Ground-state stability and excitation spectrum of a one-dimensional dipolar supersolid

Tobias Ilg and Hans Peter Büchler
Phys. Rev. A 107, 013314 – Published 31 January 2023

Abstract

We study the behavior of the excitation spectrum across the quantum phase transition from a superfluid to a supersolid phase of a dipolar Bose gas confined to a one-dimensional geometry. Including the leading beyond-mean-field effects within an effective Hamiltonian, the analysis is based on Bogoliubov theory with several order parameters accounting for the superfluid as well as solid structure. We find fast convergence of the ground-state energy in the supersolid with the number of order parameters and demonstrate a stable excitation spectrum with two Goldstone modes and an amplitude mode in the low-energy regime. Our results suggest that there exists an experimentally achievable parameter regime for dysprosium atoms, where the supersolid phase exhibits a stable excitation spectrum in the thermodynamic limit and the transition into the supersolid phase is of second order driven by the roton instability.

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  • Received 1 December 2022
  • Accepted 18 January 2023

DOI:https://doi.org/10.1103/PhysRevA.107.013314

©2023 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Tobias Ilg and Hans Peter Büchler

  • Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology, University of Stuttgart, DE-70550 Stuttgart, Germany

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Issue

Vol. 107, Iss. 1 — January 2023

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