Version 1
: Received: 28 May 2024 / Approved: 28 May 2024 / Online: 29 May 2024 (07:28:12 CEST)
How to cite:
Monteoliva, D.; Plastino, A.; Plastino, A. R. Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem. Preprints2024, 2024051898. https://doi.org/10.20944/preprints202405.1898.v1
Monteoliva, D.; Plastino, A.; Plastino, A. R. Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem. Preprints 2024, 2024051898. https://doi.org/10.20944/preprints202405.1898.v1
Monteoliva, D.; Plastino, A.; Plastino, A. R. Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem. Preprints2024, 2024051898. https://doi.org/10.20944/preprints202405.1898.v1
APA Style
Monteoliva, D., Plastino, A., & Plastino, A. R. (2024). Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem. Preprints. https://doi.org/10.20944/preprints202405.1898.v1
Chicago/Turabian Style
Monteoliva, D., Angelo Plastino and Angel Ricardo Plastino. 2024 "Intertwining Between Temperature, Amount of Mixture, and Particle Number, in a Paradigmatic Many-Fermion Problem" Preprints. https://doi.org/10.20944/preprints202405.1898.v1
Abstract
In this study, using information theory tools, we investigate the quantum degree of mixedness, particle number fluctuations, and temperature variations in the paradigmatic Lipkin model, focusing on the interplay between these factors in a system of many fermions. Our analysis reveals intriguing dependencies of quantum mixedness on the total fermion number, showcasing distinct behaviors at different temperatures. Notably, we find that the degree of quantum mixedness exhibits a strong dependence on the total fermion number, with varying trends observed across different temperature regimes. Remarkably, this dependence remains unaffected by the strength of the fermion-fermion interaction (if it does not vanish, of course), underscoring the robustness of the observed phenomena. Through comprehensive numerical simulations, we provide illustrative graphs that depict these dependencies, offering valuable insights into the fundamental characteristics of many-fermion systems. Our findings shed light on the intricate dynamics of quantum degree of mixedness and particle number fluctuations in fermionic systems, with potential implications for diverse fields ranging from condensed matter physics to quantum information science.
Keywords
Likpin model; many fermion systems; mixture-degree; finite temperature; SU2 symmetrys
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
