doi:10.1103/PhysRevA.91.033823engNaether, U.Quijandría, F.García-Ripoll, J.J.Zueco, D.Stationary discrete solitons in a driven dissipative Bose-Hubbard chainART-2015-90443We demonstrate that stationary localized solutions (discrete solitons) exist in one-dimensional Bose-Hubbard lattices with gain and loss in a semiclassical regime. Stationary solutions, by definition, are robust and do not demand 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 quantum electrodynamic 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.2015http://zaguan.unizar.es/record/6083710.1103/PhysRevA.91.033823http://zaguan.unizar.es/record/60837oai:zaguan.unizar.es:60837info:eu-repo/grantAgreement/ES/MINECO/FIS2012-33022info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167info:eu-repo/grantAgreement/EC/FP7/258191/EU/Participative Research labOratory for Multimedia and Multilingual Information Systems Evaluation/PROMISEinfo:eu-repo/grantAgreement/ES/DGA/FENOL-GROUPPhysical review. A, Atomic, molecular, and optical physics 91, 3 (2015), 033823 [10 pp]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess