高斯量子系统和Kahler几何结构

Q2 Mathematics

Statistics, Optimization and Information Computing Pub Date : 2023-08-05 DOI:10.19139/soic-2310-5070-1546

Mykola Yaremenko

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引用次数: 0

摘要

在本文中，我们研究了量子态的相空间分布作为描述连续变量系统中量子系统不同性质的框架。给出了量子系统的自然方法高斯维格纳表示，为了统一玻色子和费米子量子态的描述，我们研究了Kahler空间几何的结构，作为三种形式在依赖于玻色子或费米子状态性质的一致条件下产生的几何。研究了多模光，建立了Fock空间真空对应于一定的均匀高斯态。

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Gaussian quantum systems and Kahler geometrical structure

In this article, we study the phase-space distribution of the quantum state as a framework to describe the different properties of quantum systems in continuous-variable systems. The natural approach to quantum systems is given the Gaussian Wigner representation, to unify the description of bosonic and fermionic quantum states, we study the structure of the Kahler space geometry as the geometry generated by three forms under the agreement conditions depended on the nature of the state bosonic or fermionic. Multi-mode light is studied, and we established that the Fock space vacuum corresponds to a certain homogeneous Gaussian state.

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来源期刊

Statistics, Optimization and Information Computing Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Statistics, Optimization and Information Computing (SOIC) is an international refereed journal dedicated to the latest advancement of statistics, optimization and applications in information sciences. SOIC publishes original research/survey papers on theory, algorithms and applications which covering the range of the interface of statistics, optimization and information sciences. Topics of interest are (but not limited to): Statistical theory and applications [...] Optimization methods and applications[...] Information computing and machine intelligence[...]