Modeling light-matter coupled systems with neural quantum states

• URL: http://arxiv.org/abs/2606.14352v1
• Date: Fri, 12 Jun 2026 11:21:57 GMT
• Title: Modeling light-matter coupled systems with neural quantum states
• Abstract summary: We develop a neural quantum state based approach to study many-body systems.<n>We benchmark this approach on a model of a two-dimensional lattice of Rydberg atoms coupled to a photon mode.<n>The ability to capture spin-spin and spin-photon correlations leads us to observe quantitative deviations in the ground state phase boundaries.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recent advances in cold atom manipulation enable the study of many-body systems where short-range interactions between neighboring atoms coexist with long-range interactions mediated by photons. Such a combination of interactions makes a theoretical approach challenging beyond mean-field methods. In this work, we develop a neural quantum state based approach to study these systems numerically. We introduce a neural-network architecture capable of handling hybrid Hilbert spaces with large local bosonic dimensions in strongly interacting spin-photon systems. We benchmark this approach on a model of a two-dimensional lattice of Rydberg atoms coupled to a photon mode. The superradiant ground states found in the large spin-photon coupling regime allow us to demonstrate the efficiency of the method in the presence of high photon occupation. Furthermore, the ability to capture spin-spin and spin-photon correlations leads us to observe quantitative deviations in the ground state phase boundaries with respect to mean-field theory. The method extends to other systems with a similar hybrid Hilbert space structure, such as spin-phonon systems, and provides a scalable framework for investigating their ground state properties.

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