Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background

TL;DR

This paper investigates how spacetime curvature in AdS$_2$ backgrounds induces chiral transport and entanglement dynamics in Dirac fermions, revealing asymmetric wave propagation, entanglement growth, and real-time diagnostics of transport phenomena.

Contribution

It introduces a framework connecting curvature-induced effects to chiral transport and entanglement in (1+1)D fermionic systems, with novel insights into wave confinement and entropy behavior.

Findings

Wavefront velocities decrease with fermion mass and horizon size.

Entanglement entropy saturates due to screening and dephasing.

Charge and current correlations peak at wavefronts, diagnosing transport.

Abstract

We study the real-time chiral dynamics of Dirac fermions in AdS$_2$ and AdS$_2$ black hole backgrounds. The spacetime curvature generates a spin connection term, acting as an effective magnetic field and a position-dependent chiral chemical potential. This leads to strongly asymmetric wave propagation, confined within an inhomogeneous Lieb-Robinson cone. The front velocities decrease with increasing fermion mass and horizon radius. The entanglement entropy grows inside the causal cone, and it saturates due to screening/dephasing in the finite inhomogeneous chain. In dipole-dipole collision, the central bipartite entropy rises when the inward Lieb-Robinson fronts intersect, forming a bright ridge in the local entanglement profile. Charge and current correlators peak at the front arrival, providing a real-time diagnostic of chiral transport. These results establish a causality-respecting framework, linking curvature and horizons to transport and entanglement in (1+1)-dimensional fermionic matter.