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Photonics 2015, 2(2), 449-458; doi:10.3390/photonics2020449

Dispersive Response of a Disordered Superconducting Quantum Metamaterial

1
Russian Quantum Center, Novaya St. 100, Skolkovo, Moscow region 143025, Russia
2
Kotel'nikov Institute of Radio Engineering and Electronics of the Russian Academie of Sciences, Mokhovaya 11/7, Moscow 125009, Russia
3
Center of Fundamental and Applied Research, N.L. Dukhov All-Russia Institute of Science and Research, Sushchevskaya 22, Moscow 123055, Russia
4
Physikalisches Institut, Karlsruhe Institute of Technology, Karlsruhe D-76128, Germany
5
ARC Centre for Engineered Quantum Systems, University of Queensland, Brisbane,Queensland 4072, Australia
6
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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Abstract

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
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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MDPI and ACS Style

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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