Quantum Statistical Properties Of Squeezed Light Fields Via Beam Splitter

In this paper, the first chapter mainly introduces the basic knowledge ofquantum optics.Then we will use the logarithmic negative criterion of research afterthe squeezed vacuum state through the beam splitter entanglement properties ofoutput light field, and the research of single port quantum statistical properties ofoutput light field, including the Wigner function, the average photon number, as wellas the poisson distribution and so on.Then we use the method of quantum catalytic in squeezed vacuum state and mparticle number state as the input source in the output end of the beam splitter bymeasuring light quantum number m at a port a catalytic squeezed vacuum state isobtained, and the state is a classical state and may be changed by changing theparameters of the quantum state, so we found a new method for preparation of theclassical state to quantum engineering.Also studies the method of using logarithmic negative dual-mode hotcompression (a typical dual mode gaussian quantum state) through a beam splitter ofthe entanglement of before and after changes. Given the quantum light field through abeam splitter is essentially a process of input and output, we will use the method ofphase space, the first input field of the Wigner function is deduced, then throughclassic transformation relation between input and output, the output light field of theWigner function is derived. Due to the output light field of the Wigner function toload the input optical field and system device (here refers to the beam splitter)information about the internal parameters, according to the output of the Wignerfunction, can study the output light field of entanglement properties affected by inputand system parameters.