Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.060407
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Funding
- Air Force Office of Scientific Research [FA9550-16-1-0387]
- National Science Foundation [PHY-1505496]
- Army Research Office [W911NF-17-1-0128]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1505496] Funding Source: National Science Foundation
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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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