Analog Models for Holographic Transport

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.