Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients

Abstract

One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symmetry. Recent developments of ring-shaped optical lattices allow a systematic study of those properties in superlattices with or without boundaries. While superlattices with additional modulating parameters are shown to have quantized topological invariants in the augmented parameter space, we also found localized or zero-energy states associated with symmetries of the Hamiltonians. Probing those states in ultracold-atoms is possible by utilizing recently proposed methods analyzing particle depletion or the local density of states. Moreover, we summarize feasible realizations of configurable optical superlattices using currently available techniques.

11 pages, 10 figures

References in corpus (5)

• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Direct imaging of topological edge states in cold-atom systems
• Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
• Spatial shaping for generating arbitrary optical dipoles traps for ultracold degenerate gases
• Topological bands in one-dimensional periodic potentials

Cited by in corpus (12)

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• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
• Topology of multipartite non-Hermitian one-dimensional systems
• Topological pumping in Aharonov-Bohm rings
• Creation and annihilation of mobile fractional solitons in atomic chains
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Mobile Kink Solitons in a Van der Waals Charge-Density-Wave Layer
• Fast and selective inter-band transfer of ultracold atoms in bichromatic lattices permitting Dirac points
• Topological edge states and disorder robustness in one-dimensional off-diagonal mosaic lattices