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Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers

AuthorsLisle, James de; De, Suvabrata; Alba, Emilio ; Bullivant, Alex; García-Ripoll, Juan José ; Lahtinen, Ville; Pachos, Jiannis K.
Issue Date8-Aug-2014
PublisherInstitute of Physics Publishing
CitationNew Journal of Physics 16: 083022 (2014)
AbstractTopological invariants, such as the Chern number, characterize topological phases of matter. Here we provide a method to detect Chern numbers in systems with two distinct species of fermion, such as spins, orbitals or several atomic states. We analytically show that the Chern number can be decomposed as a sum of component specific winding numbers, which are themselves physically observable. We apply this method to two systems, the quantum spin Hall insulator and a staggered topological superconductor, and show that (spin) Chern numbers are accurately reproduced. The measurements required for constructing the component winding numbers also enable one to probe the entanglement spectrum with respect to component partitions. Our method is particularly suited to experiments with cold atoms in optical lattices where time-of-flight images can give direct access to the relevant observables. © 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Description20 pags.; 3 figs.; app. Creative Commons Attribution 3.0 licence
Publisher version (URL)http://dx.doi.org/10.1088/1367-2630/16/8/083022
Identifiersdoi: 10.1088/1367-2630/16/8/083022
issn: 1367-2630
Appears in Collections:(CFMAC-IFF) Artículos
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