Maximal entanglement of two spinor Bose-Einstein condensates

2005/01/19 by Michael W. Jack, Makoto Yamashita
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ferromagnetism #Generalization #Mathematics #Physics #Quantum #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum, superfluid, helium dynamics #Sign (mathematics) #Spin (aerodynamics) #Spinor #State (computer science) #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.71.033619

5 pages, 3 figures, accepted for publication in PRA

arxiv created 2005/01/19 · openalex publication_date 2005/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Starting with two weakly coupled antiferromagnetic spinor condensates, we show that by changing the sign of the coefficient of the spin interaction, U₂, via an optically induced Feshbach resonance, one can create an entangled state consisting of two anticorrelated ferromagnetic condensates. This state is maximally entangled and a generalization of the Bell state from two anticorrelated spin-1∕2 particles to two anticorrelated spin-N∕2 atomic samples, where N is the total number of atoms.

Citations

• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Bose-Einstein Condensates
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Optical Confinement of a Bose-Einstein Condensate
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atom Interferometry with Bose-Einstein Condensates in a Double-Well Potential
• Squeezed spin states
• Tuning the Scattering Length with an Optically Induced Feshbach Resonance
• Ferromagnetism in a Lattice of Bose-Einstein Condensates