Two-dimensional supersolidity in a circular trap

by T. Bland, E. Poli, C. Politi, L. Klaus, M. A. Norcia, F. Ferlaino, L. Santos, R. N. Bisset
Abstract:
Dipolar condensates have recently been coaxed into supersolid phases supporting both superfluid and crystal excitations. While one-dimensional (1D) supersolids may be prepared via a roton instability, we find that such a procedure in two dimensions (2D) leads to greater heating. We go on to show that 2D roton modes have little in common with the supersolid configuration: instead, unstable centralized rotons trigger a process of nonlinear crystal growth. By evaporatively cooling directly into the supersolid phase–hence bypassing the first-order roton instability–we experimentally produce a 2D supersolid in a near-circular trap. We develop a stochastic Gross-Pitaevskii theory that includes beyond-meanfield effects to further explore the formation process. We calculate the static structure factor for a 2D supersolid, and compare to a 1D array. These results provide insight into the process of supersolid formation in 2D, and define a realistic path to the formation of large two-dimensional supersolid arrays.
Reference:
Two-dimensional supersolidity in a circular trap,
T. Bland, E. Poli, C. Politi, L. Klaus, M. A. Norcia, F. Ferlaino, L. Santos, R. N. Bisset,
arXiv:2107.06680, 2021.
Bibtex Entry:
@article{bland2021twodimensional,
      title={Two-dimensional supersolidity in a circular trap}, 
      author={T. Bland and E. Poli and C. Politi and L. Klaus and M. A. Norcia and F. Ferlaino and L. Santos and R. N. Bisset},
      year={2021},
	  month = {Jul},
      eprint={2107.06680},
      archivePrefix={arXiv},
      primaryClass={cond-mat.quant-gas},
	  journal={arXiv:2107.06680},
	  abstract = {Dipolar condensates have recently been coaxed into supersolid phases supporting both superfluid and crystal excitations. While one-dimensional (1D) supersolids may be prepared via a roton instability, we find that such a procedure in two dimensions (2D) leads to greater heating. We go on to show that 2D roton modes have little in common with the supersolid configuration: instead, unstable centralized rotons trigger a process of nonlinear crystal growth. By evaporatively cooling directly into the supersolid phase--hence bypassing the first-order roton instability--we experimentally produce a 2D supersolid in a near-circular trap. We develop a stochastic Gross-Pitaevskii theory that includes beyond-meanfield effects to further explore the formation process. We calculate the static structure factor for a 2D supersolid, and compare to a 1D array. These results provide insight into the process of supersolid formation in 2D, and define a realistic path to the formation of large two-dimensional supersolid arrays. },
	  url = {http://arxiv.org/abs/2107.06680},
	  arXiv = {http://arxiv.org/abs/2107.06680}
}