Abstract

We predict the spontaneous symmetry breaking in a spinor Bose–Einstein condensate of exciton-polaritons (polaritons) caused by the coupling of its spin and orbital degrees of freedom. We study a polariton condensate trapped in a ring-shaped effective potential with a broken rotational symmetry. We propose a realistic scheme of generating controllable spinor azimuthal persistent currents of polaritons in the trap under the continuous wave optical pump. We propose a new type of half-quantum circulating states in a spinor system characterized by azimuthal currents in both circular polarizations and a vortex in only one of the polarizations. The spontaneous symmetry breaking in the spinor polariton condensate that consists in the switching from co-winding to opposite-winding currents in opposite spin states is revealed. It is characterized by the change of the average orbital angular momentum of the condensate from zero to non-zero values. The radial displacement of the pump spot and the polarization of the pump act as the control parameters. The considered system exhibits a fundamental similarity to a superconducting flux qubit, which makes it highly promising for applications in quantum computing.

Highlights

  • Reduction of the problem from two-dimensional to one-dimensional[36,37,38,39] enhances the role of nonlinearity induced by interactions and gives rise to various topological effects

  • It has been shown that breaking the symmetry itself does not lead to formation of azimuthal polariton currents

  • We have predicted the spontaneous symmetry breaking in the system of persistent azimuthal currents in the annular spinor exciton-polariton condensate under the effects of spin-orbit interaction (SOI) and particle-particle interactions

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Summary

Introduction

Reduction of the problem from two-dimensional to one-dimensional[36,37,38,39] enhances the role of nonlinearity induced by interactions and gives rise to various topological effects. In the |0 state, the phases of the circular polarization components of the polariton condensate makes a full turn around the pillar which results in the values of the winding numbers m∓ = ±1. The black drops in the distribution of the phases of the condensates in Fig. 2b illustrate the steady state polariton currents in the corresponding polarizations.

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