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DTSTART;TZID=Europe/Paris:20260311T110000
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DTSTAMP:20260305T143844Z
CREATED:20260305T143839Z
LAST-MODIFIED:20260305T143844Z
UID:10000092-1773226800-1773230400@sfp-alpes.fr
SUMMARY:Tymoteusz TULA (LPMMC\, CNRS\, Grenoble)
DESCRIPTION:One-to-one correspondence between two-point correlators and entanglement in magnetic systems\nRésumé : \nThere are multiple measures of multipartite entanglement — including entanglement in thermal mixtures — currently used to study many-body interacting systems. Recently\, Quantum Fisher Information has been proposed as a multipartite entanglement measure that can be connected to experimentally accessible observables. In this talk\, I will present our recent findings about a one-to-one correspondence between two-point correlators and a certain general class of Heisenberg-like Hamiltonians and wavefunctions. This is a foundation of our claim that a mapping from finite-temperature observables to any entanglement measure exists for such systems. Furthermore\, I will present our results of training a convolutional neural network (CNN) to recognize and predict the entanglement for one-dimensional anisotropic XY and XYZ models\, which exhibit an entanglement transition. From our preliminary results we found that entanglement can be accurately predicted by a CNN using both static and dynamical correlators\, even when the network is trained on only a fraction of the full dataset or on data from a different system than the one used for prediction. Specifically\, when trained on observables from an anisotropic XY model\, accurate predictions can be achieved using only about 3% (6%) of the data when employing dynamical two-point correlators (structure factors) for learning. \nContact : pierre.nataf@lpmmc.cnrs.fr
URL:https://sfp-alpes.fr/event/tymoteusz-tula-lpmmc-cnrs-grenoble/
LOCATION:LPMMC – salle Roger Maynard (G421)\, CNRS - LPMMC 25 avenue des Martyrs\, Grenoble\, 38042\, France
CATEGORIES:Séminaire
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