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Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror

Publication ,  Journal Article
Fang, YLL; Baranger, HU
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
May 22, 2015

We study two-level systems (2LS) coupled at different points to a one-dimensional waveguide in which one end is open and the other is either open (infinite waveguide) or closed by a mirror (semi-infinite). Upon injection of two photons (corresponding to weak coherent driving), the resonance fluorescence and photon correlations are shaped by the effective qubit transition frequencies and decay rates, which are substantially modified by interference effects. In contrast to the well-known result in an infinite waveguide, photons reflected by a single 2LS coupled to a semi-infinite waveguide are initially bunched, a result that can be simply explained by stimulated emission. As the number of 2LS increases (up to 10 are considered here), rapid oscillations build up in the correlations that persist for a very long time. For instance, when the incoming photons are slightly detuned, the transmitted photons in the infinite waveguide are highly antibunched. On the other hand, upon resonant driving, incoherently reflected photons are mostly distributed within the photonic band gap and several sharp side peaks. These features can be explained by considering the poles of the single-particle Green function in the Markovian regime combined with the time delay. Our calculation is not restricted to the Markovian regime, and we obtain several fully non-Markovian results. We show that a single 2LS in a semi-infinite waveguide can not be decoupled by placing it at the node of the photonic field, in contrast to recent results in the Markovian regime. Our results illustrate the complexities that ensue when several qubits are strongly coupled to a bus (the waveguide) as might happen in quantum information processing.

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Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

May 22, 2015

Volume

91

Issue

5

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Fang, Y. L. L., & Baranger, H. U. (2015). Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror. Physical Review A - Atomic, Molecular, and Optical Physics, 91(5). https://doi.org/10.1103/PhysRevA.91.053845
Fang, Y. L. L., and H. U. Baranger. “Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror.” Physical Review A - Atomic, Molecular, and Optical Physics 91, no. 5 (May 22, 2015). https://doi.org/10.1103/PhysRevA.91.053845.
Fang YLL, Baranger HU. Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror. Physical Review A - Atomic, Molecular, and Optical Physics. 2015 May 22;91(5).
Fang, Y. L. L., and H. U. Baranger. “Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 91, no. 5, May 2015. Scopus, doi:10.1103/PhysRevA.91.053845.
Fang YLL, Baranger HU. Waveguide QED: Power spectra and correlations of two photons scattered off multiple distant qubits and a mirror. Physical Review A - Atomic, Molecular, and Optical Physics. 2015 May 22;91(5).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

May 22, 2015

Volume

91

Issue

5

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences