Wigner rotation via Fermi-Walker transport and relativistic EPR correlations in the Schwarzschild spacetime
arXiv:1504.07432 · doi:10.1142/S0219749915500203
Abstract
The Wigner rotation angle for a particle in a circular motion in the Schwarzschild spacetime is obtained via the Fermi-Walker transport of spinors. Then, by applying the WKB approximation, a possible application of the Fermi-Walker transport of spinors in relativistic EPR correlations is discussed, where it is shown that the spins of the correlated particle undergo a precession in an analogous way to that obtained by Terashima and Ueda [H. Terashima and M. Ueda, Phys. Rev. A {\bf69}, 032113 (2004)] via the application of successive infinitesimal Lorentz transformations. Moreover, from the WKB approach, it is also shown that the degree of violation of the Bell inequality depends on the Wigner rotation angle obtained via the Fermi-Walker transport. Finally, the relativistic effects from the geometry of the spacetime and the accelerated motion of the correlated particles is discussed in the nonrelativistic limit.
arXiv commentto appear in International Journal of Quantum Information
References in corpus (12)
- Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
- Observer dependent entanglement
- Relativistic entanglement and Bell's inequality
- Relativistic Einstein-Podolsky-Rosen correlation and Bell's inequality
- Einstein-Podolsky-Rosen correlation in gravitational field
- Projective measurements and generation of entangled Dirac particles in Schwarzschild Spacetime
- Quantum Entanglement under Lorentz Boost
- Induced quantum numbers in the (2+1)-dimensional electron gas
- Spin decoherence by spacetime curvature
- Thomas Precession, Berry potential and the Meron
- EPR effect in gravitational field: nature of non-locality
- Spin entanglement of two spin-1/2 particles in a classical gravitational field
Cited by in corpus (4)
- Gyroscope precession along bound equatorial plane orbits around a Kerr black hole
- Lorentz symmetry breaking effects on relativistic EPR correlations
- Gyroscope precession along unbound equatorial plane orbits around a Kerr black hole
- Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects