# Mainz 2017 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 6: Quantum Gases: Bosons I

### Q 6.5: Vortrag

### Montag, 6. März 2017, 15:30–15:45, P 204

**Continuous and discontinuous dark solitons in polariton condensates** — •Stavros Komineas^{1,2}, Stephen Shipman^{3}, and Stephanos Venakides^{4} — ^{1}University of Crete, Heraklion, Crete, Greece — ^{2}RWTH Aachen University, 52056, Aachen, Germany — ^{3}Louisiana State University, Baton Rouge, Louisiana 70803, USA — ^{4}Duke University, Durham, North Carolina 27708, USA

Bose-Einstein condensates of exciton-polaritons are described by a Schroedinger system of two equations for the wavefunctions of the excitons and the photons. The system is nonlinear due to exciton interactions. We have calculated all non-traveling soliton solutions for the one-dimensional lossless system. We will present in detail the frequency bands of dark soliton solutions. For positive detuning (photon frequency higher than exciton frequency), there is a frequency band for which the exciton wavefunction becomes discontinuous when the operating frequency exceeds the exciton frequency. The exciton wavefunction is discontinuous at its symmetry point, where it undergoes a phase jump of pi. A band of ordinary (continuous) dark solitons merges with the band of discontinuous dark solitons, forming a larger band over which the soliton far-field amplitude varies from 0 to infinity.

This phenomenon lies outside the parameter regime of validity of the Gross-Pitaevskii (GP) model. Within its regime of validity, we give a derivation of a single-mode GP model from the initial Schroedinger system and compare the continuous polariton solitons and GP solitons using the healing length notion.