Fluctuation thermometry of an atom-resolved quantum gas: Beyond the fluctuation-dissipation theorem

Fuente: arXiv
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Main Authors: Dixmerias, Maxime, Verstraten, Joris, Daix, Cyprien, Peaudecerf, Bruno, de Jongh, Tim, Yefsah, Tarik
Format: Preprint
Published: 2025
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author Dixmerias, Maxime
Verstraten, Joris
Daix, Cyprien
Peaudecerf, Bruno
de Jongh, Tim
Yefsah, Tarik
author_facet Dixmerias, Maxime
Verstraten, Joris
Daix, Cyprien
Peaudecerf, Bruno
de Jongh, Tim
Yefsah, Tarik
contents Thermometry is essential for studying many-body physics with ultracold atoms. Accurately measuring low temperatures in these systems, however, remains a significant challenge due to the absence of a universal thermometer. Most widely applicable methods, such as fitting of in-situ density profiles or standard fluctuation thermometry, are limited by the requirement of global thermal equilibrium and inapplicability to homogeneous systems. In this work, we introduce a novel in-situ thermometry for quantum gases, leveraging single-atom resolved measurements via quantum gas microscopy, and demonstrate it on an ideal Fermi gas. By analyzing number fluctuations in probe volumes with approximately one atom on average, we extract both global and local temperatures over a broad dynamic range. Unlike traditional fluctuation thermometry, our method does not rely on the fluctuation-dissipation theorem and is based instead on the exact relationship between number fluctuations and density-density correlations. In the low-temperature regime, it allows us to observe significant deviations from fluctuation-dissipation predictions, uncovering sub-extensive fluctuations. Our method is applicable to systems with arbitrary trapping potentials, requiring neither precise trap calibration nor global thermal equilibrium. This nearly universal thermometer for quantum gases overcomes key limitations of existing techniques, paving the way for more accurate and versatile temperature measurements in ultracold quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05132
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fluctuation thermometry of an atom-resolved quantum gas: Beyond the fluctuation-dissipation theorem
Dixmerias, Maxime
Verstraten, Joris
Daix, Cyprien
Peaudecerf, Bruno
de Jongh, Tim
Yefsah, Tarik
Quantum Gases
Statistical Mechanics
Atomic Physics
Quantum Physics
Thermometry is essential for studying many-body physics with ultracold atoms. Accurately measuring low temperatures in these systems, however, remains a significant challenge due to the absence of a universal thermometer. Most widely applicable methods, such as fitting of in-situ density profiles or standard fluctuation thermometry, are limited by the requirement of global thermal equilibrium and inapplicability to homogeneous systems. In this work, we introduce a novel in-situ thermometry for quantum gases, leveraging single-atom resolved measurements via quantum gas microscopy, and demonstrate it on an ideal Fermi gas. By analyzing number fluctuations in probe volumes with approximately one atom on average, we extract both global and local temperatures over a broad dynamic range. Unlike traditional fluctuation thermometry, our method does not rely on the fluctuation-dissipation theorem and is based instead on the exact relationship between number fluctuations and density-density correlations. In the low-temperature regime, it allows us to observe significant deviations from fluctuation-dissipation predictions, uncovering sub-extensive fluctuations. Our method is applicable to systems with arbitrary trapping potentials, requiring neither precise trap calibration nor global thermal equilibrium. This nearly universal thermometer for quantum gases overcomes key limitations of existing techniques, paving the way for more accurate and versatile temperature measurements in ultracold quantum systems.
title Fluctuation thermometry of an atom-resolved quantum gas: Beyond the fluctuation-dissipation theorem
topic Quantum Gases
Statistical Mechanics
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2502.05132