Many-body Aharonov-Bohm caging in a lattice of rings

Abstract

We study a system of a few ultracold bosons loaded into the states with orbital angular momentum $l=1$ of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers $+l$ and $-l$ form a Creutz ladder with a real dimension and a synthetic one. States with opposite winding numbers in adjacent rings are coupled through complex tunnelings, which can be tuned by modifying the central angle $\varphi$ of the lattice. We analyze both the single-particle case and the few boson bound-state subspaces for the regime of strong interactions using perturbation theory, showing how the geometry of the system can be engineered to produce an effective $\pi$-flux through the plaquettes. We find non-trivial topological band structures and many-body Aharonov-Bohm caging in the $N$-particle subspaces even in the presence of a dispersive single-particle spectrum. Additionally, we study the family of models where the angle $\varphi$ is introduced at an arbitrary lattice periodicity $\Gamma$. For $\Gamma >2$, the $\pi$-flux becomes non-uniform, which enlarges the spatial extent of the Aharonov-Bohm caging as the number of flat bands in the spectrum increases. All the analytical results are benchmarked through exact diagonalization.

arXiv comment12 pages, 14 figures

References in corpus (48)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Artificial gauge potentials for neutral atoms
• Light-induced gauge fields for ultracold atoms
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
• Aharonov-Bohm cages in two-dimensional structures
• Driving phase slips in a superfluid atom circuit with a rotating weak link
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
• Quench-induced supercurrents in an annular Bose gas
• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
• Roadmap on Atomtronics: State of the art and perspective
• Direct imaging of a digital-micromirror device for configurable microscopic optical potentials
• Interaction induced delocalisation for two particles in a periodic potential
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• Magnetic field induced localization in a two-dimensional superconducting wire network
• Preformed pairs in flat Bloch bands
• Physics of higher orbital bands in optical lattices: a review
• Two-body physics in the Su-Schrieffer-Heeger model
• Topological edge states of bound photon pairs
• Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
• Geometry induced pair condensation
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• One-dimensional sawtooth and zigzag lattices for ultracold atoms
• Experimental observation of Aharonov-Bohm caging using orbital angular momentum modes in optical waveguides
• Nonlinear dynamics of Aharonov-Bohm cages
• Topology-induced phase transitions in quantum spin Hall lattices
• Long-range doublon transfer in a dimer chain induced by topology and ac fields
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
• Coherent control of interacting particles using dynamical and Aharonov-Bohm phases
• Multihole edge states in Su-Schrieffer-Heeger chains with interactions
• Topological two-body bound states in the interacting Haldane model
• Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices
• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Orbital optical lattices with bosons
• Interaction-induced topological properties of two bosons in flat-band systems
• Nonlinear symmetry breaking of Aharonov-Bohm cages
• Geometrically induced complex tunnelings for ultracold atoms carrying orbital angular momentum
• Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice
• Beyond hard-core bosons in transmon arrays
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices
• Quantum magnetism with ultracold bosons carrying orbital angular momentum

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• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Effects of Peierls phases in open linear chains
• Flux-mediated effective Su-Schrieffer-Heeger model in an impurity decorated diamond chain
• Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
• Impurity flat band states in the diamond chain
• Synthetic $\pi$-flux system in 2D superconducting qubit array with tunable coupling
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Controlled acoustic-driven vortex transport in coupled superfluid rings