Analog Models for Holographic Transport

TL;DR

This paper explores how analog gravity systems can be used to understand holographic transport phenomena in strongly coupled condensed matter systems by relating observables like Green's functions and transport coefficients.

Contribution

It demonstrates that certain holographic transport properties can be obtained from analog gravitational systems, establishing a novel connection between the two.

Findings

Green's functions in holographic models match those in analog systems

Transport coefficients in holography resemble those in analog gravity

Potential to measure holographic quantities via analog experiments

Abstract

The gauge-gravity duality and analog gravity both relate a condensed matter system to a gravitational theory. This makes it possible to use gravity as an intermediary to establish a relation between two different condensed matter systems: The strongly coupled system from the gauge-gravity duality and the weakly coupled gravitational analog.We here offer some examples for relations between observables in the two different condensed matter systems. In particular, we show that in some cases Green's functions and first order transport coefficients in holographic models are of the same form as those in an analog gravitational system, which allows in principle to obtain the former by measuring the latter.