Mainz 2026 – scientific programme

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A: Fachverband Atomphysik

A 43: Ultra-cold Atoms, Ions and BEC VI (joint session A/Q)

A 43.6: Talk

Friday, March 6, 2026, 15:45–16:00, N 1

Edge localized states in the bosonic SSH model with interaction. — •Anna Posazhennikova and Tara Steinhöfel — Institut für Physik, Universität Greifswald, Greifswald, Germany

We study the bosonic SSH chain with Hubbard on-site interaction, at zero temperature. Since the model can be viewed as a merger of the Bose-Hubbard and Su-Schrieffer-Heeger model, it is expected to undergo both a quantum phase transition from a superfluid Bose-Einstein condensate to a so-called Mott insulator, as well as a topological phase transition when changing dimerization patterns. We find for the topologically nontrivial limit and sufficiently weak interactions, there are edge localized hole states and discuss their origin.

Keywords: SSH model with interaction; Mott superfluid quantum phase transitions; Edge states