Quantum Phase Transitions in Coupled Arrays of Cavities

Fernando G .S. L. Brandão, Michael J. Hartmann, Martin B. Plenio

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Recent experimental progress in cavity quantum-electrodynamics has lead to the fabrication of arrays of coupled cavities, which could be employed to create strongly correlated many-body systems, when operated in the strong coupling regime. In this work, we show that two models of interest to both, condensed matter physics and quantum information science, namely the Bose-Hubbard model and the anisotropic Heisenberg model (XYZ-model), could be realized in such systems with present or near future experimental capabilities. We also discuss the feasibility of realizing a Mott-insulator of photons in such systems. Crucial for this proposal is the possibility of creating very strong photonic Kerr nonlinearities, several oders of magnitude larger than previously considered feasible. We show how this could be achieved with the setting based on electromagnetically induced transparency and with a new scheme, which is experimentally less demanding than the former.

Original languageEnglish
Title of host publicationComputing in Modern Science and Engineering
Subtitle of host publicationProceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): VOLUME 2, PARTS A and B
PublisherAIP Publishing
Number of pages4
ISBN (Print)9780735404786
Publication statusPublished - 26 Dec 2007
EventInternational Conference on Computational Methods in Science and Engineering 2007 - Corfu, Greece
Duration: 25 Sept 200730 Sept 2007

Publication series

NameAIP Conference Proceedings
PublisherAIP Publising
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceInternational Conference on Computational Methods in Science and Engineering 2007
Abbreviated titleICCMSE 2007


  • Bose-Hubbard model
  • Cavity QED
  • Kerr non-linearities
  • Quantum phase transitions

ASJC Scopus subject areas

  • General Physics and Astronomy


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