Abstract

We investigate the influence of a cosmic string on the resonance interaction between two identical two-level entangled atoms mediated by a fluctuating electromagnetic field in the vacuum state. We separately consider two representative configurations of the system and give the corresponding analytical expressions of interatomic interaction energy for the special case of a ‘quantized string’ with integer ν. The results indicate that the resonance interatomic interaction energy depends crucially upon the relative position between the two atoms, their respective locations and polarizabilities relative to the string. As these parameters change, we show that the presence of the cosmic string can enhance or weaken and even produce or prohibit the interatomic resonance interaction. Our work suggests that the nontrivial spacetime topology due to the cosmic string can influence the field-mediated interatomic interaction significantly.

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