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SU(1,1) 相干态下广义耗散系统的非广延性效应分析。

Analysis of the effects of nonextensivity for a generalized dissipative system in the SU(1,1) coherent states.

作者信息

Choi Jeong Ryeol

机构信息

Department of Nanoengineering, Kyonggi University, Yeongtong-gu, Suwon, Gyeonggi-do, 16227, Republic of Korea.

出版信息

Sci Rep. 2022 Jan 31;12(1):1622. doi: 10.1038/s41598-022-05292-x.

DOI:10.1038/s41598-022-05292-x
PMID:35102156
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8803926/
Abstract

The characteristics of nonextensivity for a general quantum dissipative oscillatory system in the SU(1,1) coherent states are investigated using the invariant operator method. We consider a deformed Caldirola-Kanai oscillator represented in terms of a parameter q which is a measure of the degree of nonextensivity. The nonextensivity effects on the parametric evolution of the SU(1,1) coherent states are elucidated. We compare our results with those of previous researches and address the advantage of our methodology which adopts the linear invariant operator. In particular, the nonextensive behaviors associated with the fluctuations of canonical variables and the dissipation of quantum energy are analyzed in detail regarding their dependence on q. The properties of SU(1,1) coherent states that we adopt here can be utilized in quantum-information processes such as cloning, swapping, and teleportation of state information.

摘要

运用不变算符方法研究了SU(1,1)相干态中一般量子耗散振荡系统的非广延特性。我们考虑一个用参数q表示的变形卡尔迪罗拉 - 卡奈振荡器，参数q是衡量非广延程度的量。阐明了非广延性对SU(1,1)相干态参数演化的影响。我们将结果与先前的研究进行比较，并阐述了我们采用线性不变算符的方法的优势。特别地，详细分析了与正则变量涨落和量子能量耗散相关的非广延行为对q的依赖性。我们这里采用的SU(1,1)相干态的性质可用于量子信息过程，如态信息的克隆、交换和隐形传态。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/365d41455cd4/41598_2022_5292_Fig9_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/5abc66edefaf/41598_2022_5292_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/365d41455cd4/41598_2022_5292_Fig9_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/130033cae13e/41598_2022_5292_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/d2d2b5778f60/41598_2022_5292_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/e95b8f7fc29a/41598_2022_5292_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/49d474c9036a/41598_2022_5292_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/5abc66edefaf/41598_2022_5292_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a1a/8803926/365d41455cd4/41598_2022_5292_Fig9_HTML.jpg

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