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Correction

Correction: Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons. Atoms 2023, 11, 3

by
Luis Fernando Cárdenas-Castillo
1 and
Arturo Camacho-Guardian
2,*
1
Facultad de Ciencias, Universidad Nacional de Ingeniería, Lima 15333, Peru
2
Departamento de Física Química, Instituto de Física, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico
*
Author to whom correspondence should be addressed.
Atoms 2023, 11(11), 143; https://doi.org/10.3390/atoms11110143
Submission received: 12 October 2023 / Accepted: 24 October 2023 / Published: 7 November 2023
(This article belongs to the Special Issue Recent Trends on Quantum Fluctuations in Ultra-Cold Quantum Gases)
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Versions Notes
The authors wish to make the following corrections to their paper [1].
There is an error in the original publication. In page 3, there is a typo in the definition of the scattering length. The definition should read 1 a 2 D = − 2 m r ϵ B .
In the original publication [1], there is a mistake in Figures 2, 3, 5 and 6 as published. In these figures, we used a different definition for the unit E n than reported in our manuscript. The corrected figures appear below as Figure 2, Figure 3, Figure 5 and Figure 6. This leads to small quantitative differences. All the results and conclusions of the manuscript remain completely valid. This correction was approved by the Academic Editor. The original publication has also been updated.
We thank the authors of Ref. [2]; Yasufumi Nakano, Meera M. Parish, and Jesper Levinsen for making us aware of this point. We are grateful for our discussions with Yasufumi Nakano.

References

  1. Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons. Atoms 2023, 11, 3. [Google Scholar] [CrossRef]
  2. Nakano, Y.; Parish, M.M.; Levinsen, J. Variational approach to the two-dimensional Bose polaron. arXiv 2023, arXiv:2306.17397. [Google Scholar]
Atoms 11 00143 g002
Figure 2. (a) Spectral function of a two-dimensional impurity at zero momentum as a function of ω and α . The coherent excitations (quasiparticle) are situated at the narrow maxima of the spectral function (red regions), whereas the incoherent parts of the spectral function correspond to the white regions at positive energies. (b) Spectral function for fixed α = 2 (red), α = 0.5 (black) and for α = − 2 (blue) and varying ω .
Figure 2. (a) Spectral function of a two-dimensional impurity at zero momentum as a function of ω and α . The coherent excitations (quasiparticle) are situated at the narrow maxima of the spectral function (red regions), whereas the incoherent parts of the spectral function correspond to the white regions at positive energies. (b) Spectral function for fixed α = 2 (red), α = 0.5 (black) and for α = − 2 (blue) and varying ω .
Atoms 11 00143 g002
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Figure 3. Zero-momentum quasiparticle properties of the two-dimensional polaron: (a) Energy E k = 0 , (b) Quasiparticle residue Z k = 0 , (c) Effective mass m k = 0 * / m and (d) Damping rate of the polaron. The red lines correspond to the repulsive branch, whereas the black lines depict the attractive polaron. System parameters are as in Figure 1.
Figure 3. Zero-momentum quasiparticle properties of the two-dimensional polaron: (a) Energy E k = 0 , (b) Quasiparticle residue Z k = 0 , (c) Effective mass m k = 0 * / m and (d) Damping rate of the polaron. The red lines correspond to the repulsive branch, whereas the black lines depict the attractive polaron. System parameters are as in Figure 1.
Atoms 11 00143 g003
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Figure 5. Spectral function for zero-momentum electrons as a function of the cavity detuning δ and ω for Ω / E n = 0.75 , a coupling strength given by the binding energy Ω / | ϵ B | = 1 , and assuming non-interacting excitons g x x = 0 .
Figure 5. Spectral function for zero-momentum electrons as a function of the cavity detuning δ and ω for Ω / E n = 0.75 , a coupling strength given by the binding energy Ω / | ϵ B | = 1 , and assuming non-interacting excitons g x x = 0 .
Atoms 11 00143 g005
Atoms 11 00143 g006
Figure 6. Quasiparticle energy and residue for zero-momentum electrons in the polariton BEC. (a) Energy of the attractive (black) and repulsive polaron (red). (b) Residue for the attractive (black) and repulsive polaron (red). The system parameters are as in Figure 5.
Figure 6. Quasiparticle energy and residue for zero-momentum electrons in the polariton BEC. (a) Energy of the attractive (black) and repulsive polaron (red). (b) Residue for the attractive (black) and repulsive polaron (red). The system parameters are as in Figure 5.
Atoms 11 00143 g006
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MDPI and ACS Style

Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Correction: Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons. Atoms 2023, 11, 3. Atoms 2023, 11, 143. https://doi.org/10.3390/atoms11110143

AMA Style

Cárdenas-Castillo LF, Camacho-Guardian A. Correction: Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons. Atoms 2023, 11, 3. Atoms. 2023; 11(11):143. https://doi.org/10.3390/atoms11110143

Chicago/Turabian Style

Cárdenas-Castillo, Luis Fernando, and Arturo Camacho-Guardian. 2023. "Correction: Cárdenas-Castillo, L.F.; Camacho-Guardian, A. Strongly Interacting Bose Polarons in Two-Dimensional Atomic Gases and Quantum Fluids of Polaritons. Atoms 2023, 11, 3" Atoms 11, no. 11: 143. https://doi.org/10.3390/atoms11110143

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