论文标题
全息超导体激发态之间的非平衡动力过渡过程
Nonequilibrium dynamical transition process between excited states of holographic superconductors
论文作者
论文摘要
我们研究了由爱因斯坦 - 马克斯韦尔 - 复合标量子场理论所描述的全息$ s $ - 波超导体的动力学，具有负宇宙学常数。如果在平面RNADS中的标量场的线性运动方程式的本征函数选择作为初始数据，则大量系统将演变为中间状态，该状态与边界上激发状态超导体相对应。该过程可以视为全息超导体激发态的非平衡凝结过程。当选择本征函数的线性叠加作为初始数据时，该系统将经过一系列与不同的泛音数相对应的中间状态，这些中间状态可以被视为全息超导体激发态之间的动态过渡过程。由于中间状态是可稳定的，因此大体系统最终演变成对应于全息超导体基态的固定状态。我们还提供了黑洞演化动力学的全球和物理图片，以及从漏斗景观视图的相应超导相变，量化了状态的重量并表征向基态的过渡和级联。
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.
