Influence of pump size on pattern formation in exciton-polaritonic Bose-Einstein condensates in the non-Markovian regime

TL;DR

This study investigates how pump size influences pattern formation in exciton-polaritonic Bose-Einstein condensates within a non-Markovian framework, revealing the impact of memory effects on spatial structures.

Contribution

It introduces a non-Markovian stochastic Gross-Pitaevskii model to analyze the influence of pump size and memory duration on condensate patterns.

Findings

Short memory leads to extended condensate states beyond the pump area.

Long memory enhances condensate formation and creates angular structures.

Dispersion effects cause a 'traffic jam' phenomenon affecting pattern emergence.

Abstract

Dynamics of exciton-polaritonic condensate under incoherent pumping is studied using the non-Markovian stochastic Gross-Pitaevskii equation with the pseudo-differential dispersion term. This term corresponds to the lower energy branch of polaritons. It is shown that an increasing of the pumping spot area leads to the appearance of various spatial structures whose properties depend on the duration of the dynamical memory. In the regime of short memory time, condensate can form an extended state that spans outside the pumping area. We conclude that onset of such extended states is related to the specific form of the dispersion term causing the ``traffic jam'' effect. The case of long memory time corresponds to enhanced condensate formation, when increasing of the pumping area leads to appearance of angular condensate structures which partially suppress emission of matter waves from the pumping area.