TY - JOUR
T1 - Quantum entanglement in Plebański-Demiański spacetimes
AU - García-Compeán, Hugo
AU - Robledo-Padilla, Felipe
PY - 2013/12/7
Y1 - 2013/12/7
N2 - For an Einstein–Podolsky–Rosen pair of spin-1/2 particles in circular orbits in a general axially symmetric spacetime, the spin precession angle is obtained. Hovering observers are introduced for ensuring fixed reference frames to perform suitable reliable measurements. Frame-dragging of spinning holes is explicitly incorporated relative to hovering observers. The spin-singlet state is found to be mixed with the spin-triplet by acceleration and gravity effects, which deteriorate the perfect anti-correlation of an entangled pair of spins measured by hovering observers. Finally, an algorithm to calculate spin precession for a general axially symmetric spacetime is proposed. This algorithm is applied to study the complete list of expanding and twisting Type-D Plebaski–Demiaski black holes and their descendent limiting solutions with lower parameters. PACS numbers: 03.65.Ud, 03.67.−a, 04.20.−q, 02.40.−k (Some figures may appear in colour only in the online journal)
AB - For an Einstein–Podolsky–Rosen pair of spin-1/2 particles in circular orbits in a general axially symmetric spacetime, the spin precession angle is obtained. Hovering observers are introduced for ensuring fixed reference frames to perform suitable reliable measurements. Frame-dragging of spinning holes is explicitly incorporated relative to hovering observers. The spin-singlet state is found to be mixed with the spin-triplet by acceleration and gravity effects, which deteriorate the perfect anti-correlation of an entangled pair of spins measured by hovering observers. Finally, an algorithm to calculate spin precession for a general axially symmetric spacetime is proposed. This algorithm is applied to study the complete list of expanding and twisting Type-D Plebaski–Demiaski black holes and their descendent limiting solutions with lower parameters. PACS numbers: 03.65.Ud, 03.67.−a, 04.20.−q, 02.40.−k (Some figures may appear in colour only in the online journal)
UR - http://www.mendeley.com/research/quantum-entanglement-pleba%C5%84skidemia%C5%84ski-spacetimes
U2 - 10.1088/0264-9381/30/23/235012
DO - 10.1088/0264-9381/30/23/235012
M3 - Article
VL - 30
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 23
ER -