All-to-all connected networks by multi-frequency excitation of polaritons

TL;DR

This paper presents a theoretical analysis of a polariton network with all-to-all coupling, using multi-frequency excitation to control mode superpositions, revealing a maximum eigenvalue problem akin to active mode locking.

Contribution

It introduces a novel method to engineer polariton condensate states through multi-frequency excitation, enabling tailored superpositions of bosonic modes.

Findings

System finds a state with maximal gain based on excitation weights

The approach solves a maximum eigenvalue problem for mode selection

Potential to customize condensate mode superpositions

Abstract

We analyze theoretically a network of all-to-all coupled polariton modes, realized by a trapped polariton condensate excited by a comb of different frequencies. In the low-density regime the system dynamically finds a state with maximal gain defined by the average intensities (weights) of the excitation beams, analogous to active mode locking in lasers, and thus solves a maximum eigenvalue problem set by the matrix of weights. The method opens the possibility to tailor a superposition of populated bosonic modes in the trapped condensate by appropriate choice of drive.