Violation of Bell inequalities in an analogue black hole

2024/04/25 by Giorgio Ciliberto, Stephanie Emig, Ciliberto, Giorgio +5 · 3 citations
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2404.16497

openalex publication_date 2024/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Signals of entanglement and nonlocality are quantitatively evaluated at zero and finite temperature in an analogue black hole realized in the flow of a quasi one-dimensional Bose-Einstein condensate. The violation of Lorentz invariance inherent to this analog system opens the prospect to observe 3-mode quantum correlations and we study the corresponding violation of bipartite and tripartite Bell inequalities. It is shown that the long wavelength modes of the system are maximally entangled, in the sense that they realize a superposition of continuous variable versions of Greenberger-Horne-Zeilinger states whose entanglement resists partial tracing.

Cited by

• Topology-dependent relativistic degradation of multipartite entanglement
• Advantages and disadvantages of maximally entangled states in dilaton black hole background
• Stimulated Hawking effect and quasinormal mode resonance in a polariton simulator of field theory on curved spacetime

Related

• Numerical simulation of Bell inequality's violation using optical transverse modes in multimode waveguides
• Relativistic entanglement of quantum states and nonlocality of Einstein-Podolsky-Rosen(EPR) paradox
• Test of local realism via entangled ΛΛ system
• On how to Produce Entangled States Violating Bell's Inequalities in Quantum Theory
• Three-outcome multipartite Bell inequalities: applications to dimension witnessing and spin-nematic squeezing in many-body systems