# Gravitational wave driving of a gapped holographic system

## TL;DR

This paper investigates how a strongly coupled gapped quantum system responds to periodic gravitational driving, revealing a threshold for stability, resonance phenomena, and implications for gravitational wave detection.

## Contribution

It demonstrates the nonlinear response and resonance behavior of a holographic gapped system under gravitational driving, connecting gravitational dynamics with quantum field theory phenomena.

## Key findings

- Time-periodic geometry below a threshold amplitude
- Collapse to black hole indicates thermalization
- Resonant coupling to normal modes observed

## Abstract

This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly coupled quantum system in a gapped phase, on a compact domain. The response is a time-periodic geometry up to a driving amplitude threshold which decreases with the driving frequency. Beyond that, collapse to a black hole occurs, signaling decoherence and thermalization in the dual theory. At some frequencies, we also find a resonant coupling to the gravitational normal modes of the AdS-soliton, yielding a nonlinearly bound state. We also speculate on the possible uses of quantum strongly coupled systems to build resonant gravitational wave detectors.