Semi-synthetic zigzag optical lattice for ultracold bosons

Abstract

We consider a one-dimensional "zigzag" lattice, pictured as a two-site wide single strip taken from a triangular lattice, affected by a tunable homogeneous magnetic flux piercing its triangular plaquettes. We focus on a semi-synthetic lattice produced by combining a one-dimensional spin-dependent lattice in the long direction with laser-induced transitions between atomic internal states that define the short synthetic dimension. In contrast to previous studies on semi-synthetic lattices, the atom-atom interactions are nonlocal in both lattice directions. We investigate the ground-state properties of the system for the case of strongly interacting bosons, and find that the interplay between the frustration induced by the magnetic field and the interactions gives rise to an exotic gapped phase at fractional filling factors corresponding to one particle per magnetic unit cell.

9 pages, 6 figures; v3: final version to appear in PRA

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• Strings of ultracold molecules in a synthetic dimension
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Colloquium: Synthetic quantum matter in non-standard geometries
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
• Spin-gap spectroscopy in a bosonic flux ladder
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling
• Meissner effect in Fock space
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
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• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• One-dimensional Dexter-type excitonic topological phase transition
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
• Two-particle topological Thouless spin pump
• Meissner-Like Currents of Photons in Anomalous Superradiant Phases
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light