<p>We study the dynamics of solitons in a driven-dissipative exciton–polariton superfluid; by employing a perturbed variational approximation, we get a set of ordinary differential equations to describe the dynamics of solitons. A spontaneously walking soliton is found in this driven-dissipative superfluid, and the soliton position exhibits a unidirectional motion. We mainly discuss how the pumping strength <i>F</i> and decay rate <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation> influence the solitons dynamics. Meanwhile, the stability properties of the corresponding solitons are also investigated on the <i>P</i>(<i>V</i>) criterion, with <i>P</i> and <i>V</i> being the momentum and the velocity of the solitons.</p>

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Unidirectional Walking Soliton in a Resonantly Driven Polariton Superfluid

  • Wei Qi,
  • Hongyan Li

摘要

We study the dynamics of solitons in a driven-dissipative exciton–polariton superfluid; by employing a perturbed variational approximation, we get a set of ordinary differential equations to describe the dynamics of solitons. A spontaneously walking soliton is found in this driven-dissipative superfluid, and the soliton position exhibits a unidirectional motion. We mainly discuss how the pumping strength F and decay rate \(\gamma\) γ influence the solitons dynamics. Meanwhile, the stability properties of the corresponding solitons are also investigated on the P(V) criterion, with P and V being the momentum and the velocity of the solitons.