Supersolid formation in a dipolar condensate by roton instability
- URL: http://arxiv.org/abs/2305.19811v1
- Date: Wed, 31 May 2023 12:51:39 GMT
- Title: Supersolid formation in a dipolar condensate by roton instability
- Authors: Aitor Ala\~na, I\~nigo L. Egusquiza and Michele Modugno
- Abstract summary: We characterize the role of the roton instability in the formation of a supersolid state of an elongated dipolar condensate.
We perform dynamical simulations by means of the extended Gross-Pitaevskii equation including quantum corrections.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We characterize the role of the roton instability in the formation of a
supersolid state of an elongated dipolar condensate, following a quench of the
contact interactions across the superfluid-supersolid transition, as observed
in recent experiments. We perform dynamical simulations by means of the
extended Gross-Pitaevskii equation including quantum corrections, for different
final values of the $s-$wave scattering length. The corresponding excitation
spectrum is computed using an effective one-dimensional description, revealing
that the calculated growth rates of the unstable roton mode accurately
reproduce the observed behavior. Our results provide valuable insights
regarding the formation time of the supersolid and its scaling behavior with
respect to the $s$-wave scattering length.
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