Fisher information and fluctuations in quantum gas systems

F. Pennini and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2025, vol. 675, issue C

Abstract: We revisit and synthesize the connection between Fisher information and thermodynamic fluctuations in quantum gases, focusing on the canonical and grand canonical ensembles. Building on foundational results, we compute and analyze the behavior of Fisher information in both Bose and Fermi gases, with particular attention to its scaling near condensation temperature Tc and its sensitivity to finite-size effects. Our study clarifies how Fisher information relates to thermodynamic response functions and provides explicit examples demonstrating its role as a probe of fluctuations and coherence in quantum many-body systems. While these connections are known in the literature, we aim to present a self-contained and pedagogical treatment, supplemented with calculations that highlight how Fisher information can serve as an accessible diagnostic in the study of critical phenomena and finite-temperature effects.

Keywords: Fisher information; Fluctuations; Quantum gases (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004315

DOI: 10.1016/j.physa.2025.130779

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