Regensburg 2019 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 29: Quantum information systems

MA 29.4: Vortrag

Mittwoch, 3. April 2019, 10:15–10:30, H53

Edge mode locality of symmetry protected topologically ordered spin chains under perturbations — •Marcel Goihl, Christian Krumnow, Marek Gluza, Jens Eisert, and Nicolas Tarantino — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

Spin chains with a symmetry-protected ground state degeneracy are the prototypical systems for exploring topological effects in quantum systems. Recently, various methods of classifying topological order were established and particular representatives, known as fixed-point models, of different classes were constructed. Motivated by on-going experimental developments towards realizing such systems by way of quantum simulation and material engineering, we study how localized edge modes in these systems are deformed by local interactions and disorder. By designing numerical methods for constructing locally conserved operators, we find that interactions of all kinds delocalize the edge modes. The sensitivity of the edge mode operators to disorder is dependent not only on the disorder strength but also the choice and strength of the interaction as well as the edge mode operator being studied. In the many-body interacting regime, we find that one edge mode operator behaves as if subjected to a non-interacting perturbation. This implies that in finite systems edge mode operators effectively delocalize at distinct interaction strengths.