Critical quantum thermometry and its feasibility in spin systems

In this work, we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions. We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensit...

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Main Authors: Enes Aybar, Artur Niezgoda, Safoura S. Mirkhalaf, Morgan W. Mitchell, Daniel Benedicto Orenes, Emilia Witkowska
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-09-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-09-19-808/pdf/
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author Enes Aybar
Artur Niezgoda
Safoura S. Mirkhalaf
Morgan W. Mitchell
Daniel Benedicto Orenes
Emilia Witkowska
author_facet Enes Aybar
Artur Niezgoda
Safoura S. Mirkhalaf
Morgan W. Mitchell
Daniel Benedicto Orenes
Emilia Witkowska
author_sort Enes Aybar
collection DOAJ
description In this work, we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions. We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points. We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field. Our results confirm finite-size scaling properties of the QFI. Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.
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spelling doaj.art-806edef9a6ce4852a750c5a0d4f9bcc72022-12-22T04:30:26ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-09-01680810.22331/q-2022-09-19-80810.22331/q-2022-09-19-808Critical quantum thermometry and its feasibility in spin systemsEnes AybarArtur NiezgodaSafoura S. MirkhalafMorgan W. MitchellDaniel Benedicto OrenesEmilia WitkowskaIn this work, we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions. We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points. We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field. Our results confirm finite-size scaling properties of the QFI. Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.https://quantum-journal.org/papers/q-2022-09-19-808/pdf/
spellingShingle Enes Aybar
Artur Niezgoda
Safoura S. Mirkhalaf
Morgan W. Mitchell
Daniel Benedicto Orenes
Emilia Witkowska
Critical quantum thermometry and its feasibility in spin systems
Quantum
title Critical quantum thermometry and its feasibility in spin systems
title_full Critical quantum thermometry and its feasibility in spin systems
title_fullStr Critical quantum thermometry and its feasibility in spin systems
title_full_unstemmed Critical quantum thermometry and its feasibility in spin systems
title_short Critical quantum thermometry and its feasibility in spin systems
title_sort critical quantum thermometry and its feasibility in spin systems
url https://quantum-journal.org/papers/q-2022-09-19-808/pdf/
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AT morganwmitchell criticalquantumthermometryanditsfeasibilityinspinsystems
AT danielbenedictoorenes criticalquantumthermometryanditsfeasibilityinspinsystems
AT emiliawitkowska criticalquantumthermometryanditsfeasibilityinspinsystems