2010/02/01 by Amitabha Chakrabarti, Chakrabarti, Amitabha, Anirban Chakraborti +1
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Coupling (piping) #FOS: Physical sciences #Field (mathematics) #Lorentz transformation #Magnetic field #Mathematics #Physics #Precession #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Spins #quant-ph
paper · pdf · doi:10.48550/arxiv.1002.0268
published in arXiv (Cornell University) (Cornell University) · 10 pages including 2 figures, APS REVTeX4 format.
openalex publication_date 2010/02/01 · arxiv created 2010/04/28 · arxiv updated 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a novel study of the time evolutions of entangled states of three spin-1/2 particles in the presence of a constant external magnetic field, which causes the individual spins to precess and leads to remarkable periodicities in the correlations and density matrices. The emerging patterns of periodicity are studied explicitly for different entangled states and in detail for a particular initial configuration of the velocities. Contributions to precession of anomalous magnetic moments are analysed and general results are also obtained. We then introduce an electric field orthogonal to the magnetic field, linking to the preceding case via a suitable Lorentz transformation, and obtain the corresponding Wigner rotations of the spin states. Finally, we point out for the first time that the entangled states corresponding to well-known ones in the study of 3-particle entanglements, may be classified systematically using a particular coupling of three angular momenta.