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Wigner Function Analysis of Finite Matter-Radiation Systems

by E. Nahmad-Achar, R. López-Peña, S. Cordero, and O. Castaños

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Submission summary

Authors (as registered SciPost users): Eduardo Nahmad-Achar
Submission information
Preprint Link: scipost_202210_00046v2  (pdf)
Date accepted: 2023-08-11
Date submitted: 2023-02-09 20:05
Submitted by: Nahmad-Achar, Eduardo
Submitted to: SciPost Physics Proceedings
Proceedings issue: 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022)
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Mathematical Physics
  • Quantum Physics
Approach: Theoretical


We show that the behaviour in phase space of the Wigner function associated to the electromagnetic modes carries the information of both, the entanglement properties between matter and field, and the regions in parameter space where quantum phase transitions take place. A finer classification for the continuous phase transitions is obtained through the computation of the surface of minimum fidelity.

Published as SciPost Phys. Proc. 14, 039 (2023)

Author comments upon resubmission

All recommendations from both, the Report and the Comment, have been taken into account.
We thank both reviewers for their careful review and assertive comments.

List of changes


1) x_jk has been explicitly described both, in the caption of Figure 2, and in the text in the beginning of Section 3.

2) k_i has been explained more carefully, as well as the truncation criterion and the calculation of the fidelity between states.

3) The caption of Figure 4 has been expanded for greater clarity.


1) Title of Subsection 2.2 has been changed to “Numerical Quantum Solution”.

2) References have been added for the use of the fidelity criterion in determining quantum phase transitions.

3) A well defined criterion is now given at the end of p.4.

4) The equations on (previous) line 113 have been eliminated.


Three new references were added.

Submission & Refereeing History

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Resubmission scipost_202210_00046v2 on 9 February 2023

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