Turbulence and Holography

Universal turbulence on branes in holography

At a meson melting transition in holographic QCD, a weak turbulence of mesons was found with critical embeddings of probe D-branes in gravity duals. The turbulent mesons have a power-law energy distribution $\varepsilon_n \propto (ω_n)^α$ where $ω_n$ is the mass of the $n$-th excited resonance of the meson tower. In this paper, we find that the turbulence power $α$ is universal, irrespective of how the transition is driven, by numerically calculating the power in various static brane setups at criticality. We also find that the power $α$ depends only on the cone dimensions of the probe D-brane…

全息方法中的量子湍流主动正常流体反馈

Active normal-fluid feedback in quantum turbulence from holography

该研究通过全息对偶方法模拟量子湍流中的主动双流体动力学，揭示了正常流体速度统计的非高斯尾部和各向异性，并确立了全息框架作为第一性原理工具。

A smeared quantum phase transition in disordered holography

We study the effects of quenched one-dimensional disorder on the holographic Weyl semimetal quantum phase transition (QPT), with a particular focus on the quantum critical region. We observe the smearing of the sharp QPT linked to the appearance of rare regions at the horizon where locally the order parameter is non-zero. We discuss the role of the disorder correlation and we compare our results to expectations from condensed matter theory at weak coupling. We analyze also the interplay of finite temperature and disorder. Within the quantum critical region we find indications for the presence …

量子场论中的纠缠抑制：全息、混沌与混态动力学

Entanglement Suppression in Quantum Field Theories: Holography, Chaos, and Mixed-State Dynamics

本提案围绕CFTs中的纠缠抑制现象，规划高维推广、OTOC混沌、可积模型、纠缠负性及AdS散射几何五条研究路线。

A Unified Description of Translational Symmetry Breaking in Holography

We provide a complete and unified description of translational symmetry breaking in a simple holographic model. In particular, we focus on the distinction and the interplay between explicit and spontaneous breaking. We consider a class of holographic massive gravity models which allow to range continuously from one situation to the other. We study the collective degrees of freedom, the electric AC conductivity and the shear correlator in function of the explicit and spontaneous scales. We show the possibility of having a sound-to-diffusion crossover for the transverse phonons. Within our model…

Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation

We provide a comprehensive classification of isotropic solid and fluid holographic models with broken translational invariance. We describe in detail the collective modes in both the transverse and longitudinal sectors. First, we discuss holographic fluid models, i.e. systems invariant under internal volume preserving diffeomorphisms. We consider the explicit (EXB) and the spontaneous (SSB) breaking of translations and we emphasize the differences with respect to their solid counterpart. Then, we present a study of the longitudinal collective modes in simple holographic solid and fluid models …