First, we observe the quantization of the quasihole charge at fractional values and its robustness against the shape and strength of the impurity potentials used to create and localize such excitations. Then, we numerically characterize quasihole anyonic statistics by applying a discretized version of the relation connecting the statistics of quasiholes in the lowest Landau level to the depletions they create in the density profile [E. Macaluso et al., Phys. Rev. Lett. 123, 266801 (2019)]. Our results give a direct proof of the anyonic statistics for quasiholes of fractional Chern insulators, starting from a realistic Hamiltonian. Moreover, they provide strong indications that this property can be experimentally probed through local density measurements, making our scheme readily applicable in state-of-the-art experiments with ultracold atoms and superconducting qubits.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Macaluso, E.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Comparin, T.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Umucalilar, R. O.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Gerster, M.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Montangero, S.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rizzi, M.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Carusotto, IUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-344978
DOI: 10.1103/PhysRevResearch.2.013145
Journal or Publication Title: Phys. Rev. Res.
Volume: 2
Number: 1
Date: 2020
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2643-1564
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
QUANTUM HALL STATES; WAVE-FUNCTIONS; ELECTRONS; ANYONS; PARITY; MODELMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/34497

Downloads

Downloads per month over past year

Altmetric

Export

Actions (login required)

View Item View Item