A scheme for amplification and discrimination of photons
A. R. Usha Devi, R. Prabhu, and A. K. Rajagopal

TL;DR
This paper proposes a method for photon amplification and discrimination using a large ensemble of two-level atoms interacting with a single radiation mode, exploiting conserved quantities in the Dicke model.
Contribution
It introduces a novel scheme leveraging atom-photon interactions to enhance photon detection and discrimination capabilities.
Findings
Identifies a threshold time for photon exposure detection.
Determines the time of maximum detection probability.
Enables discrimination of initial photon number states.
Abstract
A scheme for exploring photon number amplification and discrimination is presented based on the interaction of a large number of two-level atoms with a single mode radiation field. The fact that the total number of photons and atoms in the excited states is a constant under time evolution in Dicke model is exploited to rearrange the atom-photon numbers. Three significant predictions emerge from our study: Threshold time for initial exposure to photons, time of perception (time of maximum detection probability), and discrimination of first few photon states.
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