Weak-to-Strong Measurement Transition with Thermal Instabilities

Fuente: arXiv
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Autori principali: Lima, Marcos V. S., Vieira, Carlos H. S., da Paz, Irismar G., Dieguez, Pedro R., Marinho, Lucas S.
Natura: Preprint
Pubblicazione: 2026
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author Lima, Marcos V. S.
Vieira, Carlos H. S.
da Paz, Irismar G.
Dieguez, Pedro R.
Marinho, Lucas S.
author_facet Lima, Marcos V. S.
Vieira, Carlos H. S.
da Paz, Irismar G.
Dieguez, Pedro R.
Marinho, Lucas S.
contents Quantum measurement is physically realized through a finite dynamical interaction between a system and a measuring apparatus, giving rise to a continuous transition from weak to strong regimes. While this crossover is well understood under ideal conditions, the combined role of thermal instabilities and pre- and post-selection open dynamics has not been systematically addressed. Here, we develop a general framework to analyze the weak-to-strong measurement transition in the simultaneous presence of environmental decoherence and thermal noise. We model the probe as a thermal Gaussian state, explicitly incorporating temperature-dependent fluctuations in the measuring device, and include open-system evolution of the measured system prior to post-selection. By deriving the apparatus's final state, we show that the measurement statistics are modified in a nontrivial, highly sensitive manner by the temperature regime of the system's thermal instabilities, the probe's thermal properties, and the particular choice of pre- and post-selection. This approach allows us to characterize how thermal effects reshape the weak-value condition and influence the emergence of projective behavior across the full measurement crossover.
format Preprint
id arxiv_https___arxiv_org_abs_2604_28137
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Weak-to-Strong Measurement Transition with Thermal Instabilities
Lima, Marcos V. S.
Vieira, Carlos H. S.
da Paz, Irismar G.
Dieguez, Pedro R.
Marinho, Lucas S.
Quantum Physics
Quantum measurement is physically realized through a finite dynamical interaction between a system and a measuring apparatus, giving rise to a continuous transition from weak to strong regimes. While this crossover is well understood under ideal conditions, the combined role of thermal instabilities and pre- and post-selection open dynamics has not been systematically addressed. Here, we develop a general framework to analyze the weak-to-strong measurement transition in the simultaneous presence of environmental decoherence and thermal noise. We model the probe as a thermal Gaussian state, explicitly incorporating temperature-dependent fluctuations in the measuring device, and include open-system evolution of the measured system prior to post-selection. By deriving the apparatus's final state, we show that the measurement statistics are modified in a nontrivial, highly sensitive manner by the temperature regime of the system's thermal instabilities, the probe's thermal properties, and the particular choice of pre- and post-selection. This approach allows us to characterize how thermal effects reshape the weak-value condition and influence the emergence of projective behavior across the full measurement crossover.
title Weak-to-Strong Measurement Transition with Thermal Instabilities
topic Quantum Physics
url https://arxiv.org/abs/2604.28137