Experimentally accessible scheme for a fractional Chern insulator in Rydberg atoms

• URL: http://arxiv.org/abs/2202.00699v1
• Date: Tue, 1 Feb 2022 19:00:07 GMT
• Title: Experimentally accessible scheme for a fractional Chern insulator in Rydberg atoms
• Abstract summary: 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. 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.
• Score: 0.14053129774629072
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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