Realizing the Haldane Phase with Bosons in Optical Lattices

Abstract

We analyze an experimentally realizable model of bosons in a zig-zag optical lattice, showing that by rapidly modulating the magnetic field one can tune interaction parameters and realize an analog of the Haldane phase. We explain how quantum gas microscopy can be used to detect this phase's non-local string order and its topological edge states. We model the detection process. We also find that this model can display supersolid correlations, but argue that they only occur at parameter values which would be challenging to realize in an experiment.

5 pages, 4 figures + supplemental material

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• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
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• Local entanglement and String Order Parameter in dimerized models
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• Parity-dependent phase diagrams in spin-cluster two-leg ladders
• Non-adiabatic dynamics of the entanglement entropy in a symmetry-breaking Haldane insulator
• Frustrated plane-polarized dipoles in one dimension
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice