It
has been proposed that entangled two-photon absorption (E2PA)
can be observed with up to 1010 lower photon flux than
its classical counterpart, therefore enabling ultralow-power two-photon
fluorescence microscopy. However, there is a significant controversy
regarding the magnitude of this quantum enhancement in excitation
efficiency. We investigated the fluorescence signals from Rhodamine
6G and LDS798 excited with a CW laser or an entangled photon pair
source at ∼1060 nm. We observed a signal that originates from
hot-band absorption (HBA), which is one-photon absorption from thermally
populated vibrational levels of the ground electronic state. This
mechanism, which has not been previously discussed in the context
of E2PA, produces a signal with a linear power dependence, as would
be expected for E2PA. For the typical conditions under which E2PA
measurements are performed, contributions from the HBA process could
lead to a several orders of magnitude overestimate of the quantum
advantage.