Holographic Superfluids and the Dynamics of Symmetry Breaking

TL;DR

This paper investigates the non-equilibrium dynamics of holographic superfluids via AdS/CFT, revealing three distinct dynamical regimes linked to black hole quasi-normal modes and a new emergent temperature scale.

Contribution

It introduces a comprehensive dynamical phase diagram for holographic superfluids under quantum quenches, highlighting three regimes of behavior and a novel temperature scale.

Findings

Identified three dynamical regimes: damped oscillations, over-damped superfluid, and normal state approaches.

Linked these regimes to the spectrum of black hole quasi-normal modes.

Proposed the emergence of a dynamical temperature scale in time-reversal invariant systems with continuous symmetry breaking.

Abstract

We explore the far from equilibrium response of a holographic superfluid using the AdS/CFT correspondence. We establish the dynamical phase diagram corresponding to quantum quenches of the order parameter source field. We find three distinct regimes of behaviour that are related to the spectrum of black hole quasi-normal modes. These correspond to damped oscillations of the order parameter, and over-damped approaches to the superfluid and normal states. The presence of three regimes, which includes an emergent dynamical temperature scale, is argued to occur more generally in time-reversal invariant systems that display continuous symmetry breaking.