李黃楊修正對超冷原子量子干涉的效應

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dc.contributor吳文欽zh_TW
dc.contributorWu, Wen-Chinen_US
dc.contributor.author謝明哲zh_TW
dc.contributor.authorSie, Ming-Jheen_US
dc.date.accessioned2023-12-08T07:57:15Z
dc.date.available2022-08-23
dc.date.available2023-12-08T07:57:15Z
dc.date.issued2022
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.abstractRecently 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.identifier60841029S-42038
dc.identifier.urihttps://etds.lib.ntnu.edu.tw/thesis/detail/cd9244b2e1b5b087160f6af5ba9fbb9e/
dc.identifier.urihttp://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.subjectBose-Einstein condensateen_US
dc.subjectultracold atomsen_US
dc.subjectquantum interferenceen_US
dc.subjectinterference fringesen_US
dc.subjectLee-Huang-Yang quantum correctionen_US
dc.title李黃楊修正對超冷原子量子干涉的效應zh_TW
dc.titleEffect of Lee-Huang-Yang correction on quantum interference in ultracold atomsen_US
dc.typeetd

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