不同耦合强度的N(= 3)量子振子在公共量子场浴中的纠缠和对称结构

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Symmetry-Basel Pub Date : 2023-11-14 DOI:10.3390/sym15112064
Jen-Tsung Hsiang, Bei-Lok Hu
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引用次数: 0

摘要

本文研究了具有不同耦合强度的N个量子振子系统的纠缠结构,这些量子振子都与一个普通的无质量标量量子场线性耦合。本研究有助于描述纠缠域的概念及其对称性特征,有助于理解多体量子系统中不同层次结构之间的相互作用。通过影响泛函导出了量子场对系统的影响,并由密度矩阵演化算子的解得到了相关函数。然后用它们来构造协方差矩阵,这是我们分析这个开放系统中量子纠缠结构的基础。为了使物理特征明确,我们考虑一个由三个量子耦合振荡器组成的系统,这些振荡器放置在具有不同成对耦合的等边三角形的顶点上。我们分析了耦合强度相等(对称)和不相等(非对称)的一个振荡器与另外两个振荡器之间的纠缠。作为物理说明,我们应用这两种不同构型的结果,从量子纠缠的角度来解决宏观量子现象中的一些基本问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Entanglement and Symmetry Structure of N(= 3) Quantum Oscillators with Disparate Coupling Strengths in a Common Quantum Field Bath
In this paper, we study the entanglement structure of a system of N quantum oscillators with distinctive coupling strengths, all linearly coupled to a common massless scalar quantum field. This study is helpful in characterizing the notion of an entanglement domain and its symmetry features, which is useful for understanding the interplay between different levels of structure in many-body quantum systems. The effect of the quantum field on the system is derived via the influence functional and the correlation functions are obtained from the solutions of the evolutionary operator of the reduced density matrix. They are then used to construct the covariance matrix, which forms the basis for our analysis of the structure of quantum entanglement in this open system. To make the physical features explicit, we consider a system of three quantum coupled oscillators placed at the vertices of an equilateral triangle with disparate pairwise couplings. We analyze the entanglement between one oscillator and the other two with equal (symmetric) and unequal (asymmetric) coupling strengths. As a physical illustration, we apply the results for these two different configurations to address some basic issues in macroscopic quantum phenomena from the quantum entanglement perspective.
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来源期刊
Symmetry-Basel
Symmetry-Basel MULTIDISCIPLINARY SCIENCES-
CiteScore
5.40
自引率
11.10%
发文量
2276
审稿时长
14.88 days
期刊介绍: Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.
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