希尔伯特子空间与量子能量输运之间的跃迁映射

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Open Systems & Information Dynamics Pub Date : 2020-08-11 DOI:10.1142/s1230161220500134

Jorge R. Bolanos-Serv'in, R. Quezada, Josué I. Rios-Cangas

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引用次数: 1

摘要

我们使用离散傅里叶变换的自然推广来定义Hilbert子空间和全局传输算子$Z$之间的转换映射。利用这些跃迁映射作为克劳斯(或噪声)算子，给出了描述N能级开放量子系统动力学的10.1142/S0219025718500182量子能量输运模型的扩展。我们推导出不变态的结构，这些不变态可以通过传输第一能级上支持的态来恢复。

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Transition Maps between Hilbert Subspaces and Quantum Energy Transport

We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator $Z$. By using these transition maps as Kraus (or noise) operators, an extension of the quantum energy transport model of 10.1142/S0219025718500182 describing the dynamics of an open quantum system of $N$-levels is presented. We deduce the structure of the invariant states which can be recovered by transporting states supported on the first level.

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.

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