Interacting bosons in generalized zig-zag and railroad-trestle models

Abstract

We theoretically study the ground-state phase diagram of strongly interacting bosons on a generalized zig-zag ladder model, the rail-road trestle (RRT) model. By means of analytical arguments in the limits of decoupled chains and the case of vanishing fillings as well as extensive DMRG calculations we examine the rich interplay between frustration and interaction for various parameter regimes. We distinguish three different cases, the fully frustrated RRT model where the dispersion relation becomes doubly degenerate and an extensive chiral superfluid regime is found, the anti-symmetric RRT with alternating $\pi$ and $0$ fluxes through the ladder plaquettes and the sawtooth limit, which is closely related to the latter case. We study detailed phase diagrams which include besides different single component superfluids, the chiral superfluid phases, the two component superfluids and different gaped phases, with dimer and a charge-density wave order.

arXiv comment10 pages, 16 figures

References in corpus (47)

• The density-matrix renormalization group in the age of matrix product states
• Photonic Floquet Topological Insulators
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Robust optical delay lines via topological protection
• Photovoltaic Hall effect in graphene
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Bose condensation in flat bands
• Measurement of topological invariants in a 2D photonic system
• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• Chiral Ladders and the Edges of Chern Insulators
• Confirmation of a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor interactions in Rb${}_2$Cu${}_2$Mo${}_3$O${}_{12}$
• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• Spin waves and magnetic interactions in LiCu2O2
• Chiral order and electromagnetic dynamics in one-dimensional multiferroic cuprates
• Chiral Mott insulator with staggered loop currents in the fully frustrated Bose Hubbard model
• Elementary excitations in the $\Delta$-chain
• On Quantum Solitons in the Sawtooth Lattice
• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
• Ground State Phase Diagrams of Frustrated Spin-S XXZ Chains: Chiral Ordered Phases
• Semi-synthetic zigzag optical lattice for ultracold bosons
• One-dimensional sawtooth and zigzag lattices for ultracold atoms
• Ultra-cold bosons in zig-zag optical lattices
• Ground State Phase Diagram of Frustrated S=1 XXZ chains : Chiral Ordered Phases
• Phase diagrams of spin ladders with ferromagnetic legs
• Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Phase transitions in the one-dimensional spin-S $J_1-J_2$ XY model
• Quantum chiral phases in frustrated easy-plane spin chains
• Phase diagram of an asymmetric spin ladder
• Helical multiferroics for electric field controlled quantum information processing
• Supersolid in a one-dimensional model of hard-core bosons
• Polar molecules in frustrated triangular ladders
• Field theoretical study of a spin-1/2 ladder with unequal chain exchanges
• Ground-State Phase Diagram of Frustrated Antiferromagnetic S=1 Chain with Uniaxial Single-Ion-Type Anisotropy
• Frustration-induced supersolids in the absence of inter-site interactions
• Ground State of a Heisenberg Chain with Next-Nearest-Neighbor Bond Alternation
• Ground-State Phase Diagram of the XXZ Model on a Railroad-Trestle Lattice with Asymmetric Leg Interactions

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• Deconfined quantum criticality of frustrated hard-core dipolar bosons
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