Higher-order mean-field theory of chiral waveguide QED

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Kasper Kusmierek
  • Sahand Mahmoodian
  • Martin Cordier
  • Jakob Hinney
  • Arno Rauschenbeutel
  • Max Schemmer
  • Philipp Schneeweiss
  • Jürgen Volz
  • Klemens Hammerer

Research Organisations

External Research Organisations

  • Humboldt-Universität zu Berlin
  • Columbia University
  • University of Sydney
  • TU Wien (TUW)
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Details

Original languageEnglish
Article number041
Number of pages26
JournalSciPost Physics
Volume6
Issue number2
Publication statusPublished - 7 Jun 2023

Abstract

Waveguide QED with cold atoms provides a potent platform for the study of non-equilibrium, many-body, and open-system quantum dynamics. Even with weak coupling and strong photon loss, the collective enhancement of light-atom interactions leads to strong correlations of photons arising in transmission, as shown in recent experiments. Here we apply an improved mean-field theory based on higher-order cumulant expansions to describe the experimentally relevant, but theoretically elusive, regime of weak coupling and strong driving of large ensembles. We determine the transmitted power, squeezing spectra and the degree of second-order coherence, and systematically check the convergence of the results by comparing expansions that truncate cumulants of few-particle correlations at increasing order. This reveals the important role of many-body and long-range correlations between atoms in steady state. Our approach allows to quantify the trade-off between anti-bunching and output power in previously inaccessible parameter regimes. Calculated squeezing spectra show good agreement with measured data, as we present here.

Keywords

    quant-ph, physics.atom-ph

ASJC Scopus subject areas

Cite this

Higher-order mean-field theory of chiral waveguide QED. / Kusmierek, Kasper; Mahmoodian, Sahand; Cordier, Martin et al.
In: SciPost Physics, Vol. 6, No. 2, 041, 07.06.2023.

Research output: Contribution to journalArticleResearchpeer review

Kusmierek, K, Mahmoodian, S, Cordier, M, Hinney, J, Rauschenbeutel, A, Schemmer, M, Schneeweiss, P, Volz, J & Hammerer, K 2023, 'Higher-order mean-field theory of chiral waveguide QED', SciPost Physics, vol. 6, no. 2, 041. https://doi.org/10.48550/arXiv.2207.10439, https://doi.org/10.21468/SciPostPhysCore.6.2.041
Kusmierek, K., Mahmoodian, S., Cordier, M., Hinney, J., Rauschenbeutel, A., Schemmer, M., Schneeweiss, P., Volz, J., & Hammerer, K. (2023). Higher-order mean-field theory of chiral waveguide QED. SciPost Physics, 6(2), Article 041. https://doi.org/10.48550/arXiv.2207.10439, https://doi.org/10.21468/SciPostPhysCore.6.2.041
Kusmierek K, Mahmoodian S, Cordier M, Hinney J, Rauschenbeutel A, Schemmer M et al. Higher-order mean-field theory of chiral waveguide QED. SciPost Physics. 2023 Jun 7;6(2):041. doi: 10.48550/arXiv.2207.10439, 10.21468/SciPostPhysCore.6.2.041
Kusmierek, Kasper ; Mahmoodian, Sahand ; Cordier, Martin et al. / Higher-order mean-field theory of chiral waveguide QED. In: SciPost Physics. 2023 ; Vol. 6, No. 2.
Download
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title = "Higher-order mean-field theory of chiral waveguide QED",
abstract = "Waveguide QED with cold atoms provides a potent platform for the study of non-equilibrium, many-body, and open-system quantum dynamics. Even with weak coupling and strong photon loss, the collective enhancement of light-atom interactions leads to strong correlations of photons arising in transmission, as shown in recent experiments. Here we apply an improved mean-field theory based on higher-order cumulant expansions to describe the experimentally relevant, but theoretically elusive, regime of weak coupling and strong driving of large ensembles. We determine the transmitted power, squeezing spectra and the degree of second-order coherence, and systematically check the convergence of the results by comparing expansions that truncate cumulants of few-particle correlations at increasing order. This reveals the important role of many-body and long-range correlations between atoms in steady state. Our approach allows to quantify the trade-off between anti-bunching and output power in previously inaccessible parameter regimes. Calculated squeezing spectra show good agreement with measured data, as we present here.",
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