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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 黃宇廷(Yu-Tin Huang) | |
| dc.contributor.author | I-Hsi Chen | en |
| dc.contributor.author | 陳奕昕 | zh_TW |
| dc.date.accessioned | 2022-11-23T09:01:39Z | - |
| dc.date.available | 2022-02-16 | |
| dc.date.available | 2022-11-23T09:01:39Z | - |
| dc.date.copyright | 2022-02-16 | |
| dc.date.issued | 2022 | |
| dc.date.submitted | 2022-02-12 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/79485 | - |
| dc.description.abstract | 許多已知糾纏度量可用以偵測系統的相變，如糾纏熵、相互資訊，以及純化糾纏。純態的糾纏以糾纏熵描述，但糾纏熵不適用於混合態系統，因此需進一步定義相互資訊及純化糾纏。一般而言計算強耦合場論的糾纏是困難的，透過反德西特空間-共形場論的全像對偶，純化糾纏對應到糾纏楔型中的最小截面積，因此我們可以用幾何方法計算純化糾纏。 我們計算了具動量耗散的全像超導體中的純化糾纏及相互資訊，並探討了耗散強度對這兩個資訊量的影響。我們得到在相同空間配置下，耗散會增加純化糾纏但降低相互資訊，另外超導效應會減低耗散對純化糾纏的影響，但增強耗散對相互資訊的影響。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-23T09:01:39Z (GMT). No. of bitstreams: 1 U0001-0802202214165800.pdf: 2758275 bytes, checksum: ac1025d7584ea5356a20f99a18b2188d (MD5) Previous issue date: 2022 | en |
| dc.description.tableofcontents | "Acknowledgements i 摘要 iii Abstract v Contents vii List of Figures ix Denotation xiii Chapter 1 Intriduction 1 Chapter 2 Entanglement measures 3 2.1 Pure and mixed states . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Entanglement and entanglement entropy . . . . . . . . . . . . . . . . . 6 2.3 Mutual Information . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 The Entanglement of Purification . . . . . . . . . . . . . . . . . . . 16 Chapter 3 The Momentum Relaxed Superconductor Model 21 3.1 Holographic relaxed superconductor . . . . . . . . . . . . . . . . . . 21 3.2 The shooting method . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Chapter 4 Holographic entanglement of purification 29 4.1 Entanglement entropy in bipartied field theory . . . . . . . . . . . . 29 4.2 Holographic entanglement entropy . . . . . . . . . . . . . . . . . . . 33 4.3 Holographic entanglement of purification . . . . . . . . . . . . . . . 36 4.4 Setup a stripe configuration . . . . . . . . . . . . . . . . . . . . . 39 Chapter 5 Results 43 5.1 Some extremel behaviors . . . . . . . . . . . . . . . . . . . . . . . . 44 5.1.1 Symmetric limit . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 5.1.2 High temperature limit . . . . . . . . . . . . . . . . . . . . . . . 45 5.2 Inequalities of entanglement measures . . . . . . . . . . . . . . . . . 47 5.2.1 Mutual information and EoP . . . . . . . . . . . . . . . . . . . . . 47 5.2.2 (a,b,c) configuration . . . . . . . . . . . . . . . . . . . . . . . . 47 5.3 The momentum relaxation effect . . . . . . . . . . . . . . . . . . . . 50 5.3.1 EoP and MI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 5.3.2 Critical ”c” . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 5.3.3 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Chapter 6 Conclusion 57 References 59" | |
| dc.language.iso | en | |
| dc.title | 具動量耗散之全像超導體中的純化糾纏 | zh_TW |
| dc.title | Holographic Entanglement of Purification in Momentum Relaxed Superconductor | en |
| dc.date.schoolyear | 110-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林豐利(Chun-Ju Liao),高賢忠(Chi-Wen Yang),楊毅 | |
| dc.subject.keyword | 糾纏熵,相互資訊,純化糾纏,全像原理,全像超導體, | zh_TW |
| dc.subject.keyword | Entanglement entropy,Mutual information,Entanglement of purification,Holography,Holographic superconductor, | en |
| dc.relation.page | 61 | |
| dc.identifier.doi | 10.6342/NTU202200376 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2022-02-13 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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