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Photonics 2015, 2(2), 449-458;

Dispersive Response of a Disordered Superconducting Quantum Metamaterial

Russian Quantum Center, Novaya St. 100, Skolkovo, Moscow region 143025, Russia
Kotel'nikov Institute of Radio Engineering and Electronics of the Russian Academie of Sciences, Mokhovaya 11/7, Moscow 125009, Russia
Center of Fundamental and Applied Research, N.L. Dukhov All-Russia Institute of Science and Research, Sushchevskaya 22, Moscow 123055, Russia
Physikalisches Institut, Karlsruhe Institute of Technology, Karlsruhe D-76128, Germany
ARC Centre for Engineered Quantum Systems, University of Queensland, Brisbane,Queensland 4072, Australia
National University of Science and Technology MISIS, Leninsky prosp. 4, Moscow 119049, Russia
Author to whom correspondence should be addressed.
Received: 8 April 2015 / Revised: 22 April 2015 / Accepted: 23 April 2015 / Published: 27 April 2015
(This article belongs to the Special Issue New Frontiers in Plasmonics and Metamaterials)
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We consider a disordered quantum metamaterial formed by an array of superconducting flux qubits coupled to microwave photons in a cavity. We map the system on the Tavis-Cummings model accounting for the disorder in frequencies of the qubits. The complex transmittance is calculated with the parameters taken from state-of-the-art experiments. We demonstrate that photon phase shift measurements allow to distinguish individual resonances in the metamaterial with up to 100 qubits, in spite of the decoherence spectral width being remarkably larger than the effective coupling constant. Our simulations are in agreement with the results of the recently reported experiment. View Full-Text
Keywords: quantum metamaterial; superconducting qubits; cavity QED; simulation quantum metamaterial; superconducting qubits; cavity QED; simulation

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Shapiro, D.S.; Macha, P.; Rubtsov, A.N.; Ustinov, A.V. Dispersive Response of a Disordered Superconducting Quantum Metamaterial. Photonics 2015, 2, 449-458.

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