Effective spin physics in two-dimensional cavity QED arrays

Min�?, Ji?�; S�yler, ?ebnem G�ne?; Rotondo, Pietro; Lesanovsky, Igor

Abstract

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis–Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya's enumeration theorem.

Citation

Minář, J., Söyler, Ş. G., Rotondo, P., & Lesanovsky, I. (2017). Effective spin physics in two-dimensional cavity QED arrays. New Journal of Physics, 19, https://doi.org/10.1088/1367-2630/aa753c

• Journal Article Type: Article
• Acceptance Date: May 26, 2017
• Publication Date: Jul 3, 2017
• Deposit Date: Aug 3, 2017
• Publicly Available Date: Aug 3, 2017
• Journal: New Journal of Physics
• Electronic ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 19
• DOI: https://doi.org/10.1088/1367-2630/aa753c
• Keywords: cavity arrays, ground states of spin systems, frustrated spin models, quantum Monte Carlo, Dicke, Jaynes–Cummings, Tavis–Cummings models
• Public URL: https://nottingham-repository.worktribe.com/output/871023
• Publisher URL: http://iopscience.iop.org/article/10.1088/1367-2630/aa753c/meta
• Contract Date: Aug 3, 2017