Decoherent histories with(out) objectivity in a (broken) apparatus

• URL: http://arxiv.org/abs/2508.16482v1
• Date: Fri, 22 Aug 2025 15:53:26 GMT
• Title: Decoherent histories with(out) objectivity in a (broken) apparatus
• Abstract summary: We characterize monitored quantum dynamics in a solvable model exhibiting a phase transition between a measurement apparatus and a scrambler.<n>We show that approximate decoherent histories emerge in both phases with respect to a coarse-grained extensive observable.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We characterize monitored quantum dynamics in a solvable model exhibiting a phase transition between a measurement apparatus and a scrambler. We show that approximate decoherent histories emerge in both phases with respect to a coarse-grained extensive observable. However, the apparatus phase, where quantum Darwinism emerges, is distinguished by the non-ergodicity of the histories and their correlation with the measured qubit, which selects an ensemble of preferred pointer states. Our results demonstrate a clear distinction between two notion of classicality, decoherent histories and environment-induced decoherence.

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