Preparation of a Quantum Spin Liquid in Non-Hermitian Quantum Dimer Models and Rydberg Arrays

• URL: http://arxiv.org/abs/2512.19809v1
• Date: Mon, 22 Dec 2025 19:02:37 GMT
• Title: Preparation of a Quantum Spin Liquid in Non-Hermitian Quantum Dimer Models and Rydberg Arrays
• Authors: Shashwat Chakraborty, Taylor L. Hughes,
• Abstract summary: We identify an unconventional form of the non-Hermitian skin effect that occurs not in position space but in many-body Fock space.<n>We propose a concrete route toward its realization in Rydberg atom arrays.<n>Our results establish Fock-space non-Hermiticity as a powerful principle for engineering exotic quantum phases and dynamical state-preparation protocols.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We identify an unconventional form of the non-Hermitian skin effect that occurs not in position space but in many-body Fock space, which we call the Fock space skin effect (FSSE). Using quantum dimer models, we characterize FSSE analytically and numerically, and propose a concrete route toward its realization in Rydberg atom arrays. The dimer constraint is enforced through Rydberg gadgets employing the blockade mechanism, while directional reservoirs generate non-Hermitian flipping amplitudes. We show that FSSE enables the preparation of gapped spin liquid states, and in particular, we demonstrate how a Rydberg geometry realizing a square lattice quantum dimer model with next-nearest neighbor dimers can be driven by non-Hermiticity into an exact spin liquid ground state. Our results establish Fock-space non-Hermiticity as a powerful principle for engineering exotic quantum phases and dynamical state-preparation protocols.

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