The cosmological constant effect on the quantum entanglement

Spin Quantum Entanglement in a General Curved Static Space-Time

“…This is due to the fact that the gravitational potential g 00 decreases as J (or ρ) increases and thus information (or concurrence) increases until a saturated bound of the maximal entanglement ( C( f ) ∼ 1). Figure 2 shows the concurrence variation as a function of q for fixed values of α = 2, z and Σ, at smaller value of q (q → 0), the entangled is max and if q the center of the wave packet travels more on the circular trajectory and therefore one has more decoherence (less entanglement ) and consequently the concurrence decreases for example if q = 1 ,C( f ) = 0.7 and if q = 1.6 C( f ) = 0.4, the oscillator periodic behavior can be explained (as it was pointed out in ref [2].) by the fact that when q increases, the exponential in the integral that present in the expression of the concurrence approaches unity, so the cosine and sine terms behavior dominates.…”

“…1) If Q 2 1 (in arbitrary unit) the term DQ 4 dominates, since D 0, then if η 2 increases the GF decreases leading to an increases in E( ) (as it is the case of Figure 8) 2) If Q 2 1, then the term F dominates and its sign will determine the behavior of E( ) as a function of η 2 , if F 0, then GF increases and E( ) decreases, we return to case in the Figure 7. Figure 9 represents the variation of E( ) as function of z for fixed Q = 0, η = 0, α = 1, q = 0.01, (case of Schwarzschild space-time in commutative space-time).…”

“…Recently, the effect of the relativistic motion on the quantum spin states entanglement correlation has been the focus of many people [10] [14] [5]. More, interesting was the study of the quantum entanglement of a spin system in a non inretial frames and a curved space-time [15] [11][1] [2] .…”

Spin quantum entanglement in non-commutative curved space–time

“…The motion has a radius with constant speed . After obtaining a central force motion, the components of the centroid 4-momentum in the local inertial frame are given by [ 12 ] Where is the Lorentz factor.…”