Nonclassical properties of Hermite polynomial's excitation on squeezed vacuum and its decoherence in phase-sensitive reservoirs

TL;DR

This paper introduces Hermite polynomial excitation on squeezed vacuum states, analyzes their enhanced nonclassical properties, and studies their decoherence behavior in phase-sensitive reservoirs, revealing ways to optimize and preserve quantum features.

Contribution

It presents a novel Hermite polynomial excitation scheme on squeezed vacuum states and analyzes how parameters influence nonclassicality and robustness against decoherence.

Findings

Nonclassical properties are enhanced by Hermite polynomial excitation and adjustable parameters.

Optimal negativity of Wigner function is achieved by parameter modulation for n>=2.

Higher photon number n leads to faster decay of nonclassicality under decoherence.

Abstract

We introduce Hermite polynomial excitation squeezed vacuum (SV) H_{n}(O)S(r)|0> with O=u a+v a^{{+}}. We investigate analytically the nonclassical properties according to Mandel's Q parameter, second correlation function, squeezing effect and the negativity of Wigner function (WF). It is found that all these nonclassicalities can be enhanced by H_{n}(O)operation and adjustable parameters u and v. In particular, the optimal negative volume delta_{opt}of WF can be achieved by modulating u and v for n>=2,while delta is kept unchanged for n=1. Furthermore, the decoherence effect of phase-sensitive enviornment on this state is examined. It is shown that delta with bigger ndiminishes more quickly than that with lower n, which indicates that single-photon subtraction SV presents more roboustness. Parameter Mof reservoirs can be effectively used to improve the nonclassicality.