Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases

Fuente: arXiv
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Main Authors: Bock, Benno, Ohler, Simon, Fleischhauer, Michael
Format: Preprint
Published: 2025
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author Bock, Benno
Ohler, Simon
Fleischhauer, Michael
author_facet Bock, Benno
Ohler, Simon
Fleischhauer, Michael
contents We derive a parton mean-field Hamiltonian for Rydberg excitations on a honeycomb lattice with nearest and density-dependent, complex next-nearest neighbor hopping. Numerical results obtained from exact diagonalization of small systems have given indications for a ground state that is a chiral spin liquid (CSL) [Phys.Rev.Res. 5, 013157 (2023)]. Here we provide further evidence for this. Calculating the ground-state wavefunction self-consistently, we show that the mean-field Hamiltonian fulfills the requirements for a CSL ground state, resulting from a projected symmetry group classification and verify the expected twofold topological degeneracy on a torus. Furthermore we find very good overlap with the ground-state wavefunctions obtained by exact diagonalization of the original Hamiltonian.
format Preprint
id arxiv_https___arxiv_org_abs_2505_23409
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases
Bock, Benno
Ohler, Simon
Fleischhauer, Michael
Quantum Gases
We derive a parton mean-field Hamiltonian for Rydberg excitations on a honeycomb lattice with nearest and density-dependent, complex next-nearest neighbor hopping. Numerical results obtained from exact diagonalization of small systems have given indications for a ground state that is a chiral spin liquid (CSL) [Phys.Rev.Res. 5, 013157 (2023)]. Here we provide further evidence for this. Calculating the ground-state wavefunction self-consistently, we show that the mean-field Hamiltonian fulfills the requirements for a CSL ground state, resulting from a projected symmetry group classification and verify the expected twofold topological degeneracy on a torus. Furthermore we find very good overlap with the ground-state wavefunctions obtained by exact diagonalization of the original Hamiltonian.
title Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases
topic Quantum Gases
url https://arxiv.org/abs/2505.23409