Quantum 2025 – scientific programme
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MON: Monday Contributed Sessions
MON 9: Quantum Entanglement
MON 9.1: Talk
Monday, September 8, 2025, 14:15–14:30, ZHG101
Measurable entanglement lower bounds for cold atom quantum simulators using kinetic operators — •Maike Reckermann1, Niklas Euler1,2, and Martin Gärttner1 — 1Institute of Condensed Matter Theory and Optics, Friedrich-Schiller-University Jena, Germany — 2Physikalisches Institut, Universität Heidelberg, Deutschland
The entanglement dimension plays a key role for understanding quantum many-body phenomena such as topological order, recently realized with cold atoms in lattice geometries. Although, it is challenging to measure the entanglement spectrum directly, the entanglement dimension, which is the number of non-zero values in the spectrum, can be lower bounded with measurements in two bases using fidelity witnesses. We develop a method to bound the entanglement dimension, using the information contained in the measurement of kinetic operators in double wells, which was recently pioneered with ultracold bosonic atoms in a 2D optical lattice. We also develop a method to estimate reliable error intervals for the fidelity witnesses, which are obtained using semi-definite programming. We demonstrate our scheme by showing that it can be used to detect entanglement between two attractively interacting distinguishable atoms in 1D and 2D lattice geometries.
Keywords: Entanglement Detection; Cold Atoms; Quantum Simulation; Fidelity Bounds; High-Dimensional Entanglement