A new quantum mechanical photon counting distribution formula
Hong-yi Fan, Hong-chun Yuan, and Li-yun Hu
TL;DR
This paper introduces a novel quantum photon counting distribution formula derived using the density operator's P-representation, revealing new relationships for squeezed states involving Legendre functions.
Contribution
The paper presents a new photon counting distribution formula based on the P-representation, connecting it to Legendre functions for squeezed states, a novel theoretical result.
Findings
Photon counting distribution for pure squeezed states involves Legendre functions.
New formula derived using density operator's P-representation.
Potential applications in quantum optics measurements.
Abstract
By virtue of density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we find the photon counting distribution for the pure squeezed state relates to the Legendre function, which seems a new result.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Quantum Information and Cryptography