Synchronized Switching in a Josephson Junction Crystal

Abstract

We consider a superconducting coplanar waveguide resonator where the central conductor is interrupted by a series of uniformly spaced Josephson junctions. The device forms an extended medium that is optically nonlinear on the single photon level with normal modes that inherit the full nonlinearity of the junctions but are nonetheless accessible via the resonator ports. For specific plasma frequencies of the junctions a set of normal modes clusters in a narrow band and eventually become entirely degenerate. Upon increasing the intensity of a red detuned drive on these modes, we observe a sharp and synchronized switching from low occupation quantum states to high occupation classical fields, accompanied by a pronounced jump from low to high output intensity.

13 pages, 5 figures

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• Uniqueness of the Phase Transition in Many-Dipole Cavity Quantum Electrodynamical Systems
• Dicke simulators with emergent collective quantum computational abilities
• Creation of quantum error correcting codes in the ultrastrong coupling regime
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• Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice
• Superconducting quantum many-body circuits for quantum simulation and computing
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