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The von Neumann entropy and quantum statistical features of a degenerate parametric amplifier system

Yang Yang, Li-Li Xu, Zong-Zhen Gao and Xiang-Guo Meng

Physica A: Statistical Mechanics and its Applications, 2025, vol. 678, issue C

Abstract: Using the theory of partition function and the operator ordering method, we obtain the normalized density operator that describes the degenerate parametric amplifier system, and present its theoretical generation scheme. Also, we analytically and numerically investigate the quantum statistical properties and von Neumann entropy. It is found that the frequency of signal light can weaken the nonclassicality and the von Neumann entropy of the new state, however the interaction between light and medium can enhance them. This work provides a theoretical basis for the measurement and application of quantum entropy in quantum information.

Keywords: Degenerate parametric amplifier system; Squeezed thermal state; von Neumann entropy; Quantum statistical feature; Operator ordering method (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:678:y:2025:i:c:s0378437125006065

DOI: 10.1016/j.physa.2025.130954

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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