arXiv subjects

S. V. Korneev

Publications and source records attributed to S. V. Korneev.

4 recordsLinked to original sources

arXiv2011

Oblique solitons in the flow of polariton condensate past an obstacle

Formation of oblique solitons by a flow of polariton condensate past an obstacle is considered. The flow is non-uniform due to a finite life-time of polaritons what changes drastically the conditions of formation of oblique solitons compared with the atomic condensate case. The theory shows that the polariton solitons can be generated by a subsonic flow in agreement with the recent experiment [A. Amo {\it et al.}, Science, {\bf 332,} 1167 (2011)]. Geometric form of oblique solitons and other their parameters are calculated analytically and analytical results are confirmed by numerical simulations.

cond-mat.quant-gas↗

arXiv2011

Condition for convective instability of dark solitons

Simple derivation of the condition for the transition point from absolute instability of plane dark solitons to their convective instability is suggested. It is shown that unstable wave packet expands with velocity equal to the minimal group velocity of the disturbance waves propagating along a dark soliton. The growth rate of the length of dark solitons generated by the flow of Bose-Einstein condensate past an obstacle is estimated. Analytical theory is confirmed by the results of numerical simulations.

cond-mat.quant-gas↗

arXiv2010

Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner

The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave generated at the initial moment of time demonstrate a snake instability during their evolution to stationary curved solitons. Time of decay of soliton to vortices agrees very well with analytical estimates of the instability growth rate.

nlin.PS↗

arXiv2010

Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics

Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear term in the generalized nonlinear Schroedinger or Gross-Pitaevskii equation. Analytical theory is illustrated by examples of dynamics of ring solitons in light beams propagating through a photorefractive medium and in non-uniform condensates confined in axially symmetric traps. Analytical results agree very well with the results of our numerical simulations.

nlin.PS↗