Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms

Lalumiere, K., Sanders, B. C., Van Loo, A. F., Fedorov, A., Wallraff, A. and Blais, A. (2013) Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms. Physical Review A - Atomic, Molecular, and Optical Physics, 88 4: . doi:10.1103/PhysRevA.88.043806

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Author Lalumiere, K.
Sanders, B. C.
Van Loo, A. F.
Fedorov, A.
Wallraff, A.
Blais, A.
Title Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
Publication date 2013-10-07
Sub-type Article (original research)
DOI 10.1103/PhysRevA.88.043806
Open Access Status File (Publisher version)
Volume 88
Issue 4
Total pages 15
Place of publication College Park, MD United States
Publisher American Physical Society
Language eng
Subject 3107 Atomic and Molecular Physics, and Optics
Abstract We study the collective effects that emerge in waveguide quantum electrodynamics where several (artificial) atoms are coupled to a one-dimensional superconducting transmission line. Since single microwave photons can travel without loss for a long distance along the line, real and virtual photons emitted by one atom can be reabsorbed or scattered by a second atom. Depending on the distance between the atoms, this collective effect can lead to super- and subradiance or to a coherent exchange-type interaction between the atoms. Changing the artificial atoms transition frequencies, something which can be easily done with superconducting qubits (two levels artificial atoms), is equivalent to changing the atom-atom separation and thereby opens the possibility to study the characteristics of these collective effects. To study this waveguide quantum electrodynamics system, we extend previous work and present an effective master equation valid for an ensemble of inhomogeneous atoms driven by a coherent state. Using input-output theory, we compute analytically and numerically the elastic and inelastic scattering and show how these quantities reveal information about collective effects. These theoretical results are compatible with recent experimental results using transmon qubits coupled to a superconducting one-dimensional transmission line [van Loo (unpublished)].
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Q-Index Status Confirmed Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 65 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 01 Apr 2014, 01:01:43 EST by Arkady Fedorov on behalf of School of Mathematics & Physics