SciPost Submission Page
Precision magnetometry exploiting excited state quantum phase transitions
by Qian Wang, Ugo Marzolino
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 | |
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| 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
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).