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Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules

by J. Khalouf-Rivera, M. Carvajal, F. Pérez-Bernal

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Miguel Carvajal · Jamil Khalouf-Rivera · Francisco Perez-Bernal
Submission information
Preprint Link: scipost_202107_00045v2  (pdf)
Date accepted: 2021-10-12
Date submitted: 2021-10-05 17:38
Submitted by: Perez-Bernal, Francisco
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Quantum Physics
  • Physical Chemistry
Approaches: Theoretical, Phenomenological


We characterize excited state quantum phase transitions in the two dimensional limit of the vibron model with the quantum fidelity susceptibility, comparing the obtained results with the information provided by the participation ratio. As an application, we locate the eigenstate closest to the barrier to linearity and determine the linear or bent character of the different overtones for particular bending modes of six molecular species. We perform a fit and use the optimized eigenvalues and eigenstates in three cases and make use of recently published results for the other three cases.

Author comments upon resubmission

Having taken into consideration all the remarks and suggested changes submitted by the second referee, in our opinion the article is now ready for publication. We thank the referees for their detailed reading and constructive remarks that helped in improving the manuscript and to the editor for his help during this process..

List of changes

- Page 4. Second paragraph: "explains" has been replaced by "is explained"
- Page 5. Opening of Section 2. We have included the sentence "This section includes the theory of the 2DVM in an abridged form, the interested reader can find a more complete description of the model in Refs. [28,29, 32–34]."
- We have replaced "the first-order Casimir" with "the first-order Casimir or invariant operator."
- Page 7. Opening sentence of Section 3. We have replaced "In order to overcome the PR limitations, ..." with "In order to overcome the PR limitations discussed in Sect. 2 and in our previous publication [34], ..."
- Page 7. Second paragraph of Sect. 3. We have replaced "It therefore allows to assign excited states" with "It therefore allows us to assign excited states."
- Page 12. First sentence. We have replaced "specially" with "especially."
- Page 15. Second sentence. We have replaced "nonrigid bending vibrational modes of other three molecular species" with "nonrigid bending vibrational modes of three other molecular species."

Published as SciPost Phys. 12, 002 (2022)

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