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We investigate the transition behavior of the two-level atom as theUnruh-DeWitt detector outside a noncommutative black hole. When the mass of theblack hole is small enough, the difference between the commutative andnoncommutative black hole can be distinguished. In particular, an evidentfluctuation appearing at a far distance from the horizon by calculating thequantum Fisher information of the transition rate with regard to the localHawking temperature provides a novel and interesting result about theinformation extraction of the noncommutativity for a small-mass black hole.

Noncommutative information is revealed from the static detector outside the black hole