Multi-photon-addition amplified coherent state

TL;DR

This paper introduces multi-photon-addition amplified coherent states (MPAACS), analyzing their properties and demonstrating their enhanced nonclassical features as amplified versions of photon-added coherent states, with implications for light field amplification.

Contribution

The work defines MPAACS, explores their mathematical and physical properties, and shows they are amplified, more nonclassical versions of photon-added coherent states, expanding theoretical understanding.

Findings

MPAACS are normalized and characterized mathematically.

They exhibit increased nonclassicality and effective gain.

Analysis includes Wigner function, quadrature squeezing, and noise properties.

Abstract

State $g^{\hat{n}}\hat{a}^{\dag m}\left\vert \alpha \right\rangle $ and state $\hat{a}^{\dag m}g^{\hat{n}}\left\vert \alpha \right\rangle $ are same to state $\hat{a}^{\dag m}\left\vert g\alpha \right\rangle $, which is called as multi-photon-addition amplified coherent state (MPAACS) by us. Here, $\hat{n}$, $\hat{a}^{\dag }$, $\left\vert \alpha \right\rangle $, $g$ ( $\geq 1$), and $m$ are photon number operator, creation operator, coherent state, gain facor, and an interger, respectively. We study mathematical and physical properties for these MPAACSs, including normalization, photon component analysis, Wigner function, effective gain, quadrature squeezing, and equivalent input noise. Actually, the MPAACS, which contains more nonclassicality, is an amplified version of photon-added coherent state (PACS) introduced by Agrwal and Tara [Phys. Rev. A 43, 492 (1991)]. Our work provides theoretical references for implementing amplifiers for light fields.