Higher-order nonclassical properties of nonlinear charge pair cat states

Truong Minh Duc, Dang Huu Dinh, Tran Quang Dat · Journal of Physics B Atomic Molecular and Optical Physics · 2019

Abstract The concept of nonlinear charge pair cat states is introduced and their higher-order nonclassical properties are studied. By comparing the nonlinear cases of photon-added states f 2 ( n ) and a laser-driven trapped ion f 3 ( n ) with the linear case f 1 ( n ), it is shown that these states exhibit two-mode higher-order antibunching to all orders and the degree of antibunching depends on the suitable variables, especially on the nonlinear functions. We also show that in such states, the higher-order squeezing appears only in the even orders and the squeezing behaviours for the nonlinear cases f 2 ( n ) and f 3 ( n ) are quite opposite. These states are two-mode genuinely entangled regardless of the nonlinear functions and their entanglement properties are more obvious in the photon-added states f 2 ( n ) case.

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