Superfluid-Quasicrystal in a Bose-Einstein Condensate

Physical Review Letters
Junpeng HouChuanwei Zhang

Abstract

A quasicrystal is a class of ordered structures defying conventional classification of solid crystals and may carry classically forbidden (e.g., fivefold) rotational symmetries. In view of long-sought supersolids, a natural question is whether a superfluid can spontaneously form quasicrystalline order that is not possessed by the underlying Hamiltonian, forming "superfluid-quasicrystals." Here we show that a superfluid-quasicrystal stripe state with the minimal fivefold rotational symmetry can be realized as the ground state of a Bose-Einstein condensate within a practical experimental scheme. There exists a rich phase diagram consisting of various superfluid-quasicrystal, supersolid, and plane-wave phases. Our scheme can be generalized for generating other higher-order (e.g., sevenfold) quasicrystal states, and provides a platform for investigating such new exotic quantum matter.

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Citations

May 3, 2019·Applied Optics·Theodore A Corcovilos, Jahnavee Mittal
Jun 9, 2018·Physical Review Letters·S AuttiG E Volovik
Dec 7, 2019·Physical Review Letters·Farokh MivehvarFrancesco Piazza
Apr 3, 2021·Physical Review Letters·Ronan GautierLaurent Sanchez-Palencia

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