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

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We introduce Hermite polynomial excitation squeezed vacuum (SV) Hₙ(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 Hₙ(O)operation and adjustable parameters u and v. In particular, the optimal negative volume deltaoptof 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.