In physics, isospectrality deals with two Hamiltonians with the same energy spectrum. This discussion was developed up to the early 1980s, particularly in the context of the Darboux transform, a mathematical technique used to generate new solutions to the Schrödinger equation in supersymmetric quantum mechanics. In bottom-up holography, one of the key ingredients is the dilaton field, which...
We propose a new multipartite measure for mixed states called "reflected multi-entropy" and present its holographic dual within the AdS/CFT correspondence, demonstrating its validity through calculations in AdS3/CFT2 at both zero and finite temperatures. This talk is based on arXiv:2410.08546.
In the framework of the AdS/CFT correspondence, we find a neutral complex scalar field dynamics in a 2+1 dimensional black hole background which can provide a scheme for studying the pattern formation process in 1+1 dimensional reaction-diffusion systems. The patterns include plane wave, defect turbulence, phase turbulence, spatio-temporal intermittency where defect chaos coexists with stable...
We study the second order gravitational perturbations in an AdS black brane background with Dirichlet condition on the AdS boundary and ingoing condition on the horizon. A second order quasi-normal mode is sourced by two first order quasi-normal modes. We obtain the equation of motion for the second order modes through a gauge invariant formalism and calculate numerically the ratio of...
We propose that the exterior of a static, planar symmetric black hole in the bulk, can be analytically reconstructed from the infinite pole-skipping points of the boundary Green's function for a probe scalar operator by solving a set of linear equations. Furthermore, our reconstruction method reveals that only a subset of pole-skipping points are independent, while most are governed by an...
Holography offers a nice tool for studying nonequilibrium dynamics of strongly coupled systems. In this talk, I will report on our recent progress on derivation of the Schwinger-Keldysh effective actions through holographic approach. Tentatively, I will focus on a holographic critical superfluid and a holographic neutral fluid.
