Schwarzschild时空中的几何量子失协

Geometric quantum discord in Schwarzschild spacetime

本文研究了在施瓦西黑洞背景下狄拉克粒子的几何量子失协随着霍金效应的变化规律。在霍金温度趋于0时,所获得的几何量子关联与最初态相近。然后随着T的增加,所获得的几何量子关联会单调减小。这是因为霍金效应所产生的场热的作用,而且还发现当r偏大时,因为泡利不相容原理和费米-狄拉克统计规律共同作用使得狄拉克系统不能被完全激发,T即使趋向于无穷大,物理上可获得的几何量子关联无法完全消失,这个现象与在标量场中是完全不同的。此外,我们对所有的两体几何量子关联进行了研究。结果表明,当霍金温度趋向于0时,粒子A的B1几何量子关联最大,粒子BⅠ和BⅡ粒子之间的几何量子关联几乎一样,且都随着霍金温度的增大而单调增大。

In this paper, we mainly studies the effect of the Hawking radiation on the geometric quantum discord（GQD） for Dirac particles in the background of Schwarzschild black hole. It is shown that when the Hawking temperature T→0 the quantum properties of physically accessible state are same for the initial situation. For finite Hawking temperature T, the accessible GQD monotonously decreases along with increasing T owing to the thermal fields generated by the Hawking effect, and the accessible GQD will be disappeared when the Hawking temperature is more than a fixed value which increases with the parameter r of Werner state growing. Then we analyzed where the lost physically accessible GQD go, and found that they are redistributed to all the bipartite states. Moreover, it is found that when the Hawking temperature is infinite, corresponding to the case of the black hole evaporating completely, the GQD of PAB, and PAB, are identical. The inaccessible correlation between modes BⅠ and BⅡ, between modes A and BⅡ monotonously increase with increasing T.