Nonlocality and fluctuations near the optical analog of a sonic horizon

TL;DR

This paper investigates how nonlocal interactions affect fluctuations near a sonic horizon in Kerr nonlinear media, highlighting conditions for observing straddled fluctuations and their potential experimental implications.

Contribution

It introduces the role of nonlocality in regularizing fluctuations near sonic horizons and discusses experimental conditions for observing related phenomena.

Findings

Nonlocality dominates when its length scale exceeds the regularization length.

Nonlocal interactions influence the behavior of fluctuations near the sonic horizon.

Experimental conditions for observing straddled fluctuations are identified.

Abstract

We consider the behavior of fluctuations near the sonic horizon and the role of the nonlocality of interaction (nonlinearity) on their regularization. The nonlocality dominates if its characteristic length scale is larger than the regularization length. The influence of nonlocality may be important in the current experiments on the transonic flow in Kerr nonlinear media. Experimental conditions, under which the observation of straddled fluctuations can be observed, are discussed.