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Synthetic gauge fields and homodyne transmission in Jaynes–Cummings lattices

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Published 16 September 2011 Published under licence by IOP Publishing Ltd
, , Citation A Nunnenkamp et al 2011 New J. Phys. 13 095008 DOI 10.1088/1367-2630/13/9/095008

1367-2630/13/9/095008

Abstract

Many-body physics is traditionally concerned with systems of interacting massive particles. Recent studies of effective interactions between photons, induced in the circuit quantum electrodynamics (QED) architecture by coupling the microwave field to superconducting qubits, have paved the way for photon-based many-body physics. We derive the magnitude and intrinsic signs of photon hopping amplitudes in such circuit QED arrays. For a finite, ring-shaped Jaynes–Cummings lattice exposed to a synthetic gauge field, we show that degeneracies in the single-excitation spectrum emerge, which can give rise to strong correlations for the interacting system with multiple excitations. We calculate the homodyne transmission for such a device, explain the generalization of vacuum Rabi splittings known for the single-site Jaynes–Cummings model and identify fingerprints of interactions beyond the linear response regime.

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