2014/04/30 by Jiasen Jin, Davide Rossini, Martin Leib +2
Computer Science · Physics and Astronomy · #Bistability #Cold Atom Physics and Bose-Einstein Condensates #Computational physics #Condensed matter physics #Field (mathematics) #Nonlinear system #Phase (matter) #Phase diagram #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Strong Light-Matter Interactions #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.90.023827
published as Phys. Rev. A 90, 023827 (2014) · 11 pages, 12 figures
openalex publication_date 2014/08/15 · arxiv created 2014/08/31 · arxiv updated 2014/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the properties of an array of QED cavities coupled by nonlinear elements in the presence of photon leakage and driven by a coherent source. The main effect of the nonlinear couplings is to provide an effective cross-Kerr interaction between nearest-neighbor cavities. Additionally, correlated photon hopping between neighboring cavities arises. We provide a detailed mean-field analysis of the steady-state phase diagram as a function of the system parameters, the leakage, and the external driving and show the emergence of a number of different quantum phases. A photon crystal associated with a spatial modulation of the photon blockade appears. The steady state can also display oscillating behavior and bistability. In some regions the crystalline ordering may coexist with the oscillating behavior. Furthermore, we study the effect of short-range quantum fluctuations by employing a cluster mean-field analysis. Focusing on the corrections to the photon crystal boundaries, we show that, apart for some quantitative differences, the cluster mean field supports the findings of the simple single-site analysis. In the last part of the paper we concentrate on the possibility of building up the class of arrays introduced here, by means of superconducting circuits of existing technology. We consider a realistic choice of the parameters for this specific implementation and discuss some properties of the steady-state phase diagram.