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RESEARCH PRODUCT

Detecting topology through dynamics in interacting fermionic wires

Matteo RizziMatteo RizziAndreas HallerPietro MassignanPietro Massignan

subject

Strongly Correlated Electrons (cond-mat.str-el)business.industrymedia_common.quotation_subjectLibrary scienceFOS: Physical sciencesTopologyTopologiaCondensed Matter - Strongly Correlated ElectronsHospitalityDynamics (music)ExcellenceQuantum Gases (cond-mat.quant-gas):Física::Física de fluids::Física de gasos [Àrees temàtiques de la UPC]Center (algebra and category theory)ddc:530SociologyGasesFermionic wiresCondensed Matter - Quantum Gasesbusinessmedia_common

description

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product State simulations of interacting Su-Schrieffer-Heeger (SSH) chains, demonstrating how the mean chiral displacement allows to distinguish between topological insulator, trivial insulator and symmetry-broken phases. Finally, we provide an experimental blueprint for realizing a model displaying these three phases and describe how to detect those.

10.1103/physrevresearch.2.033200http://hdl.handle.net/2117/335441