Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate
Abstract
Supersolid is an exotic state of matter, showing crystalline order with a superfluid background, observed recently in dipolar Bose-Einstein condensate (BEC) in a trap. Here, we present exact solutions of the desired Bloch form in the self-trapped free-floating quantum fluid. Our general solutions of the amended nonlinear Schr{\"o}dinger equation, governing the mean-field and beyond mean-field dynamics, are obtained through a M{\"o}bius transform, connecting a wide class of supersolid solutions to the ubiquitous cnoidal waves. The solutions yield the constant condensate, supersolid behavior and the self-trapped droplet in different parameter domains. The lowest residual condensate is found to be exactly one-third of the constant background.
Cite
@article{arxiv.2004.09973,
title = {Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate},
author = {Mithilesh K. Parit and Gargi Tyagi and Dheerendra Singh and Prasanta K. Panigrahi},
journal= {arXiv preprint arXiv:2004.09973},
year = {2021}
}
Comments
6 pages, 2 figures