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Abstract <p>In this work, we model the temperature measurement as transformation of the arbitrary state into Gibbs state. We start with general formalism of ansatz-posteriors, which includes many usual models of posterior states due to measurement or state preparation. On the one hand, it contains models of selective and non-selective measurements posteriors as special cases, which allows us to consider it as a generalization of usual measurement models. On the other hand, it contains the abovementioned transformation into the Gibbs state as a special case as well. We derive an analog of the master equation in the stroboscopic limit of repeated measurements. Then we apply our general approach to temperature measurement.</p>

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Repeated Temperature Measurements in Quantum Thermodynamics

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • N. M. Gerasimov,
  • A. E. Teretenkov

摘要

Abstract

In this work, we model the temperature measurement as transformation of the arbitrary state into Gibbs state. We start with general formalism of ansatz-posteriors, which includes many usual models of posterior states due to measurement or state preparation. On the one hand, it contains models of selective and non-selective measurements posteriors as special cases, which allows us to consider it as a generalization of usual measurement models. On the other hand, it contains the abovementioned transformation into the Gibbs state as a special case as well. We derive an analog of the master equation in the stroboscopic limit of repeated measurements. Then we apply our general approach to temperature measurement.