Shock waves in quasi one-dimensional Bose-Einstein condensate

Regular Article

Abstract.

We study analytically and numerically the generation of shock waves in a quasi-one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D nonpolynomial Schrödinger equation (1D NPSE), which takes into account density modulations in the transverse direction and generalizes the familiar 1D Gross-Pitaevskii equation (1D GPE). Comparing 1D NPSE with 1D GPE we find quantitative differences in the dynamics of shock waves regarding the velocity of propagation, the time of formation of the shock, and the wavelength of after-shock dispersive ripples.

Keywords

Shock Wave Hydrodynamic Equation Shock Wave Front Transverse Width Axial Density 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Dipartimento di Fisica “Galileo Galilei” and CNISMUniversità di PadovaPadovaItaly
  2. 2.CNR-INOSesto FiorentinoItaly

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