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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 2: Quantum Information and Gravity
MP 2.4: Talk
Monday, March 18, 2024, 11:20–11:40, HL 102
Area laws and thermalization from classical entropies — Yannick Deller1, Martin Gärttner1,2,3,4, •Tobias Haas5, Markus Oberthaler1, Moritz Reh1, and Helmut Strobel1 — 1Kirchhoff-Institut für Physik, Universität Heidelberg, Germany — 2nstitut für Theoretische Physik, Universität Heidelberg, Germany — 3Physikalisches Institut, Universität Heidelberg, Germany — 4Institute of Condensed Matter Theory and Optics, Friedrich-Schiller-University Jena, Germany — 5Centre for Quantum Information and Communication, Université libre de Bruxelles, Belgium
The scaling of local quantum entropies is of utmost interest for characterizing quantum fields, many-body systems and gravity. Despite their importance, being nonlinear functionals of the underlying quantum state often hinders 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.
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.
Keywords: Classical entropies; Area law; Thermalization; Scalar quantum field; Spin-1 Bose-Einstein condensate