Bonn 2025 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
QI: Fachverband Quanteninformation
QI 33: Quantum Materials and Many-Body Systems
QI 33.2: Talk
Thursday, March 13, 2025, 14:45–15:00, HS VIII
Quantum features from classical entropies — Yannick Deller1, Martin Gärttner2, •Tobias Haas3, Markus K. Oberthaler1, Moritz Reh1,2, and Helmut Strobel1 — 1Kirchhoff-Institut für Physik, Universität Heidelberg — 2Institut für Festkörpertheorie und Optik, Friedrich-Schiller-Universität Jena — 3Centre for Quantum Information and Communication, Université libre de Bruxelles
Local quantum entropies are of utmost interest in characterizing quantum fields, many-body systems, and gravity. Despite their importance, being nonlinear functionals of the underlying quantum state often hinder their theoretical as well as experimental accessibility. Here, we show that suitably chosen classical entropies of standard measurement distributions capture the very same features as their quantum analogs while remaining accessible even in high-dimensional Hilbert spaces.
We demonstrate the presence of the celebrated area law for classical entropies for typical states, such as ground and excited states of a scalar quantum field. Further, we consider the post-quench dynamics of a multi-well spin-1 Bose-Einstein condensate from an initial product state, in which case we observe the dynamical build-up of quantum correlations signaled by the area law, as well as local thermalization revealed by a transition to a volume law, both in regimes characterized by non-Gaussian quantum states and small sample numbers.
arXiv:2404.12320, 2404.12321, 2404.12323.
Keywords: Entropy; Area Law; Entanglement in Quantum Field Theory; Spin-1 Bose-Einstein Condensate