Topological turbulence in spin-orbit–coupled driven-dissipative quantum fluids of light generates high-angular-momentum states^(a)

¹ Institut Pascal, PHOTON- N2, Université Clermont Auvergne, CNRS, SIGMA Clermont F-63000 Clermont-Ferrand, France
² St. Petersburg Academic University - Nanotechnology Research and Education Centre of the Russian Academy of Sciences - 194021 St. Petersburg, Russia
³ Institut Universitaire de France (IUF) - F-75231 Paris, France
⁴ Faculty of Science and Engineering, University of Wolverhampton - Wulfruna St, Wolverhampton WV1 1LY, UK

Received: 29 December 2020
Accepted: 8 March 2021

Abstract

We demonstrate the formation of a high-angular-momentum turbulent state in an exciton-polariton quantum fluid with TE-TM Spin-Orbit Coupling (SOC). The transfer of particles from quasi-resonantly cw pumped component to component is accompanied with the generation of a turbulent gas of quantum vortices by inhomogeneities. We show that this system is unstable with respect to the formation of bogolons at a finite wave vector, controlled by the laser detuning. This instability can be triggered by an inhomogeneity of the pumping profile as in present calculations or by other sources like natural disorder in the cavity. In a finite-size cavity, the domains with this wave vector form a ring-like structure along the border of the cavity, with a gas of mostly same-sign vortices in the center. The total angular momentum is imposed by the sign of TE-TM SOC, the wave vector at which the instability develops, and the cavity size. This effect can be detected experimentally via local dispersion measurements or by interference. The proposed configuration thus allows simultaneous experimental studies of quantum turbulence and high-angular-momentum states in continuously pumped exciton-polariton condensates.