A Korteweg-de Vries description of dark solitons in polariton superfluids
arXiv:1710.01336 · doi:10.1016/j.physleta.2017.10.004
Abstract
We study the dynamics of dark solitons in an incoherently pumped exciton-polariton condensate by means of a system composed by a generalized open-dissipative Gross-Pitaevskii equation for the polaritons' wavefunction and a rate equation for the exciton reservoir density. Considering a perturbative regime of sufficiently small reservoir excitations, we use the reductive perturbation method, to reduce the system to a Korteweg-de Vries (KdV) equation with linear loss. This model is used to describe the analytical form and the dynamics of dark solitons. We show that the polariton field supports decaying dark soliton solutions with a decay rate determined analytically in the weak pumping regime. We also find that the dark soliton evolution is accompanied by a shelf, whose dynamics follows qualitatively the effective KdV picture.
arXiv comment15 pages, 6 figures, (accepted for publication in Physics Letters A)
References in corpus (25)
- Quantum fluids of light
- Quantised Vortices in an Exciton-Polariton Fluid
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Spontaneous formation and optical manipulation of extended polariton condensates
- Polariton superfluids reveal quantum hydrodynamic solitons
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Single vortex-antivortex pair in an exciton polariton condensate
- Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
- Spatial Coherence of a Polariton Condensate
- Dynamics and stability of dark solitons in exciton-polariton condensates
- Dark solitons in the Lugiato-Lefever equation with normal dispersion
- Spatial pattern formation and polarization dynamics of a nonequilibrium spinor polariton condensate
- Soliton Instabilities and Vortex Streets Formation in a Polariton Quantum Fluid
- Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid
- Creation and manipulation of stable dark solitons and vortices in microcavity polariton condensates
- Real-space collapse of a polariton condensate
- Creation and abrupt decay of a quasi-stationary dark soliton in a polariton condensate
- Interactions and scattering of quantum vortices in a polariton fluid
- Stability and spatial coherence of nonresonantly pumped exciton-polariton condensates
- Phase-controlled bistability of a dark soliton train in a polariton fluid
- Nonlinear Excitations, Stability Inversions and Dissipative Dynamics in Quasi-one-dimensional Polariton Condensates
- Oblique solitons in the flow of polariton condensate past an obstacle
- Continuous and discontinuous dark solitons in polariton condensates