Stationary discrete solitons in circuit QED

Abstract

We demonstrate that stationary localized solutions (discrete solitons) exist in a one dimensional Bose-Hubbard lattices with gain and loss in the semiclassical regime. Stationary solutions, by defi- nition, are robust and do not demand for state preparation. Losses, unavoidable in experiments, are not a drawback, but a necessary ingredient for these modes to exist. The semiclassical calculations are complemented with their classical limit and dynamics based on a Gutzwiller Ansatz. We argue that circuit QED architectures are ideal platforms for realizing the physics developed here. Finally, within the input-output formalism, we explain how to experimentally access the different phases, including the solitons, of the chain.

10 pages including appendix, 7 figures

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Cited by in corpus (4)

• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Two coupled nonlinear cavities in a driven-dissipative environment
• Nonequilibrium photonic transport and phase transition in an array of optical cavities