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Q: Fachverband Quantenoptik und Photonik
Q 4: Rydberg Atoms, Ions, and Molecules (joint session Q/MO)
Q 4.6: Vortrag
Montag, 10. März 2025, 12:15–12:30, HS I
Roughening dynamics of quantum interfaces — Wladislaw Krinitsin1,2, •Niklas Tausendpfund1,3, Matteo Rizzi1,3, Markus Heyl4, and Markus Schmitt1,2 — 1Institute of Quantum Control (PGI-8), Forschungszentrum Jülich, Jülich, Germany — 2Faculty of Informatics and Data Science, University of Regensburg, Regensburg, Germany — 3Institute for Theoretical Physics, University of Cologne, Köln, Germany — 4Center for Electronic Correlations and Magnetism, University of Augsburg, Augsburg, Germany
The roughening transition, known from three-dimensional classical spin systems, describes how fluctuations of interfaces transition from being bounded to being extensive when crossing the characteristic roughening temperature. We explore signatures of such phenomena in the dynamics of domain walls in the two dimensional quantum Ising model, where we observe pre-thermal steady states in their evolution well beyond the perturbative limit using Tree Tensor Networks. We formulate an effective model of the interface, which captures qualitative features of a roughening transition. Most notably, it exhibits a Berezinskii Kosterlitz Thouless quantum phase transition from smooth to rough interfaces, whose signatures extend to finite temperatures. These findings can be related to the observed slow thermalization in the full model, opening the way to a better understanding of pre-thermalization effects in interface dynamics, which can be easily implemented and tested in experimental setups such as Rydberg atom experiments.
Keywords: Transverse Field Ising Model; Non-Equilibrium Dynamics; Tensor Networks; Two-Dimensional Quantum System; Roughening Transition