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Published May 30, 2012 | Published
Journal Article Open

Two-frequency Jahn-Teller systems in circuit QED

Abstract

We investigate the simulation of Jahn-Teller models with two nondegenerate 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 the isolation of the effective single-frequency and pure two-frequency effects in the spectral response of Jahn-Teller systems.

Additional Information

© 2012 American Physical Society. Received 6 September 2011; published 30 May 2012. We acknowledge inspiring comments by D. Ballester and M. Mariantoni. P. F.-D. acknowledges funding by the Institute for Quantum Information and Matter, an NSF Physics Frontier Center with support of the Gordon and Betty Moore Foundation, by NSF Grant No. PHY0652914, by the DoD NSSEFF program, by the AFOSR MURI for Quantum Memories, and by Northrop Grumman Aerospace Systems. This work is supported by D.P.T. (T.R. Prime Ministry State Planning Organization) under Project No. 2009K12020 and by National Science Foundation of Turkey under Project No. 109T267 and Project No. 111T285. Y. G. gratefully acknowledges support by TUBITAK Post-Doc Program.

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