Time-Crystalline Phase in a Single-Band Holographic Superconductor

TL;DR

This paper demonstrates the emergence of a time-crystalline phase in a holographic superconductor model, revealing broken time-translation symmetry through numerical and analytical methods within the AdS/CFT framework.

Contribution

It introduces a holographic superconductor model with nonlinear coupling and external driving to study time crystals, extending the understanding of strongly coupled time-translation symmetry breaking.

Findings

Identification of a sum resonance indicating broken time-translation symmetry

Numerical demonstration of transition to a time-crystalline phase

Development of a holographic model for strongly coupled time crystals

Abstract

We investigate the emergence of a time-crystalline phase in a single-band holographic superconductor, extending the AdS/CFT framework. By incorporating a nonlinear gauge-scalar coupling and external driving, we derive coupled equations of motion for the plasma and Higgs modes, analogous to those in high-Tc superconductors. Multi-scale analysis reveals a sum resonance with subharmonic growth indicating broken time-translation symmetry. We perform numerical computation of quasinormal mode and demonstrate the transition to the time-crystalline phase. The holographic model may serve as a robust tool for studying strongly coupled time crystals.