Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet

Quantum measurement is a dynamical process involving an apparatus coupled to a test system. The ideal measurement of the z-component of a spin-12(sz=±12) has been modeled by the Curie–Weiss model for quantum measurement. Recently, the model was generalized to higher spins, and its thermodynamics wer...

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Main Author: Theodorus Maria Nieuwenhuizen
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-07-01
Series:Frontiers in Quantum Science and Technology
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Online Access:https://www.frontiersin.org/articles/10.3389/frqst.2025.1603372/full
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author Theodorus Maria Nieuwenhuizen
author_facet Theodorus Maria Nieuwenhuizen
author_sort Theodorus Maria Nieuwenhuizen
collection DOAJ
description Quantum measurement is a dynamical process involving an apparatus coupled to a test system. The ideal measurement of the z-component of a spin-12(sz=±12) has been modeled by the Curie–Weiss model for quantum measurement. Recently, the model was generalized to higher spins, and its thermodynamics were solved. Here, the dynamics are considered. To this end, the dynamics for the spin-12 case are cast in general notation. The dynamics of the measurement of the z-component of a spin-1 (sz=0,±1) are solved in detail and evaluated numerically. The energy costs of the measurement, which are macroscopic, are evaluated. The generalization to higher spin is straightforward.
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publisher Frontiers Media S.A.
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series Frontiers in Quantum Science and Technology
spelling doaj-art-221d1cf01b974742a8f093d3f05582fe2025-08-20T03:12:31ZengFrontiers Media S.A.Frontiers in Quantum Science and Technology2813-21812025-07-01410.3389/frqst.2025.16033721603372Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnetTheodorus Maria NieuwenhuizenQuantum measurement is a dynamical process involving an apparatus coupled to a test system. The ideal measurement of the z-component of a spin-12(sz=±12) has been modeled by the Curie–Weiss model for quantum measurement. Recently, the model was generalized to higher spins, and its thermodynamics were solved. Here, the dynamics are considered. To this end, the dynamics for the spin-12 case are cast in general notation. The dynamics of the measurement of the z-component of a spin-1 (sz=0,±1) are solved in detail and evaluated numerically. The energy costs of the measurement, which are macroscopic, are evaluated. The generalization to higher spin is straightforward.https://www.frontiersin.org/articles/10.3389/frqst.2025.1603372/fullideal quantum measurementdynamicsCurie–Weiss modelhigher spinexact solution
spellingShingle Theodorus Maria Nieuwenhuizen
Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
Frontiers in Quantum Science and Technology
ideal quantum measurement
dynamics
Curie–Weiss model
higher spin
exact solution
title Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
title_full Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
title_fullStr Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
title_full_unstemmed Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
title_short Dynamics of the ideal quantum measurement of a spin-1 with a Curie–Weiss magnet
title_sort dynamics of the ideal quantum measurement of a spin 1 with a curie weiss magnet
topic ideal quantum measurement
dynamics
Curie–Weiss model
higher spin
exact solution
url https://www.frontiersin.org/articles/10.3389/frqst.2025.1603372/full
work_keys_str_mv AT theodorusmarianieuwenhuizen dynamicsoftheidealquantummeasurementofaspin1withacurieweissmagnet