工程应用中通过量子关联的系统演化进展

IF 3.3 3区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-10-14 DOI:10.1142/s0218348x23401874
Ghulam Bary, Waqar Ahmed, Riaz Ahmad, Abha Singh, Sayed M. Eldin, Duohui Huang, Ilyas Khan
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引用次数: 0

摘要

在本文中,我们探讨了孤立物理量子在本征相干影响下的量子相关动力学。我们使用颗粒模型来表征混合系统中的量子相关性,以研究相干混沌分数的数量,并且我们特别使用球形液滴来测量特定相关性。同样,我们在工程应用中研究了相干性对这些量词源演化的影响。特别地,在系统参数和相干率方面对多粒子相关的行为进行了详细的研究和分析,以探索源的内在维度。我们发现,对于所考虑的复杂系统的相同参数,与真实干涉的相关关系表现出轻微的不对称,并且真实相关比探测相干现象的混沌特性的原始干涉更有意义。我们的研究结果还表明,量子相关的鲁棒性可以通过调整相干速率、源物理性质和初始条件来调节。
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Advances in Systems Evolution Through Quantum Correlations within Engineering Applications
In this paper, we explore the dynamics of quantum correlations in an isolated physical quantum under the influence of intrinsic coherence. We characterize the quantum correlations in the hybrid system using the granular model to investigate the amount of coherent-chaotic fractions, and we particularly use the spherical droplets to measure the specific correlations. Likewise, we examine the effect of coherence on the source evolution of these quantifiers within engineering applications. In particular, the behavior of the multiparticle correlations in terms of the system parameters and the coherence rate is investigated and analyzed in detail to explore the source intrinsic dimensions. We found that the correlations with genuine interferences behave slightly unsymmetrical for identical parameters characterizing the considered complex system and that the genuine correlations are more meaningful than primary interference which probed the chaotic peculiarities against the coherence phenomena. Our results also show that the robustness of quantum correlations can be modulated by adjusting the coherent rate, source physical properties and the initial conditions.
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来源期刊
CiteScore
7.40
自引率
23.40%
发文量
319
审稿时长
>12 weeks
期刊介绍: The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes. Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.
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