Model for entangled states with spin-spin interaction

Yakir Aharonov, Jeeva Anandan, G. Jordan Maclay, and Jun Suzuki
Phys. Rev. A 70, 052114 – Published 24 November 2004

Abstract

A system consisting of two neutral spin-1/2 particles is analyzed for two magnetic field perturbations: (1) an inhomogeneous magnetic field over all space, and (2) external fields over a half space containing only one of the particles. The field is chosen to point from one particle to the other, which results in essentially a one-dimensional problem. A number of interesting features are revealed for the first case: the singlet, which has zero potential energy in the unperturbed case, remains unstable in the perturbing field. The spin-zero component of the triplet evolves into a bound state with a double well potential, with the possibility of tunneling. Superposition states can be constructed which oscillate between entangled and unentangled states. For the second case, we show that changes in the magnetic field around one particle affect measurements of the spin of the entangled particle not in the magnetic field nonlocally. By using protective measurements, we show it is possible in principle to establish a nonlocal interaction using the two particles, provided the dipole-dipole potential energy does not vanish and is comparable to the potential energy of the particle in the external field.

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  • Received 3 July 2004

DOI:https://doi.org/10.1103/PhysRevA.70.052114

©2004 American Physical Society

Authors & Affiliations

Yakir Aharonov1,2, Jeeva Anandan1,*, G. Jordan Maclay3, and Jun Suzuki1

  • 1Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208, USA
  • 2School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
  • 3Quantum Fields LLC, 20918 Wildflower Lane, Richland Center, Wisconsin 53581, USA

  • *Deceased

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Issue

Vol. 70, Iss. 5 — November 2004

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