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

• URL: http://arxiv.org/abs/2603.07153v1
• Date: Sat, 07 Mar 2026 11:29:32 GMT
• Title: Dynamics of ideal quantum measurement of a spin 1 with a Curie-Weiss magnet
• Abstract summary: Ideal measurement of a spin-$frac12$ ($s_z=pmfrac12$) has been modeled by the Curie-Weiss model for quantum measurement.<n>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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: 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.

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