Yoshida T, Danshita I, Peters R, Kawakami N. Reduction of Topological Z Classification in Cold-Atom Systems.
PHYSICAL REVIEW LETTERS 2018;
121:025301. [PMID:
30085705 DOI:
10.1103/physrevlett.121.025301]
[Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/27/2017] [Revised: 02/28/2018] [Indexed: 06/08/2023]
Abstract
One of the most challenging problems in correlated topological systems is a realization of the reduction of topological classification, but very few experimental platforms have been proposed so far. We here demonstrate that ultracold dipolar fermions (e.g., ^{167}Er, ^{161}Dy, and ^{53}Cr) loaded in an optical lattice of two-leg ladder geometry can be the first promising test bed for the reduction Z→Z_{4}, where solid evidence for the reduction is available thanks to their high controllability. We further give a detailed account of how to experimentally access this phenomenon; around the edges, the destruction of one-particle gapless excitations can be observed by the local radio frequency spectroscopy, while that of gapless spin excitations can be observed by a time-dependent spin expectation value of a superposed state of the ground state and the first excited state. We clarify that even when the reduction occurs, a gapless edge mode is recovered around a dislocation, which can be another piece of evidence for the reduction.
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