Noiselessly amplified thermal states and after multi-photon addition or
subtraction
- URL: http://arxiv.org/abs/2312.01298v1
- Date: Sun, 3 Dec 2023 06:18:45 GMT
- Title: Noiselessly amplified thermal states and after multi-photon addition or
subtraction
- Authors: Xue-feng Zhan and Xue-xiang Xu
- Abstract summary: We introduce a noiselessly amplified thermal state (ATS) by operating the noiseless amplification operator ($ghatn$) on the thermal state.
We study photon number distributions (PNDs), purities, and Wigner functions (WFs) for all these states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this paper, we introduce a noiselessly amplified thermal state (ATS), by
operating the noiseless amplification operator ($g^{\hat{n}}$) on the thermal
state (TS) with corresponding mean photon number (MPN) $\bar{n}$. Actually, the
ATS is an new TS with MPN
$\bar{N}=g^{2}\bar{n}/[1-\bar{n}\left(g^{2}-1\right)]$. Furthermore, we
introduce photon-added-ATS (PAATS) and photon-subtracted-ATS (PSATS) by
operating $m$-photon addition ($\hat{a}^{\dag m}$) and $m$-photon subtraction
($\hat{a}^{m}$) on the ATS, respectively. We study photon number distributions
(PNDs), purities, and Wigner functions (WFs) for all these states.
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