Abstract
The photon-blockade effect, where nonlinearities at the single-photon level alter the quantum statistics of light emitted from a cavity1, has been observed in cavity quantum electrodynamics experiments with atomic2,3 and solid-state systems4,5,6,7,8. Motivated by the success of single-cavity quantum electrodynamics experiments, the focus has recently shifted to the exploration of the rich physics promised by strongly correlated quantum-optical systems in multicavity and extended photonic media9,10,11,12,13,14. Even though most cavity quantum electrodynamics structures are inherently dissipative, most of the early work on strongly correlated photonic systems has assumed cavity structures where losses are essentially negligible. Here we investigate a dissipative quantum-optical system that consists of two coherently driven linear optical cavities connected through a central cavity with a single-photon nonlinearity (an optical analogue of the Josephson interferometer). The interplay of tunnelling and interactions is analysed in the steady state of the system, when a dynamical equilibrium between driving and losses is established. Strong photonic correlations can be identified through the suppression of Josephson-like oscillations of the light emitted from the central cavity as the nonlinearity is increased. In the limit of a single nonlinear cavity coupled to two linear waveguides, we show that photon-correlation measurements would provide a unique probe of the crossover to the strongly correlated regime.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout



Similar content being viewed by others
References
Werner, M. J. & Imamoglu, A. Photon–photon interactions in cavity electromagnetically induced transparency. Phys. Rev. A 61, R011801 (1999).
Birnbaum, K. M. et al. Photon blockade in an optical cavity with one trapped atom. Nature 436, 87–90 (2005).
Schuster, I. et al. Nonlinear spectroscopy of photons bound to one atom. Nature Phys. 4, 382–385 (2008).
Schuster, D. I. et al. Resolving photon number states in a superconducting circuit. Nature 445, 515–518 (2007).
Hennessy, K. et al. Quantum nature of a strongly coupled single quantum dot–cavity system. Nature 445, 896–899 (2007).
Srinivasan, K. & Painter, O. Linear and nonlinear optical spectroscopy of a strongly coupled microdisc–quantum dot system. Nature 450, 862–865 (2007).
Faraon, A. et al. Coherent generation of nonclassical light on a chip via photon-induced tunneling and blockade. Nature Phys. 4, 859–863 (2008).
Bishop, L. S. et al. Nonlinear response of the vacuum Rabi resonance. Nature Phys. 5, 105–109 (2009).
Hartmann, M. J., Brandão, F. G. S. L. & Plenio, M. B. Strongly interacting polaritons in coupled arrays of cavities. Nature Phys. 2, 849–855 (2006).
Greentree, A. D., Tahan, C., Cole, J. H. & Hollenberg, L. C. L. Quantum phase transitions of light. Nature Phys. 2, 856–861 (2006).
Angelakis, D. G., Santos, M. F. & Bose, S. Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays. Phys. Rev. A 76, R031805 (2007).
Chang, D. E. et al. Crystallization of strongly interacting photons in a nonlinear optical fibre. Nature Phys. 4, 884–889 (2008).
Shen, J. T. & Fan, S. Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a two-level system. Phys. Rev. Lett. 98, 153003 (2007).
Zhou, L., Gong, Z. L., Liu, Y., Sun, C. P. & Nori, F. Controllable scattering of a single photon inside a one-dimensional resonator waveguide. Phys. Rev. Lett. 101, 100501 (2008).
Jaynes, E. T. & Cummings, F. W. Comparison of quantum and semiclassical radiation theory with application to the beam maser. Proc. IEEE 51, 89–109 (1963).
Verger, A., Ciuti, C. & Carusotto, I. Polariton quantum blockade in a photonic dot. Phys. Rev. B 73, 193306 (2006).
Averin, D. V. & Likharev, K. K. in Mesoscopic Phenomena in Solids (eds Altshuler, B. L., Lee, P. A. & Webb, R. A.) 213 (North Holland, 1991).
Matveev, K. A., Gisselfält, M., Glazman, L. I., Jonson, M. & Shekhter, R. I. Parity-induced suppression of the Coulomb blockade of Josephson tunneling. Phys. Rev. Lett. 70, 2940–2943 (1993).
Geerligs, L. J., de Groot, L. E. M., Verbruggen, A. & Mooji, J. E. Charging effects and quantum coherence in regular Josephson junction arrays. Phys. Rev. Lett. 63, 326–329 (1989).
Elion, W. J., Matters, M., Geigenmüller, U. & Mooji, J. E. Direct demonstration of Heisenberg uncertainty principle in a superconductor. Nature 371, 594–595 (1994).
Carmichael, H. An Open Systems Approach to Quantum Optics (Springer, 1993).
Atlasov, K. A., Karlsson, K. F., Rudra, A., Dwir, B. & Kapon, E. Wavelength and loss splitting in directly coupled photonic-crystal defect microcavities. Opt. Express 16, 16255–16264 (2008).
Combrié, S., De Rossi, A., Tran, Q. V. & Benisty, H. GaAs photonic crystal cavity with ultrahigh Q: Microwatt nonlinearity at 1.55 μm. Opt. Lett. 33, 1908–1910 (2008).
Jakob, M. & Stenholm, S. Variational functions in driven open quantum systems. Phys. Rev. A 67, 032111 (2003).
Diehl, S. et al. Quantum states and phases in driven open quantum systems with cold atoms. Nature Phys. 4, 878–883 (2008).
Acknowledgements
The authors would like to acknowledge discussions with I. Carusotto, C. Ciuti and S. De Liberato. This work was partly supported by NCCR Quantum Photonics. D.G. acknowledges financial support from Fondazione Cariplo. A.I. acknowledges financial support from an ERC Advanced Investigator grant. R.F. acknowledges financial support from EUROSQIP.
Author information
Authors and Affiliations
Corresponding author
Supplementary information
Supplementary Information
Supplementary Informations (PDF 334 kb)
Rights and permissions
About this article
Cite this article
Gerace, D., Türeci, H., Imamoglu, A. et al. The quantum-optical Josephson interferometer. Nature Phys 5, 281–284 (2009). https://doi.org/10.1038/nphys1223
Received:
Accepted:
Published:
Issue date:
DOI: https://doi.org/10.1038/nphys1223
This article is cited by
-
Integrated quantum polariton interferometry
Communications Physics (2022)
-
Quantum nonlinearities at the single-particle level
Nature Materials (2019)
-
Second-order Nonlinearity Induced Unconventional Photon Blockade
International Journal of Theoretical Physics (2019)
-
Tunable Photon Blockade in Coupled Second-order Nonlinear Cavities
International Journal of Theoretical Physics (2018)
-
Unconventional Photon Blockade Based on Two-Photon Tunneling
International Journal of Theoretical Physics (2017)