Stationary discrete solitons in circuit QED

TL;DR

This paper demonstrates the existence of stationary discrete solitons in a circuit QED setup modeled by a Bose-Hubbard lattice with gain and loss, highlighting their robustness and experimental accessibility.

Contribution

It introduces the concept of stationary discrete solitons in circuit QED architectures with gain and loss, supported by semiclassical and classical analyses.

Findings

Discrete solitons exist in Bose-Hubbard lattices with gain and loss.

Losses are essential, not detrimental, for soliton stability.

Experimental protocols for observing phases including solitons are proposed.

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.