Quantized pumping and phase diagram topology of interacting bosons

Abstract

Interacting lattice bosons at integer filling can support two distinct insulating phases, which are separated by a critical point: the Mott insulator and the Haldane insulator[Phys. Rev. Lett. 97, 260401 (2006)]. The critical point can be gapped out by breaking lattice inversion symmetry. Here, we show that encircling this critical point adiabatically pumps one boson across the system. When multiple chains are coupled, the two insulating phases are no longer sharply distinct, but the pumping property survives. This leads to strict constraints on the topology of the phase diagram of systems of quasi-one dimensional interacting bosons.

4 pages, 2 figures + supplementary information; published version

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• Quantisation and its breakdown in a Hubbard-Thouless pump
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• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Breakdown of topological Thouless pumping in the strongly interacting regime
• Distinct trivial phases protected by a point-group symmetry in quantum spin chains
• Intertwined Topological Phases induced by Emergent Symmetry Protection
• Topological charge pumping of bound bosonic pairs
• Effect of disorder on topological charge pumping in the Rice-Mele model
• Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
• Fermionized parafermions and symmetry-enriched Majorana modes
• Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains
• Interaction Induced Topological Charge Pump
• Interactions enable Thouless pumping in a nonsliding lattice
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• Fast and accurate Cooper pair pump
• Topological pumping in the one-dimensional Bose-Hubbard model
• Effects of Dephasing on Quantum Adiabatic Pumping with Nonequilibrium Initial States
• Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
• Stabilization of Hubbard-Thouless pumps through nonlocal fermionic repulsion
• A topological classification of interaction-driven spin pumps
• Nonlinear Thouless Pumping of Solitons Across an Impurity
• Bosonic integer quantum Hall effect as topological pumping
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Topological quantum pump of strongly interacting fermions in coupled chains
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Growing quantum states with topological order
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Interactions and the Theta Term in One-Dimensional Gapped Systems
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Absence of disordered Thouless pumps at finite frequency
• Equivariant Parameter Families of Spin Chains: A Discrete MPS Formulation
• Persistence of phase boundaries between a topological and trivial Z2 insulator
• Perturbative and global anomalies in bosonic analogues of integer quantum Hall and topological insulator phases