Protocols for dynamically probing topological edge states and dimerization with fermionic atoms in optical potentials

Abstract

Topological behavior has been observed in quantum systems including ultracold atoms. However, background harmonic traps for cold-atoms hinder direct detection of topological edge states arising at the boundary because the distortion fuses the edge states into the bulk. We propose experimentally feasible protocols to probe localized edge states and dimerization of ultracold fermions. By confining cold-atoms in a ring lattice and changing the boundary condition from periodic to open using an off-resonant laser sheet to cut open the ring, topological edge states can be generated. A lattice in a topological configuration can trap a single particle released at the edge as the system evolves in time. Alternatively, depleting an initially filled lattice away from the boundary reveals the occupied edge states. Signatures of dimerization in the presence of contact interactions can be found in selected correlations as the system boundary suddenly changes from periodic to open and exhibit memory effects of the initial state distinguishing different configurations or phases.

6 pages, 3 figures

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Cited by in corpus (7)

• Persistent currents in rings of ultracold fermionic atoms
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Realizing the Harper model with Ultracold Atoms in a Ring Lattice
• Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients
• Measurement of a ${}^7$Li tune-out wavelength by phase-patterned atom interferometry
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems