Nonequilibrium dynamical transition process between excited states of holographic superconductors
- PDF / 2,084,813 Bytes
- 22 Pages / 595.276 x 841.89 pts (A4) Page_size
- 56 Downloads / 219 Views
Springer
Received: August 21, 2020 Accepted: October 7, 2020 Published: November 12, 2020
Nonequilibrium dynamical transition process between excited states of holographic superconductors a
School of Physics, Henan Normal University, Xinxiang 453007, China b Department of Chemistry, State University of New York at Stony Brook, Stony Brook, New York 11790, U.S.A. c Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, New York 11790, U.S.A. d Research Center of Gravitation and Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China e Department of Physics, Beijing Normal University, Beijing 100875, China f Theoretische Natuurkunde, Vrije Universiteit Brussel, and The International Solvay Institutes, Pleinlaan 2, B-1050 Brussels, Belgium
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We study the dynamics of the holographic s-wave superconductors described by the Einstein-Maxwell-complex scalar field theory with a negative cosmological constant. If the eigenfunction of the linearized equation of motion of the scalar field in the planar RNAdS black hole background is chosen as the initial data, the bulk system will evolve to the intermediate state that corresponds to the excited state superconductor on the boundary. The process can be regarded as the non-equilibrium condensation process of the excited state of holographic superconductor. When the linear superposition of the eigenfunctions is chosen as the initial data, the system will go through a series of the intermediate states corresponding to different overtone numbers, which can be regarded as the dynamical transition process between the excited states of holographic superconductor. Because the intermediate states are metastable, the bulk system eventually evolves to the stationary state that corresponds the ground state of the holographic superconductor. We also provide a global and physical picture of the evolution dynamics of the black hole and the corresponding superconducting phase transition from the funneled landscape view, quantifying the weights of the states and characterizing the transitions and cascades towards the ground state. Keywords: AdS-CFT Correspondence, Black Holes, Holography and condensed matter physics (AdS/CMT) ArXiv ePrint: 2008.07311 1
Corresponding author
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)059
JHEP11(2020)059
Ran Li,a,b Jin Wang,b,c,1 Yong-Qiang Wangd and Hongbao Zhange,f
Contents 1 Introduction
1
2 Holographic setup
3 5 5 7 12
4 Conclusion and discussion
17
1
Introduction
The AdS/CFT correspondence [1–3], which states that the weakly coupled gravity in AdS space is dual to the strongly coupled conformal field theory on the boundary, has been applied to describe and understand the high temperature superconductivity [4]. The construction of the gravitational dual of the superconductor depends mainly on the observation in [5] that the charged scalar pe
Data Loading...
