Quantum electronic circuit simulation of generalized Sine-Gordon models

Ananda Roy (1, 2) , Hubert Saleur (1, 3)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich
3 UCLA - University of California [Los Angeles]

Investigation of strongly interacting, nonlinear quantum field theories (QFTs) remains one of the outstanding challenges of modern physics. Here, we describe analog quantum simulators for nonlinear QFTs using mesoscopic superconducting circuit lattices. Using the Josephson effect as the source of nonlinear interaction, we investigate generalizations of the quantum sine-Gordon model. In particular, we consider a two-field generalization, the double sine-Gordon model. In contrast to the sine-Gordon model, this model can be purely quantum integrable, when it does not admit a semiclassical description—a property that is generic to many multifield QFTs. The primary goal of this work is to investigate different thermodynamic properties of the double sine-Gordon model and propose experiments that can capture its subtle quantum integrability. First, we analytically compute the mass spectrum and the ground-state energy in the presence of an external “magnetic” field using Bethe ansatz and conformal perturbation theory. Second, we calculate the thermodynamic Bethe ansatz equations for the model and analyze its finite temperature properties. Third, we propose experiments to verify the theoretical predictions.

Mots clés: Surface physics; nanoscale physics; low-dimensional systems

Domaines: Physique Générale [physics.gen-ph]; Physique mathématique [math-ph]

Ananda Roy, Hubert Saleur. Quantum electronic circuit simulation of generalized Sine-Gordon models. Physical Review B, 2019, 100 (15), pp.155425. ⟨10.1103/PhysRevB.100.155425⟩. ⟨hal-02066928⟩