Simulation of high-spin Heisenberg models in coupled cavities

TL;DR

This paper presents a scheme to simulate high-spin Heisenberg models in coupled cavities using atoms and laser fields, enabling control over spin interactions and magnitudes for complex many-body physics studies.

Contribution

It introduces a novel method to realize and control high-spin Heisenberg models in cavity arrays, expanding quantum simulation capabilities.

Findings

Effective high-spin Heisenberg models can be realized in coupled cavities.

The scheme allows optical control of spin magnitude.

It opens new avenues for simulating complex many-body systems.

Abstract

We propose a scheme to realize the Heisenberg model of any spin in an arbitrary array of coupled cavities. Our scheme is based on a fixed number of atoms confined in each cavity and collectively applied constant laser fields, and is in a regime where both atomic and cavity excitations are suppressed. It is shown that as well as optically controlling the effective spin Hamiltonian, it is also possible to engineer the magnitude of the spin. Our scheme would open up an unprecedented way to simulate otherwise intractable high-spin problems in many-body physics.