Two-Frequency Jahn-Teller Systems in Circuit QED

TL;DR

This paper proposes a circuit QED setup with two resonators and a flux qubit to simulate anisotropic Jahn-Teller models, allowing tunable exploration of single and two-frequency effects in quantum systems.

Contribution

It introduces a novel circuit QED architecture for simulating two-frequency Jahn-Teller systems with tunable parameters, enabling detailed spectral analysis.

Findings

System can be tuned from two-frequency to single-frequency regimes

Spectral responses reveal isolated effects of Jahn-Teller interactions

Energy eigenvalues and emission spectra are calculable and controllable

Abstract

We investigate the simulation of Jahn-Teller models with two non-degenerate vibrational modes using a circuit QED architecture. Typical Jahn-Teller systems are anisotropic and require at least a two-frequency description. The proposed simulator consists of two superconducting lumped-element resonators interacting with a common flux qubit in the ultrastrong coupling regime. We translate the circuit QED model of the system to a two-frequency Jahn-Teller Hamiltonian and calculate its energy eigenvalues and the emission spectrum of the cavities. It is shown that the system can be systematically tuned to an effective single mode Hamiltonian from the two-mode model by varying the coupling strength between the resonators. The flexibility in manipulating the parameters of the circuit QED simulator permits isolating the effective single frequency and pure two-frequency effects in the spectral response of Jahn-Teller systems.