Hannover 2020 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 22: Posters: Quantum Optics and Photonics II

Q 22.64: Poster

Tuesday, March 10, 2020, 16:30–18:30, Empore Lichthof

Density-matrix renormalization group study of quench dynamics in the extended Bose-Hubbard model — •Sebastian Stumper, Junichi Okamoto, and Michael Thoss — Insitute of Physics, University of Freiburg, Freiburg, Germany

Dynamical quantum phase transitions (DQPTs), defined as kinks of the rate function of the Lohschmidt-echo after a global quench of the Hamiltonian, have attracted much interest over the past years. For a broad class of non-intreacting systems the occurrence of DQPTs is well established, if the initial and final Hamiltonian belong to topologically distinct phases (Phys. Rev. B 91, 155127 (2015)). On the other hand, this relation does not hold in interacting systems. The one-dimensional extended Bose-Hubbard model presents an example of an interacting model, which hosts a symmetry protected topological phase, the Haldane insulator phase, along with two trivial insulating phases, Mott insulator and density wave. We numerically investigate the dynamics of this model for quenches across phase boundaries by density-matrix renormalization group. We discuss the finite size scaling of the rate function, and show possible candidates for DQPTs.