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Bonn 2025 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 59: Ultra-cold atoms, ions and BEC IV (joint session A/Q)

Q 59.4: Vortrag

Donnerstag, 13. März 2025, 15:15–15:30, GrHS Mathe

Constrained dynamics in the two-dimensional quantum Ising model — •Luka Pavesic1,2, Daniel Jaschke1,2,3, and Simone Montangero1,21Dipartimento di Fisica e Astronomia 'G. Galilei', via Marzolo 8, I-35131 Padova, Italy — 2Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Padova, I-35131 Padova, Italy — 3Institute for Complex Quantum Systems, Ulm University, Albert-Einstein-Allee 11, 89069 Ulm, Germany

We numerically investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to 16x16 spins. In the ordered phase, the model is predicted to exhibit dynamical constraints. This leads to confinement of elementary excitations and slow thermalization.

The dynamical constraints are strongly related to the presence of domain walls. We explore how the nature of confined excitations governs the evolution of domain walls, and investigate quantum coarsening of competing domains.

The results demonstrate the ability to numerically capture dynamics of large two-dimensional interacting systems. We foresee many interesting extensions of the presented work, numerically or experimentally. As the most direct avenues, we propose the investigation of quantum coarsening, and false vacuum decay in two dimensions.

Keywords: constrained dynamics; spin systems

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