Dynamics of ideal quantum measurement of a spin 1 with a Curie-Weiss magnet
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912951358717952 |
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| author | Nieuwenhuizen, Theodorus Maria |
| author_facet | Nieuwenhuizen, Theodorus Maria |
| contents | Quantum measurement is a dynamical process of an apparatus coupled to a test system. Ideal measurement of the $z$-component of a spin-$\frac{1}{2}$ ($s_z=\pm\frac{1}{2}$) has been modeled by the Curie-Weiss model for quantum measurement. Recently, the model was generalized to higher spin and the thermodynamics was solved. Here the dynamics is considered. To this end, the dynamics for spin-$\frac{1}{2}$ case are cast in general notation. The dynamics of the measurement of the $z$-component of a spin-1 ($s_z=0,\pm 1$) are solved in detail and evaluated numerically. Energy costs of the measurement, which are macroscopic, are evaluated. Generalization to higher spin is straightforward. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07153 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamics of ideal quantum measurement of a spin 1 with a Curie-Weiss magnet Nieuwenhuizen, Theodorus Maria Quantum Physics Other Condensed Matter Quantum measurement is a dynamical process of an apparatus coupled to a test system. Ideal measurement of the $z$-component of a spin-$\frac{1}{2}$ ($s_z=\pm\frac{1}{2}$) has been modeled by the Curie-Weiss model for quantum measurement. Recently, the model was generalized to higher spin and the thermodynamics was solved. Here the dynamics is considered. To this end, the dynamics for spin-$\frac{1}{2}$ case are cast in general notation. The dynamics of the measurement of the $z$-component of a spin-1 ($s_z=0,\pm 1$) are solved in detail and evaluated numerically. Energy costs of the measurement, which are macroscopic, are evaluated. Generalization to higher spin is straightforward. |
| title | Dynamics of ideal quantum measurement of a spin 1 with a Curie-Weiss magnet |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2603.07153 |