Dynamical Formation of Holographic Josephson Junction

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姓名

鄭皓文(Hao-Wen Zheng) 查詢紙本館藏

畢業系所

物理學系

論文名稱

(Dynamical Formation of Holographic Josephson Junction)

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摘要(中)

全息超導體的初期研究一般只考慮不含時演化的狀況。而我們能夠得知的資訊只有最後的穩定態，中間任何演化的過程都是未知的。為了實際應用，必須能處理更廣泛的例子。而接著的研究是含時演化的全息超導體。這篇論文我模擬了兩個例子，均相的超導體與約瑟夫結，還有這兩者的演化結果與不含時方法的結果比較。

摘要(英)

In early research, the holographic superconductor was only considered time independent cases. The result we can get from the simulation is the static state, and the dynamical process is invisible. For practical applications of the theory, more general cases should be considered. The following research is going to study time dynamics in the holographic superconductor. In this thesis, I simulated two cases, homogeneous superconductors and the Josephson junction, and compared the time evolution result with the static result.

關鍵字(中)

★ AdS/CFT對應

關鍵字(英)

論文目次

1 Introduction 1
2 Holographic Superconductor 2
2.1 Gravitational Background................... 2
2.2 Action of Scalar and Gauge Fields.......... 3
2.3 Equations of Motion........................ 3
2.4 Asymptotic Form of Fields.................. 4
3 Numerical Results 6
3.1 Homogeneous Superconductor................. 6
3.2 Josephson Junction........................ 14
4 Conclusions 24
Bibliography 25

參考文獻

[1] S.~A.~Hartnoll, C.~P.~Herzog and G.~T.~Horowitz ``Building a Holographic Superconductor,′′ Phys. Rev. Lett. extbf{101} (2008), 031601
doi:10.1103/PhysRevLett.101.031601 [arXiv:0803.3295 [hep-th]].
[2] G.~T.~Horowitz, J.~E.~Santos and B.~Way, ``A Holographic Josephson Junction,′′ Phys. Rev. Lett. extbf{106} (2011), 221601 doi:10.1103/PhysRevLett.106.221601 [arXiv:1101.3326 [hep-th]].
[3] Y.~Q.~Wang, Y.~X.~Liu and Z.~H.~Zhao, ``Holographic Josephson Junction in 3+1 dimensions,′′ [arXiv:1104.4303 [hep-th]].
[4] Z.~H.~Li, C.~Y.~Xia, H.~B.~Zeng and H.~Q.~Zhang,
``Formation and critical dynamics of topological defects in Lifshitz holography,′′
JHEP extbf{04} (2020), 147 doi:10.1007/JHEP04(2020)147
[arXiv:1912.10450 [hep-th]].
[5] C.~Y.~Xia, H.~B.~Zeng, H.~Q.~Zhang, Z.~Y.~Nie, Y.~Tian and X.~Li, ``Vortex Lattice in a Rotating Holographic Superfluid,′′ Phys. Rev. D extbf{100} (2019) no.6, 061901 doi:10.1103/PhysRevD.100.061901 [arXiv:1904.10925 [hep-th]].
[6] H.~B.~Zeng, C.~Y.~Xia, W.~H.~Zurek and H.~Q.~Zhang, ``Topological defects as relics of spontaneous symmetry breaking in a holographic superconductor.′′ [arXiv:1912.08332 [hep-th]].
[7] J.~Zaanen, Y.~Liu, Y.-W.~Sun and K.~Schalm, Holographic Duality in Condensed Matter Physics, (Cambridge University Press, 2015). https://doi.org/10.1017/CBO9781139942492
[8] ′′Josephson effect′′ in Wikipedia: http://en.wikipedia.org/wiki/Josephson_effect

指導教授

陳江梅(Chiang-Mei Chen)

審核日期

2020-7-28

推文