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Q: Fachverband Quantenoptik und Photonik

Q 4: Quantum gases (Fermions) I

Q 4.3: Vortrag

Montag, 9. März 2020, 11:30–11:45, e214

Detecting topology in interacting fermionic wires via post-quench observables — Andreas Haller¹, Pietro Massignan^2,3, and •Matteo Rizzi^4,5 — ¹Institute 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.