Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 67: Cold Atomic Gases and Superfluids

TT 67.3: Vortrag

Donnerstag, 19. März 2020, 17:00–17:15, HSZ 204

Detecting topology in interacting fermionic wires via postquench observables — •Andreas Haller1, Pietro Massignan2,3, and Matteo Rizzi4,51Institute of Physics, Johannes Gutenberg University, D-55099 Mainz, Germany — 2Departament de Fìsica, Universitat Politècnica de Catalunya, Campus Nord B4-B5, 08034 Barcelona, Spain — 3ICFO -- Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain — 4Forschungszentrum Jülich, Institute of Quantum Control, Peter Grünberg Institut (PGI-8), 52425 Jülich, Germany — 5Institute for Theoretical Physics, University of Cologne, D-50937 Köln, Germany

We exploit a simple observable called "mean chiral displacement" (MCD) for interacting fermionic wires and study numerically the interacting Su-Schrieffer-Heeger (SSH) chain by means of matrix product state calculations. In particular, we propose to study the time-evolution of a simple local quench which relates the MCD to the many-body topological invariant of the Hamiltonian for weakly-correlated interacting models. We study both a short-range correlated and a long-correlated model exhibiting topological/trivial insulators and a (trivial) symmetry breaking phase, and we link the behavior of the MCD to all three phases. We provide an experimental blueprint to obtain the long-range correlated model hosting all three phases.

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