Superfluid-quasicrystal in a Bose-Einstein condensate
arXiv:1708.08898 · doi:10.1103/PhysRevLett.120.060407
Abstract
Quasicrystal is a class of ordered structures defying conventional classification of solid crystals and may carry classically forbidden (e.g., 5-fold) 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 5-fold 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., 7-fold) quasicrystal states, and provides a platform for investigating such new exotic quantum matter.
10 pages, 6 figures
References in corpus (9)
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Spin-orbit coupled Bose-Einstein condensates
- Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
- Stability of ultracold atomic Bose condensates with Rashba spin-orbit coupling against quantum and thermal fluctuations
- Spin-orbit coupled two-electron Fermi gases of ytterbium atoms
- Spin-tensor--momentum-coupled Bose-Einstein condensates
Cited by in corpus (24)
- Observation of time quasicrystal and its transition to superfluid time crystal
- Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
- Experimental realization of a superfluid stripe phase in a spin-orbit-coupled Bose-Einstein condensate enabled by momentum-space hopping
- Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
- Emergent Quasicrystalline Symmetry in Light-Induced Quantum Phase Transitions
- Quantum hydrodynamics for supersolid crystals and quasicrystals
- Self-bound droplet clusters in laser-driven Bose-Einstein condensates
- Mean-field study of the Bose-Hubbard model in Penrose lattice
- Quantum Cluster Quasicrystals
- Mean-field phases of an ultracold gas in a quasicrystalline potential
- Two-dimensional optical quasicrystal potentials for ultracold atom experiments
- High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
- Quasicrystalline Bose glass in the absence of disorder and quasidisorder
- Nonmonotonic crossover and scaling behaviors in a disordered 1D quasicrystal
- Nematic Superconductivity and Its Critical Vestigial Phases in the Quasi-crystal
- Exploring quantum quasicrystal patterns: a variational study
- Cooper instability and superconductivity on the Penrose lattice
- Dimers and discrete breathers in Bose-Einstein condensates in a quasi-periodic potential
- Higher-order topological corner states induced solely by onsite potentials with mirror symmetry
- Cluster stability driven by quantum fluctuations
- Superconductivity and charge-density-wave in the Holstein model on the Penrose Lattice
- Stability of dipolar bosons in a quasiperiodic potential
- Momentum-space Aharonov-Bohm interferometry in Rashba spin-orbit coupled Bose-Einstein condensates
- Emergent aperiodicity in Bose-Bose mixtures induced by spin-dependent periodic potentials