Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices

Abstract

Ultra-cold atoms in 1D bi-chromatic lattices constitute a surprisingly simple system for the study of topological insulators. We show that topological phase transitions constitute a general feature of bosons in 1D bi-chromatic lattices, and that these transitions may occur both as a function of the superlattice strength and due to inter-site interactions. We discuss in addition the topological character of incommensurate density wave phases in quasi-periodic lattices.

5 pages, 4 figures

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• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
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• Two-body physics in the Su-Schrieffer-Heeger model
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
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• Generalized Aubry-André-Harper model with p-wave superconducting pairing
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
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• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Quantum phases and topological properties of interacting fermions in one-dimensional superlattices
• Topological nature of magnetization plateaus in periodically modulated quantum spin chains
• Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Anomalous charge pumping in a one-dimensional optical superlattice
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Structural spillage: an efficient method to identify non-crystalline topological materials
• Magnetically-Confined Bound States in Rashba Systems
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Hubbard models and state preparation in an optical Lieb lattice
• Polaron in a non-abelian Aubry-André-Harper model with \textit{p}-wave superfluidity
• Topologically nontrivial states in one-dimensional nonlinear bichromatic superlattices
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Topological bosonic states on ribbons of honeycomb lattice
• The $\pi$ Berry Phase and Topological Excitation in Interacting Boson-Fermion Mixtures
• Preparation of edge states by shaking boundaries
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study