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arXiv · 2202.00699

Experimentally accessible scheme for a fractional Chern insulator in Rydberg atoms

Sebastian Weber·Rukmani Bai·Nastasia Makki·Johannes Mögerle·Thierry Lahaye·Antoine Browaeys·Maria Daghofer·Nicolai Lang·Hans Peter Büchler
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Abstract

We present a setup with Rydberg atoms for the realization of a bosonic fractional Chern insulator in artificial matter. The suggested setup relies on Rydberg atoms arranged in a honeycomb lattice, where excitations hop through the lattice by dipolar exchange interactions, and can be interpreted as hard-core bosons. The quantum many-body Hamiltonian is studied within exact diagonalization and DMRG. We identify experimentally accessible parameters where all signatures indicate the appearance of a fractional state with the same topological properties as the $\nu=1/2$ bosonic Laughlin state. We demonstrate an adiabatic ramping procedure, which allows for the preparation of the topological state in a finite system, and demonstrate an experimentally accessible smoking gun signature for the fractional excitations.

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Sebastian Weber, Rukmani Bai, Nastasia Makki, Johannes Mögerle, Thierry Lahaye, Antoine Browaeys, Maria Daghofer, Nicolai Lang, Hans Peter Büchler. 2022-02-01. Experimentally accessible scheme for a fractional Chern insulator in Rydberg atoms. https://arxiv.org/abs/2202.00699

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