Passage-time statistics of superradiant light pulses from Bose-Einstein condensates

TL;DR

This paper investigates the statistical properties of superradiant light pulses emitted from Bose-Einstein condensates, analyzing how their passage times depend on system parameters and exploring connections to Brownian motion.

Contribution

It provides a detailed analysis of passage-time distributions and their scaling behavior in superradiant BEC systems, highlighting parameter regimes where dynamics change significantly.

Findings

Passage-time distributions depend on photon number thresholds and coupling strength.

Significant variations occur during the transition between Kapitza Dirac and Bragg regimes.

Potential link between superradiant dynamics and Brownian motion is discussed.

Abstract

We discuss the passage-time statistics of superradiant light pulses generated during the scattering of laser light from an elongated atomic Bose-Einstein condensate. Focusing on the early-stage of the phenomenon, we analyze the corresponding probability distributions and their scaling behaviour with respect to the threshold photon number and the coupling strength. With respect to these parameters, we find quantities which only vary significantly during the transition between the Kapitza Dirac and the Bragg regimes. A possible connection of the present observations to Brownian motion is also discussed.