Work

Bounds on the detection of Bell correlations with entangled ultracold atoms in optical lattices under occupation defects

Year: 2025

Type: article

Abstract: Bell nonlocality stems from quantum correlations effectively identified using inequalities. Spin chains, simulated with ultracold atoms in optical lattices, Rydberg atoms in tweezer arrays, trapped ions, or molecules allow single-spin control and measurement. Therefore, they are suitable for studying fundamental aspects of these correlations and nonlocality. Occupation defects, such as vacancies or multiple atoms occupying a single site due to imperfect system preparation, limit the detection of Bell correlations. We study their effects with the help of a simplified toy model parametrized by the probability p of having a single occupation for a given site. Within this model, and for entangled systems obtained by one-axis twisting evolution from an initial factorized state, we derive two Bell inequalities, one based on many-site correlations and the other on two-site correlations, and identify the smallest probability p that allows the Bell inequalities violation to be detected. We then consider two physical realizations using entangled ultracold atoms in optical lattices where the parameter p is related to a nonunitary filling factor and nonzero temperature. We test the predictions of the toy model against exact numerical results.

Source: Physical Review A

DOI: 10.1103/physreva.111.023312

Authors: T. Hernández Yanes, Y. Bamaara, A. Sinatra, E. Witkowska

Institutions: Universität Innsbruck, Laboratoire Kastler Brossel

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,675

Funders: Narodowe Centrum Nauki, Narodowa Agencja Wymiany Akademickiej