Math @ Duke

Publications [#244138] of Stephanos Venakides
Papers Published
 Komineas, S; Shipman, SP; Venakides, S, Continuous and discontinuous dark solitons in polariton condensates,
Physical Review B  Condensed Matter and Materials Physics, vol. 91 no. 13
(April, 2015), ISSN 10980121 [doi]
(last updated on 2017/12/16)
Abstract: BoseEinstein condensates of excitonpolaritons are described by a SchrÃ¶dinger system of two equations. Nonlinearity due to exciton interactions gives rise to a frequency band of dark soliton solutions, which are found analytically for the lossless zerovelocity case. The soliton's farfield value varies from zero to infinity as the operating frequency varies across the band. For positive detuning (photon frequency higher than exciton frequency), the exciton wave function becomes discontinuous when the operating frequency exceeds the exciton frequency. This phenomenon lies outside the parameter regime of validity of the GrossPitaevskii (GP) model. Within its regime of validity, we give a derivation of a singlemode GP model from the initial SchrÃ¶dinger system and compare the continuous polariton solitons and GP solitons using the healing length notion.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

