Quantum hydrodynamics for supersolid crystals and quasicrystals
Name
PhysRevA.99.063621.pdf
Description
Published version
Size
1.43 MB
Format
Adobe PDF
Checksum (MD5)
5261be70b438e9bd3b1fbbce4d504b54
Author(s)
Heinonen, Vili
Burns, Keaton James
Dunkel, Joern
Date Issued
June 2019
Journal
Physical Review A
Publisher
American Physical Society (APS)
Citation
Heinonen, Vili et al. "Quantum hydrodynamics for supersolid crystals and quasicrystals." Physical Review A 99, 6 (June 2019): 063621 © 2019 American Physical Society
Version
Final published version
Abstract
Supersolids are theoretically predicted quantum states that break the continuous rotational and translational symmetries of liquids while preserving superfluid transport properties. Over the last decade, much progress has been made in understanding and characterizing supersolid phases through numerical simulations for specific interaction potentials. The formulation of an analytically tractable framework for generic interactions still poses theoretical challenges. By going beyond the usually considered quadratic truncations, we derive a systematic higher-order generalization of the Gross-Pitaevskii mean-field model in conceptual similarity with the Swift-Hohenberg theory of pattern formation. We demonstrate the tractability of this broadly applicable approach by determining the ground-state phase diagram and the dispersion relations for the supersolid lattice vibrations in terms of the potential parameters. Our analytical predictions agree well with numerical results from direct hydrodynamic simulations and earlier quantum Monte Carlo studies. The underlying framework is universal and can be extended to anisotropic pair potentials with a complex Fourier-space structure.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/physreva.99.063621
