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研究生: 林佳儀
Lin, Chia-Yi
論文名稱: 雙模開放量子系統:退相干與局域化模式動力學
Two-mode Open Quantum Systems: Decoherence and Localized Mode Dynamics
指導教授: 張為民
Zhang, Wei-Min
蔡錦俊
Tsai, Chin-Chun
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2024
畢業學年度: 112
語文別: 英文
論文頁數: 41
中文關鍵詞: 開放量子系統 、退相干動力學 、局域束縛態
外文關鍵詞: open quantum systems, decoherence dynamics, localized bound state
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  • 開放系統中的無耗散局域束縛態對於量子技術的發展具有重要意義。在這項研究中,我們探討了雙模開放量子系統在雙模干涉下的退相干動力學和無耗散局域束縛態。我們解析地確定了在任意環境頻譜密度下存在無耗散局域束縛態的條件,並定義了在不同雙模耦合和失諧情況下發生局域束縛態的臨界系統-環境耦合。我們還分析了系統在這些條件下的動力學,明確展示了系統的無耗散相干性,其頻率可調。這一特性為發展無耗散量子技術提供了潛在應用,特別是在量子比特操作中,通過建立兩模間的聯繫來控制量子態,使其無退相干且穩定振盪。

    Dissipationless localized bound states of an open system are significant in the development of quantum technologies. In this work, we study the decoherence dynamics and dissipationless localized bound states of a two-mode open quantum system in the presence of two-mode interference. We analytically determined the conditions for the existence of dissipationless localized bound state under an arbitrary environment spectral density, and defined the critical system-environment couplings for the occurrence of localized bound states under various inter-mode couplings and detunings. We also analyze the dynamics of the system under such conditions and show explicitly the dissipationless coherence of the system, of which the frequencies can be tuned. This feature provides potential applications to develop dissipationless quantum technology for qubit operations, as it allows us to control quantum states to be decoherence-free and steady oscillation by establishing the connection between two modes.

    摘要i Abstract ii 誌謝iii Table of Contents iv List of Figures v Nomenclature vii Chapter 1. Introduction 1 1.1. Open Quantum Systems 1 1.2. Quantum Decoherence and Localized Mode 2 1.3. Thesis Overview 3 Chapter 2. Decoherence Dynamics and the Localized Modes of Two-mode Open Quantum System 5 2.1. Formalism 5 2.2. Exact Master Equation Approach 6 2.3. Heisenberg Equation of Motion 9 2.4. Exact Non-Markovian Dynamics 11 Chapter 3. Result and Analysis 14 3.1. Localized Modes: Direct Inter-mode Coupling 14 3.1.1. Symmetric system-environment coupling with λ = 1 14 3.1.2. Asymmetric system-environment coupling with λ ̸= 1 17 3.2. Localized Modes: Indirect Inter-mode Coupling Through Environments 19 3.3. Dynamics of the Retarded Green Function 22 Chapter 4. Conclusion 28 References 29

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