Quantum many-body phenomena in coupled cavity arrays
Article first published online: 17 NOV 2008
Copyright © 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Laser & Photonics Reviews
Volume 2, Issue 6, pages 527–556, December 2008
How to Cite
Hartmann, M.J., Brandão, F.G.S.L. and Plenio, M.B. (2008), Quantum many-body phenomena in coupled cavity arrays. Laser & Photon. Rev., 2: 527–556. doi: 10.1002/lpor.200810046
- Issue published online: 3 DEC 2008
- Article first published online: 17 NOV 2008
- Manuscript Accepted: 26 SEP 2008
- Manuscript Received: 26 AUG 2008
- EPSRC. Grant Numbers: GR/S82176/0, EP/E058256/1
- IST directorate. Grant Number: 015848'
- Alexander von Humboldt Foundation
- EU. Grant Number: STREP project HIP
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). Grant Number: Royal Society
- DFG. Grant Number: Emmy Noether grant HA 5593/1-1
- Quantum many-body models;
- cavity QED;
- photon blockade.
The increasing level of experimental control over atomic and optical systems gained in recent years has paved the way for the exploration of new physical regimes in quantum optics and atomic physics, characterised by the appearance of quantum many-body phenomena, originally encountered only in condensed-matter physics, and the possibility of experimentally accessing them in a more controlled manner. In this review article we survey recent theoretical studies concerning the use of cavity quantum electrodynamics to create quantum many-body systems. Based on recent experimental progress in the fabrication of arrays of interacting micro-cavities and on their coupling to atomic-like structures in several different physical architectures, we review proposals on the realisation of paradigmatic many-body models in such systems, such as the Bose-Hubbard and the anisotropic Heisenberg models. Such arrays of coupled cavities offer interesting properties as simulators of quantum many-body physics, including the full addressability of individual sites and the accessibility of inhomogeneous models.