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Effective spin physics in two-dimensional cavity QED arrays

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

Effective spin physics in two-dimensional cavity QED arrays Thumbnail


Authors

Ji?� Min�?

?ebnem G�ne? S�yler

Pietro Rotondo



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 Mar 28, 2024
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

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