Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 46: Quantum Dots, Quantum Wires, Point Contacts

TT 46.6: Talk

Wednesday, April 3, 2019, 16:15–16:30, H22

An integrable multi-channel sine-Gordon model with Josephson circuits — •Ananda Roy^1,2 and Hubert Saleur¹ — ¹Institut de Physique Theorique, CEA-Saclay — ²Institute for Quatum Information, RWTH Aachen University

Integrable field theories have always fascinated physicists. In particular, those which describe quantum impurity problems have been of much interest to both theorists and experimentalists. A prominent example is the boundary sine-Gordon (bSG) field theory. The latter describes a Luttinger liquid in the presence of an impurity. In this work, we propose an experimentally realizable, multi-channel generalization of the bSG model. We establish the classical and quantum integrability of the model by constructing a corresponding integrable bulk theory. We provide the first nontrivial conserved current of the bulk theory. Subsequently, we postulate the factorized scattering matrix describing the bulk theory and verify it using Bethe Ansatz computation of the ground state energy. Subsequently, we provide the factorized scattering matrix of the boundary field theory. Thermodynamic properties of both the bulk and boundary model are computed using the Thermodynamic Bethe Ansatz. Finally, we propose an experimental realization of the model with superconducting circuits, making use of the robust, tunable and dispersive Josephson nonlinearity. Our proposal can be realized with state-of-the-art system parameters.