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Tailoring the quantum dynamics of light

The energy levels of a quantum system are determined by the laws of quantum mechanics and the specifics of the physical setting. Light confined to a cavity has energy levels neatly arranged in a “ladder” of equidistant rungs, each rung corresponding to a fixed number of photons. Bretheau et al. devised a way to limit the dynamics to only the lowest few rungs by coupling the system to a qubit, which shifted the energy of one of the higher rungs. When they then drove the system at a frequency corresponding to the distance between the rungs, only the states lower in energy than the shifted state could participate.
Science, this issue p. 776

Abstract

Electromagnetic modes are instrumental in building quantum machines. In this experiment, we introduce a method to manipulate these modes by effectively controlling their phase space. Preventing access to a single energy level, corresponding to a number of photons N, confined the dynamics of the field to levels 0 to N – 1. Under a resonant drive, the level occupation was found to oscillate in time, similarly to an N-level system. Performing a direct Wigner tomography of the field revealed its nonclassical features, including a Schrödinger cat–like state at half period in the evolution. This fine control of the field in its phase space may enable applications in quantum information and metrology.
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Supplementary Material

Summary

Materials and Methods
Supplementary Text
Figs. S1 to S4
References (2632)

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References and Notes

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29
In the initial cool-down, the parameters were fc = 7.8041 GHz, fq = 5.624 GHz, α = 170 MHz, and χ = 5.35 MHz. Although not quantitatively extracted in this run, λ was measured as positive from measurements similar to those in fig. S2, C and D, in the range of a few tens of kHz. Using the formulae from the pure transmon case (14), the Kerr frequency can be estimated as λ = χ2/(4α) = 42 kHz, which is compatible with these measurements.
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Information & Authors

Information

Published In

Science
Volume 348 | Issue 6236
15 May 2015

Submission history

Received: 29 July 2014
Accepted: 3 April 2015
Published in print: 15 May 2015

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Acknowledgments

We thank M. Devoret, Ç. Girit, T. Kontos, Z. Leghtas, V. Manucharyan, M. Mirrahimi, S. Pascazio, the Quantronics Group, J. -M. Raimond, P. Rouchon, S. Dhillon, and J. Viennot. Nanofabrication has been made within the consortium Salle Blanche Paris Centre. This work was supported by the ANR contract ANR-12-JCJC-TIQS and the Qumotel grant Emergences of Ville de Paris. L.B. acknowledges support from Direction Générale de l’Armement.

Authors

Affiliations

L. Bretheau
Laboratoire Pierre Aigrain, Ecole Normale Supérieure–PSL Research University, CNRS, Université Pierre et Marie Curie–Sorbonne Universités, Université Paris Diderot–Sorbonne Paris Cité, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
P. Campagne-Ibarcq
Laboratoire Pierre Aigrain, Ecole Normale Supérieure–PSL Research University, CNRS, Université Pierre et Marie Curie–Sorbonne Universités, Université Paris Diderot–Sorbonne Paris Cité, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
E. Flurin
Laboratoire Pierre Aigrain, Ecole Normale Supérieure–PSL Research University, CNRS, Université Pierre et Marie Curie–Sorbonne Universités, Université Paris Diderot–Sorbonne Paris Cité, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
F. Mallet
Laboratoire Pierre Aigrain, Ecole Normale Supérieure–PSL Research University, CNRS, Université Pierre et Marie Curie–Sorbonne Universités, Université Paris Diderot–Sorbonne Paris Cité, 24 Rue Lhomond, 75231 Paris Cedex 05, France.
Laboratoire Pierre Aigrain, Ecole Normale Supérieure–PSL Research University, CNRS, Université Pierre et Marie Curie–Sorbonne Universités, Université Paris Diderot–Sorbonne Paris Cité, 24 Rue Lhomond, 75231 Paris Cedex 05, France.

Notes

*Corresponding author. E-mail: [email protected]

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