Experimental investigation of a steady-state dynamical phase transition in a Jaynes-Cummings dimer

Experimental progress in circuit-QED has made it possible to study non-equilibrium many-body physics using strongly correlated photons. Such open and driven systems can display new types of dynamical phase transitions [1]. A steady state transition has also been predicted for a Jaynes-Cummings dimer where the photon current between the two cavities acts as an order parameter [2]. Here, we discuss the theory and report measurements of the steady-state behavior of a circuit-QED dimer with in situ tunable inter-cavity coupling and on-site photon-photon interaction. [1] J. Raftery, D. Sadri, S. Schmidt, H. E. T\"ureci, and A. A. Houck, Phys. Rev. X 4, 031043 (2014). [2] S. Mandt, D. Sadri, A. A. Houck, and H. E. T\"ureci, New J. Phys. 17 (2015) 053018.