Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

Martin Tcoffo; Germain Yinde Deuto; Issofa Nsangou; Armel Azangue Koumetio; Lylyane S. Yonya Tchapda; Alain G. Tene

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Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

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In this paper, decoherence of a damped anisotropic harmonic oscillator in the presence of a magnetic field is studied in the framework of the Lindblad theory of open quantum systems in noncommutative phase-space. General fundamental conditions that should follow our quantum mechanical diffusion coefficients appearing in the master equation are kindly derived. From the master equation, the expressions of density operator, the Wigner distribution function, the expectation and variance with respect to coordinates and momenta are obtained. Based on these quantities, the total energy of the system is evaluated and simulations show its dependency to phase-space structure and its improvement due to noncommutativity effects and the environmental temperature as well. In addition, we also evaluate the decoherence time scale and show that it increases with noncommutativity phase-space effects as compared to the commutative case. It turns out from simulations that this time scale is significantly improved under magnetic field effects.

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《应用数学与应用物理（英文）》 |2020年第12期|P.2801-2823|共23页
作者
Martin Tcoffo; Germain Yinde Deuto; Issofa Nsangou; Armel Azangue Koumetio; Lylyane S. Yonya Tchapda; Alain G. Tene;
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作者单位

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang CameroonCentre d’Etude et de Recherche en Agronomie et en Biodiversité FASA Université de Dschang Dschang Cameroun;

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang Cameroon;

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang Cameroon;

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang Cameroon;

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang Cameroon;

Research Unit of Condensed Matter Electronics and Signal Processing University of Dschang Dschang Cameroon;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Decoherence; Noncommutative Phase-Space; Lindblad Theory; Wigner Distribution;

机译：移渗;非容态相位空间;LINDBLAD理论;Wigner分布;

Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

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