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Paper   IPM / Physic / 15660
School of Physics
  Title:   Rotons and Bose condensation in Rydberg-dressed Bose Gases
1.  I. Seydi
2.  S. H. Abedinpour
3.  R. E. Zillich
4.  R. Asgari
5.  B. Tanatar
  Status:   Published
  Journal: Phys. Rev. A
  No.:  1
  Vol.:  101
  Year:  2020
  Pages:   013628
  Supported by:  IPM
We investigate the ground-state properties and excitations of Rydberg-dressed bosons in both three and two dimensions, using the hypernetted-chain Euler-Lagrange approximation, which accounts for correlations and thus goes beyond the mean field approximation. The short-range behavior of the pair distribution function signals the instability of the homogeneous system towards the formation of droplet crystals at strong couplings and large soft-core radius. This tendency to spatial density modulation coexists with off-diagonal long-range order. The contribution of the correlation energy to the ground-state energy is significant at large coupling strengths and intermediate values of the soft-core radius while for a larger soft-core radius the ground-state energy is dominated by the mean-field (Hartree) energy. We have also performed path integral Monte Carlo simulations to verify the performance of our hypernetted-chain Euler-Lagrange results in three dimensions. In the homogeneous phase, the two approaches are in very good agreement. Moreover, Monte Carlo simulations predict a first-order quantum phase transition from a homogeneous superfluid phase to the quantum droplet phase with face-centered cubic symmetry for Rydberg-dressed bosons in three dimensions.

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