Bonn 2025 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 30: Ultra-cold Atoms, Ions and BEC IV (joint session A/Q)
A 30.2: Vortrag
Donnerstag, 13. März 2025, 14:45–15:00, GrHS Mathe
Quantum Monte Carlo simulations of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices — •Robin Rüdiger Krill1,2, Jan Alexander Koziol2, Calvin Krämer2, Anja Langheld2, Giovanna Morigi1, and Kai Phillip Schmidt2 — 1Theoretische Physik, Universität des Saarlandes, 66123 Saarbrücken, Germany — 2Department für Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen, Germany
We study the extented Bose-Hubbard model, describing bosons in optical lattices that interact with long-range repulsive forces. The forces are algebraically decaying with the distance, the Bose-Hubbard model is extended by adding a repulsive density-density interaction term. We determine the quantum phase diagram for hard-core bosons using a Stochastic Series Expansion quantum Monte Carlo algorithm, where we develop a sampling procedure to account for the long-range interactions in directed loop updates. We then determine the phase diagram on the two-dimensional square and triangular lattice, where a mean-field study predicts rich quantum phase diagrams including a devil's staircase of solid phases and a plethora of exotic lattice supersolids [1].
[1] J. A. Koziol, G. Morigi, K. P. Schmidt, SciPost Physics 17.4 (2024)
Keywords: Quantum Monte Carlo; Bose-Hubbard model; lattice model; Stochastic Series Expansion; long-range interactions