Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point

We carefully examine critical metrology and present an improved critical quantum metrology protocol which relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach can lead to an exponential increase of the quantum Fisher in...

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Main Authors: Karol Gietka, Lewis Ruks, Thomas Busch
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-04-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-04-27-700/pdf/
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author Karol Gietka
Lewis Ruks
Thomas Busch
author_facet Karol Gietka
Lewis Ruks
Thomas Busch
author_sort Karol Gietka
collection DOAJ
description We carefully examine critical metrology and present an improved critical quantum metrology protocol which relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach can lead to an exponential increase of the quantum Fisher information in time with respect to existing critical quantum metrology protocols relying on quenching close to the critical point and observing power law behaviour. We demonstrate that the Cramér-Rao bound can be saturated in our protocol through the standard homodyne detection scheme. We explicitly show its advantage using the archetypal setting of the Dicke model and explore a quantum gas coupled to a single-mode cavity field as a potential platform. In this case an additional exponential enhancement of the quantum Fisher information can in practice be observed with the number of atoms $N$ in the cavity, even in the absence of $N$-body coupling terms.
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spelling doaj.art-771c1860364347a7a0d4072007ad24392022-12-22T02:08:58ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-04-01670010.22331/q-2022-04-27-70010.22331/q-2022-04-27-700Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical PointKarol GietkaLewis RuksThomas BuschWe carefully examine critical metrology and present an improved critical quantum metrology protocol which relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach can lead to an exponential increase of the quantum Fisher information in time with respect to existing critical quantum metrology protocols relying on quenching close to the critical point and observing power law behaviour. We demonstrate that the Cramér-Rao bound can be saturated in our protocol through the standard homodyne detection scheme. We explicitly show its advantage using the archetypal setting of the Dicke model and explore a quantum gas coupled to a single-mode cavity field as a potential platform. In this case an additional exponential enhancement of the quantum Fisher information can in practice be observed with the number of atoms $N$ in the cavity, even in the absence of $N$-body coupling terms.https://quantum-journal.org/papers/q-2022-04-27-700/pdf/
spellingShingle Karol Gietka
Lewis Ruks
Thomas Busch
Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
Quantum
title Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
title_full Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
title_fullStr Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
title_full_unstemmed Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
title_short Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
title_sort understanding and improving critical metrology quenching superradiant light matter systems beyond the critical point
url https://quantum-journal.org/papers/q-2022-04-27-700/pdf/
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AT thomasbusch understandingandimprovingcriticalmetrologyquenchingsuperradiantlightmattersystemsbeyondthecriticalpoint