2017/05/18 by Scott Robertson, Florent Michel, Renaud Parentani
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Observable #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #cond-mat.quant-gas #gr-qc
paper · pdf · doi:10.1103/physrevd.96.045012
published as Phys. Rev. D 96, 045012 (2017) · 18 pages, 6 figures
arxiv created 2017/05/18 · openalex publication_date 2017/08/16 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We show that measuring commuting observables can be sufficient to assess that a bipartite state is entangled according to either nonseparability or the stronger criterion of ``steerability.'' Indeed, the measurement of a single observable might reveal the strength of the interferences between the two subsystems, as if an interferometer were used. For definiteness, we focus on the two-point correlation function of density fluctuations obtained by in situ measurements in homogeneous one-dimensional cold atomic Bose gases. We then compare this situation to that found in transonic stationary flows mimicking a black hole geometry where correlated phonon pairs are emitted on either side of the sonic horizon by the analogue Hawking effect. We briefly apply our considerations to two recent experiments.