Laguerre polynomial excited coherent states generated by multiphoton catalysis: Nonclassicality and Decoherence

TL;DR

This paper introduces a new class of non-Gaussian quantum states called Laguerre polynomial excited coherent states, analyzes their nonclassical properties, and studies how decoherence affects them, providing insights into their potential for quantum state engineering.

Contribution

The paper presents a theoretical framework for generating Laguerre polynomial excited coherent states via multiphoton catalysis and analyzes their nonclassical properties and decoherence effects.

Findings

Maximum squeezing increases with catalysis number.

Nonclassical features depend on amplitude, catalysis number, and beam splitter imbalance.

Decoherence reduces negativity of Wigner function over time.

Abstract

We theoretically introduce a new kind of non-Gaussian state-----Laguerre polynomial excited coherent states by using the multiphoton catalysis which actually can be considered as a block comprising photon number operator. It is found that the normalized factor is related to the two-variable Hermite polynomials. We then investigate the nonclassical properties in terms of Mandel's Q parameter, quadrature squeezing, second correlation, and the negativity of Wigner function (WF). It is shown that all these properties are related to the amplitude of coherent state, catalysis number and unbalanced beam splitter (BS). In particular, the maximum degree of squeezing can be enhanced as catalysis number and keeps a constant for single-photon catalysis. In addition, we examine the effect of decoherence by Wigner function, which show that the negative region, characteristic time of decoherence and structure of WF are affected by catalysis number and unbalanced BS. Our work provides a general analysis about how to prepare theoretically polynomials quantum states.