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Precision magnetometry exploiting excited state quantum phase transitions
by Qian Wang, Ugo Marzolino
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Submission summary
| Authors (as registered SciPost users): | Ugo Marzolino |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2306.01126v4 (pdf) |
| Date submitted: | 2024-03-05 11:28 |
| Submitted by: | Marzolino, Ugo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Critical behaviour in phase transitions is a resource for enhanced precision metrology. The reason is that the function, known as Fisher information, is superextensive at critical points, and, at the same time, quantifies performances of metrological protocols. Therefore, preparing metrological probes at phase transitions provides enhanced precision in measuring the transition control parameter. We focus on the Lipkin-Meshkov-Glick model that exhibits excited state quantum phase transitions at different magnetic fields. Resting on the model spectral properties, we show broad peaks of the Fisher information, and propose efficient schemes for precision magnetometry. The Lipkin-Meshkov-Glick model was first introduced for superconductivity and for nuclear systems, and recently realised in several condensed matter platforms. The above metrological schemes can be also exploited to measure microscopic properties of systems able to simulate the Lipkin-Meshkov-Glick model.
Author comments upon resubmission
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 2) on 2024-3-13 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2306.01126v4, delivered 2024-03-13, doi: 10.21468/SciPost.Report.8702
Report
The authors have made some changes to the manuscript, amending some of the claims which I considered problematic, and improved the overall clarity of the paper. There are, however, some points which I still considered unresolved, and that need adressed before I can recommand this paper for publication (see attached report)
Requested changes
Plot F/N^2 instead of F in Fig.4, in order to determine whether superextensivity can be related to the ESQPT. Amend some of the claims (see Report).
Author: Ugo Marzolino on 2024-07-08 [id 4606]
(in reply to Report 1 on 2024-03-13)Dear editor and reviewer,
we understand the referee's issue, and therefore we have amended the claims according to the referee's suggestions. We also drawn new plots as suggested by the referee concerning the scaling of the quantum Fisher information. We do not enter the question whether these scalings are signature of the excited state quantum phase transition, as this is not the scope of our manuscript. Moreover, we do not think that this discussion is fundamental for presenting out results in the field of quantum metrology, as already acknowledged by the referee. For these reasons and in order to not weight down the main discussion, we commented on the new figures in appendix B and we amended the claims as suggested by the referee. Further details are described in the attached file.
We think that we have addressed the criticisms of the referee, and that the new resubmitted manuscript is suitable for publication.
Yours sincerely,
Qian Wang and Ugo Marzolino
Attachment:
answer_to_the_third_referee_report.pdf