Periodically Driven Holographic Superconductor

TL;DR

This paper investigates the real-time dynamics of a holographic superconductor under periodic electric driving, revealing how the system reaches oscillating states and the influence of driving frequency on phase transitions.

Contribution

It introduces a holographic model for periodically driven superconductors and analyzes the resulting oscillating states and phase transition channels at various frequencies.

Findings

Final oscillating state with suppressed condensate controlled by twice the driving frequency

Identification of three channels towards steady state: under damped, over damped, and normal phase

Low lying spectrum of quasi-normal modes explains the dynamics

Abstract

As a first step towards our holographic investigation of the far-from-equilibrium physics of periodically driven systems at strong coupling, we explore the real time dynamics of holographic superconductor driven by a monochromatically alternating electric field with various frequencies. As a result, our holographic superconductor is driven to the final oscillating state, where the condensate is suppressed and the oscillation frequency is controlled by twice of the driving frequency. In particular, in the large frequency limit, the three distinct channels towards the final steady state are found, namely under damped to superconducting phase, over damped to superconducting and normal phase, which can be captured essentially by the low lying spectrum of quasi-normal modes in the time averaged approximation, reminiscent of the effective field theory perspective.