Quantum hydrodynamics for supersolid crystals and quasicrystals
Author(s)
Heinonen, Vili; Burns, Keaton James; Dunkel, Joern
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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.
Date issued
2019-06Department
Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
2469-9926
2469-9934