Rostock 2019 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 12: Quantum Gases (Bosons and Fermions) I
Q 12.3: Talk
Monday, March 11, 2019, 14:30–14:45, S HS 037 Informatik
Measuring the topological phase transition via the single-particle density matrix — •Jun-Hui Zheng1, Bernhard Irsigler1, Lijia Jiang2, Christof Weitenberg3,4, and Walter Hofstetter1 — 1Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt am Main, Germany — 2Frankfurt Institute for Advanced Studies, 60438 Frankfurt am Main, Germany — 3Institut für Laserphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — 4Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
We discuss the topological phase transition of the experimentally realizable spin-1/2 fermionic Haldane model with repulsive on-site interaction. We show that the Berry curvature of the topological Hamiltonian, the first Chern number, and the topological phase transition point can be extracted from the single-particle density matrix for this interacting system. Furthermore, we design a scheme for tomography of the single-particle density matrix of interacting fermions in two-dimensional optical lattices with a two-sublattice structure in cold atom experiments.