基於電磁誘發透明的量子薛丁格方程式模擬器;Quantum Schrödinger Equation Simulator based on Electromagnetically Induced Transparency

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/95090

Title:	基於電磁誘發透明的量子薛丁格方程式模擬器;Quantum Schrödinger Equation Simulator based on Electromagnetically Induced Transparency
Authors:	邵詳崴;Shao, Siang-Wei
Contributors:	物理學系
Keywords:	電磁誘發透明;人造規範場
Date:	2024-07-30
Issue Date:	2024-10-09 15:48:36 (UTC+8)
Publisher:	國立中央大學
Abstract:	本研究主要目的是探討如何使用光來模擬帶電粒子在電磁場中的運動。我所使用的方法是電磁誘發透明(EIT)，通過調控EIT系統中的各項參數，例如耦合光以及雙光子失諧，即可為EIT中的暗態極化子合成相應的人造規範場。進而讓系統成為一個可以計算薛丁格方程式的模擬器。在此研究中，我使用了此EIT薛丁格方程式模擬器模擬了幾個不同的電磁場環境，分別是等效靜磁場下的朗道能階(Landaulevel)，等效靜電場下的量子諧振子(Quantum Harmonic Oscillation) 以及使用等效時變電場來展示受激拉曼絕熱通道(STIRAP)。附錄則是介紹我研究中所使用到的數值方法等。;This study explores the use of light to simulate the motion of charged particles in electromagnetic fields, employing Electromagnetically Induced Transparency (EIT). By manipulating parameters within the EIT system, such as coupling light and two-photon detuning, synthetic electromagnetic fields can be generated for dark-state polaritons, let the system become a quantum Schrödinger equation simulator. We utilize this EIT Schrödinger equation simulator to mimic various eletromagnetic field environments, including Landau levels under an effective magnetic field, quantum harmonic oscillation under an effective static electric field, and using an effective time varing electric field to demonstrate STIRAP. The appendix details numerical methods employed in this study.
Appears in Collections:	[Graduate Institute of Physics] Electronic Thesis & Dissertation

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