A number-state filter for pulses of light
Nikolai Lauk, Michael Fleischhauer
TL;DR
This paper provides a theoretical analysis of a Fock-state filter utilizing photon-number dependent group delay in cavity induced transparency, with derivations, simulations, and experimental estimations.
Contribution
It introduces a detailed theoretical framework for a number-state filter based on cavity induced transparency, including analytical expressions and numerical validation.
Findings
Derived a general expression for photon-number dependent group velocity.
Validated predictions with numerical simulations of few-photon wave packets.
Provided estimates for experimental implementation.
Abstract
We present a detailed theoretical analysis of a Fock-state filter based on the photon-number dependent group delay in cavity induced transparency proposed in Phys. Rev. Lett. 105, 013601 (2010). We derive a general expression for the propagation velocity of different photon-number components of a light pulse interacting with an optically dense ensemble of three-level atoms coupled to a resonator mode under conditions of cavity induced transparency. These predictions are compared to numerical simulations of the propagation of few photon wave packets, and an estimation for experimental realization is made.
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