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Observation of a collective mode of an array of transmon qubits


Arrays of transmon qubits coupled to a λ/2 superconducting coplanar waveguide resonator have been studied by microwave spectroscopy. The emergence of a collective mode has been discovered for a cluster of N > 5 qubits, whose coupling constant to the electromagnetic field in the resonator is √N times greater compared to a single qubit. In addition, the emergence of collective multiphoton transitions exciting higher levels of a qubit cluster has been demonstrated and the interaction of an individual qubit with such a cluster has been investigated.

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  1. J. Clarke and F. K. Wilhelm, Nature 453, 1031 (2008).

    ADS  Article  Google Scholar 

  2. T. M. Y. Koch, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 76, 042319 (2007).

    ADS  Article  Google Scholar 

  3. P. Macha, G. Oelsner, J.-M. Reiner, M. Marthaler, S. Andre, G. Schon, U. Hubner, H.-G. Meyer, E. Ileichev, and A. V. Ustinov, Nat. Commun. 5, 5146 (2014).

    ADS  Article  Google Scholar 

  4. A. S. Averkin, A. Karpov, K. Shulga, E. Glushkov, N. Abramov, U. Huebner, E. Ileichev, and A. V. Ustinov, Rev. Sci. Instrum. 85, 104702 (2014).

    ADS  Article  Google Scholar 

  5. P. A. Volkov and M. V. Fistul, Phys. Rev. B 89, 054507 (2014).

    ADS  Article  Google Scholar 

  6. R. H. Dicke, Phys. Rev. 93, 99 (1954).

    ADS  Article  Google Scholar 

  7. J. M. Fink, R. Bianchetti, M. Baur, M. Goppl, L. Steffen, S. Filipp, P. J. Leek, A. Blais, and A. Wallraff, Phys. Rev. Lett. 103, 083601 (2009).

    ADS  Article  Google Scholar 

  8. M. Tavis and F. W. Cummings, Phys. Rev. 170, 379 (1968).

    ADS  Article  Google Scholar 

  9. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).

    Article  Google Scholar 

  10. J. Braumuller, J. Cramer, S. Schlor, H. Rotzinger, L. Radtke, A. Lukashenko, P. Yang, S. T. Skacel, S. Probst, M. Marthaler, L. Guo, A. V. Ustinov, and M. Weides, Phys. Rev. B 91, 054523 (2015).

    ADS  Article  Google Scholar 

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Correspondence to K. V. Shulga.

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Original Russian Text © K.V. Shulga, P. Yang, G.P. Fedorov, M.V. Fistul, M. Weides, A.V. Ustinov, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 105, No. 1, pp. 38–42.

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Shulga, K.V., Yang, P., Fedorov, G.P. et al. Observation of a collective mode of an array of transmon qubits. Jetp Lett. 105, 47–50 (2017).

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