Quantum correlation of Hawking radiations for mass-superposed BTZ black holes

Recent studies using the Unruh-DeWitt detector model have revealed the quantum signatures of black hole mass superposition. In this paper, we use the equal-time density-density correlation function to reinvestigate the mass superposition of BTZ black holes. Interestingly, the quantum signatures of BTZ black hole mass superposition can be revealed by the equal-time density-density correlation peaks. Additionally, different mass superpositions for the same mass ratio can be distinguished, a phenomenon not previously documented. Specifically, the correlation function method can pinpoint the location where Hawking radiations are generated, even for mass-superposed BTZ black holes. Our findings indicate that this location is approximately at two and a half times the radius of the horizon, where the correlation function reaches its maximum.This supports the concept of a quantum atmosphere as the origin locus of Hawking radiation,even in quantum-superposed spacetimes.