Repeated temperature measurements in quantum thermodynamics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910095289352192 |
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| author | Gerasimov, N. M. Teretenkov, A. E. |
| author_facet | Gerasimov, N. M. Teretenkov, A. E. |
| contents | In this work, we model the temperature measurement as a transformation of the arbitrary state into the Gibbs state. We start with a 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 above mentioned transformation into the Gibbs state as a special case as well. We derive an analogue of the master equation in the stroboscopic limit of repeated measurements. Then we apply our general approach to temperature measurement. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_14312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Repeated temperature measurements in quantum thermodynamics Gerasimov, N. M. Teretenkov, A. E. Quantum Physics 81P15, 81S22, 81Q15 In this work, we model the temperature measurement as a transformation of the arbitrary state into the Gibbs state. We start with a 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 above mentioned transformation into the Gibbs state as a special case as well. We derive an analogue of the master equation in the stroboscopic limit of repeated measurements. Then we apply our general approach to temperature measurement. |
| title | Repeated temperature measurements in quantum thermodynamics |
| topic | Quantum Physics 81P15, 81S22, 81Q15 |
| url | https://arxiv.org/abs/2504.14312 |