Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
| Autor: | Ricardo Puebla, Simone Felicetti, Obinna Abah, Louis Garbe |
|---|---|
| Přispěvatelé: | Austrian Academy of Sciences, Austrian Science Fund, European Commission, Engineering and Physical Sciences Research Council (UK), Newcastle University |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum critical phenomena
Paper quantum phase transitions Quantum Physics Physics and Astronomy (miscellaneous) Condensed Matter - Mesoscale and Nanoscale Physics Materials Science (miscellaneous) Kibble–Zurek mechanism quantum metrology FOS: Physical sciences Quantum metrology Quantum phase transitions Atomic and Molecular Physics and Optics Fully-connected models Mesoscale and Nanoscale Physics (cond-mat.mes-hall) quantum critical phenomena fully-connected models Electrical and Electronic Engineering Quantum Physics (quant-ph) |
| Zdroj: | Garbe, L, Abah, O, Felicetti, S & Puebla, R 2022, ' Critical quantum metrology with fully-connected models: from Heisenberg to Kibble–Zurek scaling ', Quantum Science and Technology, vol. 7, no. 3, 035010 . https://doi.org/10.1088/2058-9565/ac6ca5 |
| DOI: | 10.1088/2058-9565/ac6ca5 |
| Popis: | 41 pags., 10 figs., 7 apps. Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum mechanics, in the limit of large probe number and long measurement time. Due to the critical slowing down, the protocol duration time is of utmost relevance in critical quantum metrology. However, how the long-time limit is reached remains in general an open question. So far, only two dichotomic approaches have been considered, based on either static or dynamical properties of critical quantum systems. Here, we provide a comprehensive analysis of the scaling of the quantum Fisher information for different families of protocols that create a continuous connection between static and dynamical approaches. In particular, we consider fully-connected models, a broad class of quantum critical systems of high experimental relevance. Our analysis unveils the existence of universal precision-scaling regimes. These regimes remain valid even for finite-time protocols and finite-size systems. We also frame these results in a general theoretical perspective, by deriving a precision bound for arbitrary time-dependent quadratic Hamiltonians. This work was supported by the Austrian Academy of Sciences (ÖAW) and by the Austrian Science Fund (FWF) through Grant No. P32299 (PHONED). RP acknowledges support from the European Union's Horizon 2020 FET-Open Project SuperQuLAN (899354). OA acknowledges support from the UK EPSRC EP/S02994X/1 and Newcastle University (Newcastle University Academic Track fellowship) |
| Databáze: | OpenAIRE |
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