2020/08/20 by Ran Li, Jin Wang, Yong-Qiang Wang +1
Physics and Astronomy · #AdS black hole #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Eigenfunction #Excited state #Ground state #Noncommutative and Quantum Gravity Theories #Phase transition #Scalar (mathematics) #Scalar field #Superconductivity #hep-th
paper · pdf · doi:10.1007/jhep11(2020)059
published as JHEP11(2020)059
arxiv created 2020/08/20 · openalex created_date 2020/08/21 · openalex publication_date 2020/11/01 · arxiv updated 2020/11/13 · openalex updated_date 2026/08/05
A bstract 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.