title: Quantum chaos in an ultrastrongly coupled bosonic junction.
abstract: The semiclassical and quantum dynamics of two ultrastrongly coupled nonlinear resonators cannot be explained using the discrete nonlinear Schrödinger equation or the Bose-Hubbard model, respectively. Instead, a model beyond the rotating wave approximation must be studied. In the semiclassical limit this model is not integrable and becomes chaotic for a finite window of parameters. For the quantum dimer we find corresponding regions of stability and chaos. The more striking consequence for both semiclassical and quantum chaos is that the tunneling time between the sites becomes unpredictable. These results, including the transition to chaos, can be tested in experiments with superconducting microwave resonators.
authors.affiliation: Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain.
authors.forename: Uta
authors.initials: U
authors.lastname: Naether
authors.affiliation: Instituto de Física Fundamental, IFF-CSIC, Serrano 113-bis, 28006 Madrid, Spain.
authors.forename: Juan José
authors.initials: JJ
authors.lastname: García-Ripoll
authors.affiliation: Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain.
authors.forename: Juan José
authors.initials: JJ
authors.lastname: Mazo
authors.affiliation: Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, 50009 Zaragoza, Spain and Fundación ARAID, Paseo María Agustín 36, 50004 Zaragoza, Spain.
authors.forename: David
authors.initials: D
authors.lastname: Zueco
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011789:Quantum Theory