All holographic systems have scar states

TL;DR

This paper argues that all holographic quantum field theories contain scar states, which are linked to specific horizonless soliton solutions in gravity, exhibiting non-thermal properties and easy preparation methods.

Contribution

It establishes a universal presence of scar states in holographic theories and connects them to horizonless solitons like oscillons and boson stars, with detailed properties.

Findings

Scar states exist in all holographic quantum field theories.

Horizonless solitons exhibit periodic oscillations in correlation functions.

These states have low entanglement entropy and are easily prepared via Euclidean path integrals.

Abstract

Scar states are special finite-energy density, but non-thermal states of chaotic Hamiltonians. We argue that all holographic quantum field theories, including $\mathcal{N}=4$ super Yang--Mills, have scar states. Their presence is tied to the existence of non-topological, horizonless soliton solutions in gravity: oscillons and a novel family of excited boson stars. We demonstrate that these solutions have periodic oscillations in the correlation functions and posses low-entanglement entropy as expected for scar states. Also we find that they can be very easily prepared with Euclidean path integral.