Bonn 2025 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 26: Poster – Precision Measurement, Metrology, and Quantum Effects

Q 26.33: Poster

Dienstag, 11. März 2025, 14:00–16:00, Tent

Quantum Monte-Carlo study of the bond- and site-diluted transverse-field Ising model — •Calvin Krämer, Max Hörmann, and Kai Phillip Schmidt — Lehrstuhl für Theoretische Physik V, Staudtstraße 7, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

We study the transverse-field Ising model on a square lattice with bond- and site-dilution at T = 0 by quantum Monte Carlo simulations. By tuning the transverse field h and the dilution p, the phase diagram of both models is explored. Finite-size scaling of the order parameter and averaged Binder ratios is employed to determine the positions of critical points and the critical exponents β and ν along the critical lines and at the multi-critical point. Dynamical properties in the vicinity of the quantum critical point are analyzed through the local susceptibility. We complement these findings by stochastic analytical continuation [1] of imaginary-time Green’s functions, providing momentum-resolved insights into the behavior of excitations. [1] Anders W. Sandvik, Phys. Rev. B 57, 10287

Keywords: Quantum Monte-Carlo; Disorder; Transverse-field Ising model; Phase transitions