English

Long range interaction induced density modulated state in a Bose-Einstein condensate

Quantum Gases 2015-11-27 v1

Abstract

We consider a Gross-Pitaevskii model of BEC with non-local s-wave scattering to study the density modulated state in 1D. We resort to a perturbative Taylor series expansion for the order parameter. By perturbative calculations, we show that under long range s-wave scattering a density modulated state is energetically favourable as compared to the uniform density state. We obtain density modulated state as a solution to the perturbative non-local GP equation, rather than the conventional approach of introducing amplitude modulations on top of the uniform density state and lowering the roton minimum.

Keywords

Cite

@article{arxiv.1510.07843,
  title  = {Long range interaction induced density modulated state in a Bose-Einstein condensate},
  author = {Abhijit Pendse and A. Bhattacharyay},
  journal= {arXiv preprint arXiv:1510.07843},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1407.2039

R2 v1 2026-06-22T11:29:52.469Z