Ultra-cold bosons in zig-zag optical lattices

Abstract

Ultra-cold bosons in zig-zag optical lattices present a rich physics due to the interplay between frustration, induced by lattice geometry, two-body interaction and three-body constraint. Unconstrained bosons may develop chiral superfluidity and a Mott-insulator even at vanishingly small interactions. Bosons with a three-body constraint allow for a Haldane-insulator phase in non-polar gases, as well as pair-superfluidity and density wave phases for attractive interactions. These phases may be created and detected within the current state of the art techniques.

8 pages, 9 figures

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Cited by in corpus (50)

• Atomic quantum gases in periodically driven optical lattices
• The Anyon Hubbard Model in One-Dimensional Optical Lattices
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Semi-synthetic zigzag optical lattice for ultracold bosons
• One-dimensional sawtooth and zigzag lattices for ultracold atoms
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Dipolar Spin Models with Arrays of Superconducting Qubits
• Topological charge pumping of bound bosonic pairs
• Interaction-induced topological properties of two bosons in flat-band systems
• Chiral Bosonic Mott Insulator on the Frustrated Triangular Lattice
• Bloch dynamics in lattices with long range hoppings
• Current fidelity susceptibility and conductivity in one-dimensional lattice models with open and periodic boundary conditions
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Bose-Hubbard triangular ladder in an artificial gauge field
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Frustrated magnets without geometrical frustration in bosonic flux ladders
• Supersolid in a one-dimensional model of hard-core bosons
• Polar molecules in frustrated triangular ladders
• Exactly Solvable Points and Symmetry-Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
• Hardcore bosons in a zig-zag optical superlattice
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
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• Quantum criticality in interacting bosonic Kitaev-Hubbard models
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• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
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• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
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• Chiral phases and dynamics of dipoles in triangular optical ladders
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light
• Frustrated plane-polarized dipoles in one dimension
• Local Hamiltonians for one-dimensional critical models