Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 66: Quantum Effects IV
Q 66.7: Talk
Friday, March 18, 2022, 12:00–12:15, Q-H13
Certification of High-Dimensional Entanglement in Ultracold Atom Systems — •Niklas Euler1,2 and Martin Gärttner1,2,3 — 1Physikalisches Institut, Universität Heidelberg, Heidelberg, Germany — 2Kirchhoff-Institut für Physik, Universität Heidelberg, Heidelberg, Germany — 3Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany
Quantum entanglement has been identified as a crucial concept underlying many intriguing phenomena in condensed matter systems. Recently, instead of considering mere quantifiers of entanglement like entanglement entropy, the study of entanglement structure in terms of the entanglement spectrum has shifted into focus, leading to new insights into topological phases and many-body localization, among others. What remains a challenge is the experimental detection of such fine-grained properties of quantum systems. Here we present a method to bound the width of the entanglement spectrum or entanglement dimension of cold atoms in lattice geometries, requiring only measurements in two experimentally accessible bases and utilizing ballistic time-of-flight (ToF) expansion. Building on previous proposals for entanglement certification for photon pairs, we first consider entanglement between two atoms of different atomic species and later generalize to higher numbers of atoms per species and multispecies configurations showing multipartite high-dimensional entanglement. Through numerical simulations of a Fermi-Hubbard system we demonstrate that our method is robust against typical experimental noise effects and that the required measurement statistics is manageable.