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. 2023 Jan 5;12(1):165–166. doi: 10.1515/nanoph-2022-0795

Erratum to: Gauge-independent emission spectra and quantum correlations in the ultrastrong coupling regime of open system cavity-QED

Will Salmon 1, Chris Gustin 1,2, Alessio Settineri 3, Omar Di Stefano 3, David Zueco 4,5, Salvatore Savasta 3,6, Franco Nori 6,7, Stephen Hughes 1,
PMCID: PMC11614348  PMID: 39633640

After the publication of our paper [1], the authors found that Figure 5(c) was using an incorrect data file, which has been corrected here.

Figure 5:

Figure 5:

The computed cavity spectra using the dipole gauge (left) and Coulomb gauge (right), with a flat DOS [κ (ω) = κ, panels (a, c)] and an Ohmic DOS [κ (ω) = κω/ω c , panels (b, d)] using the generalized master equation [see Eqs. (A9)–(A10) in Appendix A]. In both cases, the effect of the gauge correction (solid lines versus dashed lines) is dramatic. We use the same parameters as in Figure 2 of the main text, with incoherent driving, and parameters η = 0.5 and κ = 0.25 g. Notably, in all cases, regardless of the spectral function, the corrected dipole gauge and corrected Coulomb gauge results are identical.

Footnotes

Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

Research funding: We acknowledge funding from the Canadian Foundation for Innovation and the Natural Sciences and Engineering Research Council of Canada. F.N. is supported in part by: Nippon Telegraph and Telephone Corporation (NTT) Research, the Japan Science and Technology Agency (JST) [via the Quantum Leap Flagship Program (Q-LEAP) program, the Moonshot R&D Grant Number JPMJMS2061, and the Centers of Research Excellence in Science and Technology (CREST) Grant No. JPMJCR1676], the Japan Society for the Promotion of Science (JSPS) [via the Grants-in-Aid for Scientific Research (KAKENHI) Grant No. JP20H00134 and the JSPS–RFBR Grant No. JPJSBP120194828], the Army Research Office (ARO) (Grant No. W911NF-18-1-0358), the Asian Office of Aerospace Research and Development (AOARD) (via Grant No. FA2386-20-1-4069), and the Foundational Questions Institute Fund (FQXi) via Grant No. FQXi-IAF19-06. S.S. acknowledges the Army Research Office (ARO) (Grant No. W911NF1910065).

Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Contributor Information

Will Salmon, Email: will.salmon@queensu.ca.

Chris Gustin, Email: cgustin@stanford.edu.

Stephen Hughes, Email: shughes@queensu.ca.

Reference

  • [1].Salmon W., Gustin C., Settineri A., et al. Gauge-independent emission spectra and quantum correlations in the ultrastrong coupling regime of open system cavity-QED. Nanophotonics. 2022;11:1573–1590. doi: 10.1515/nanoph-2021-0718. [DOI] [Google Scholar]

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