李黃楊修正對超冷原子量子干涉的效應
dc.contributor | 吳文欽 | zh_TW |
dc.contributor | Wu, Wen-Chin | en_US |
dc.contributor.author | 謝明哲 | zh_TW |
dc.contributor.author | Sie, Ming-Jhe | en_US |
dc.date.accessioned | 2023-12-08T07:57:15Z | |
dc.date.available | 2022-08-23 | |
dc.date.available | 2023-12-08T07:57:15Z | |
dc.date.issued | 2022 | |
dc.description.abstract | 近來李黃楊(Lee-Huang-Yang)量子修正在冷原子系統激起了很高的研究興趣。在長程序電偶極(long-ranged dipolar)系統中,李黃楊修正可以導致穩定的超固態(supersolid state),而在相互吸引的的二分量短程序(two-component short-ranged)系統中,李黃楊修正可以導致量子液滴(quantum droplet)的形成。在本論文中,我研究李黃楊修正如何影響兩個膨脹的玻色-愛因斯坦凝聚體(Bose-Einstein condensates)的干涉(interference)。從具有李黃楊修正的三維Gross-Pitaevskii (GP)方程理論開始,首先推導出相關的準一維二分量耦合方程式,藉以研究兩個相干(coherent)、空間分離的凝聚體的干涉。接著,數值求解耦合方程式得到兩個膨脹冷凝物的干涉結果。透過控制變因,一次只改變一個參數,我具體得出干涉波長如何受到李黃楊修正的效應的影響。我們的研究結果應對相關實驗具參考價值。 | zh_TW |
dc.description.abstract | Recently Lee-Huang-Yang (LHY) correction has stimulated a lot of interest in ultracold atoms. In long-ranged dipolar systems, LHY correction can result in stable supersolid states, whereas in a two-component short-ranged system with attractive interspecies interaction, it could lead to a novel state of quantum droplets. In this thesis, I investigate the effect of LHY correction on the interference of two expanding Bose-Einstein condensates. Starting from a general three-dimensional theory of Gross–Pitaevskii equation with the LHY correction, I derive the coupled equations for the wave functions of twocoherent, spatially displaced condensates in a quasi-one-dimensional geometry. Solving the coupled equations enables the study of interference of the two expanding condensates along a particular direction. By varying the parameter one at a time, our simulations show explicitly how the wavelength of the interference depends on the effect of LHY correction. Our results should shed some light on the relevant experiments. | en_US |
dc.description.sponsorship | 物理學系 | zh_TW |
dc.identifier | 60841029S-42038 | |
dc.identifier.uri | https://etds.lib.ntnu.edu.tw/thesis/detail/cd9244b2e1b5b087160f6af5ba9fbb9e/ | |
dc.identifier.uri | http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/121146 | |
dc.language | 中文 | |
dc.subject | 玻色-愛因斯坦凝聚態 | zh_TW |
dc.subject | 超冷原子 | zh_TW |
dc.subject | 量子干涉 | zh_TW |
dc.subject | 干涉條紋 | zh_TW |
dc.subject | 李黃楊量子修正 | zh_TW |
dc.subject | Bose-Einstein condensate | en_US |
dc.subject | ultracold atoms | en_US |
dc.subject | quantum interference | en_US |
dc.subject | interference fringes | en_US |
dc.subject | Lee-Huang-Yang quantum correction | en_US |
dc.title | 李黃楊修正對超冷原子量子干涉的效應 | zh_TW |
dc.title | Effect of Lee-Huang-Yang correction on quantum interference in ultracold atoms | en_US |
dc.type | etd |
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