Bonn 2025 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 49: Poster – Photonics, Lasers, and Applications

Q 49.28: Poster

Mittwoch, 12. März 2025, 17:00–19:00, Tent

Quantum lattice solitons in a two-dimensional Harper-Hofstadter model — •Hugo Gerlitz, Julius Bohm, and Michael Fleischhauer — Department of Physics and Research Center OPTIMAS, University of Kaiserslautern-Landau, 67663 Kaiserslautern

Since the discovery of the integer quantum Hall effect, topological 2D lattice models have attracted significant interest in many-body physics. These models can be simulated using ultra-cold atoms in optical lattices [1]. Recent experiments were able to investigate lattice solitons in waveguides with nonlinear Kerr media [2].

In one-dimensional systems a quantum mechanical description of solitons in topological lattice models is typically done by exact diagonalization and tensor network approaches. These approaches are strongly limited by the system size and thus less efficient in higher dimensions. The examination of a reduced Hilbert-space to describe the 1D solitons was succesful in reproducing well known quantities like effective Chern numbers and Wilson loops. Motivated by this we here present the reduced quantum mechanical description of an interacting two-dimensional Harper-Hofstadter model and investigate the emerging soliton properties.

[1]: I. Bloch, Rev. Mod. Phys. 80, 885 (2008)

[2]: Jürgensen et. al., Nature 596, 63-67 (2021)

Keywords: Topology; Waveguides; Kerr Effect; Nonlinear; Soliton