A test for high order squeezing of a quantum electromagnetic field

Xi-Zeng Li, Shan Ying, L. Mandeļ

Xi-Zeng Li, Bao-Xia Su

It is found that two-mode output quantum electromagnetic field in two-mode squeezed states exhibits higher-order squeezing to all even orders. And the generalized uncertainty relations are also presented for the first time. The concept of higher-order squeezing of the single-mode quantum electromagnetic field was first introduced and applied to several processes by Hong and Mandel in 1985. Lately Li Xizeng and Shan Ying have calculated the higher-order squeezing in the process of degenerate four-wave mixing and presented the higher-order uncertainty relations of the fields in single-mode squeezed states. In this paper we generalize the above work to the higher-order squeezing in two-mode squeezed states. The generalized uncertainty relations are also presented for the first time.

Daniel F. Walls

Fritz Haake, Narducci,Lorenzo M., Daniel F. Walls

Partial Contents: STATISTICAL PHYSICS; Fractal singularities in a measure and how to measure singularities on a fractal; Quantum kinetic Heisenberg models: a unique dynamics; The kinetic boundary layer: a small scale system far from equilibrium; NUCLEAR AND HIGH ENERGY PHYSICS; The K+ meson as a probe of neutron densities in deformed nuclei; Properties of the S matrix for absorbing potentials; Glauber theory of electron nucleus scattering; QUANTUM OPTICS; The group velocity of short optical pulses; Order and chaos in quantum optics; Beyond the coherent states: Gaussons of the electromagnetic field; Influence of phase diffusion on spontaneous oscillations in the laser with injected signal; Quantum chaos on a sphere; Quantum theory of balanced homodyne detection; A test for high order squeezing of a quantum electromagnetic field; Quantum coherence effects in a Compton regime free electron laser; Superfluorescence from randomly distributed atoms; and Quantum coherence, dissipation and measurement theory.

Rui‐Hua Xie, Qin Rao

O. B. Prepelitsa

Quantum-electrodynamic processes that take place in the presence of a squeezed electromagnetic field are discussed. Integral formulas are derived that make it possible to express the probability of any process in a squeezed electromagnetic field in terms of the probability of the same process in a classical electromagnetic field. The main laws that govern processes of first order in the fine-structure constant as functions of the number of photons involved and the quantum fluctuations are examined. Tunneling formulas for the probability of a photon producing an electron-positron pair in a strong squeezed field are derived. Also, resonant electron-electron scattering is examined and the scattering cross section as a function of the statistical properties of the field (the way the field has been squeezed) is investigated. It is found that the quantum fluctuations of the squeezed electromagnetic field give rise to an increase in the scattering cross section, with the probability of the process in a phase-squeezed electromagnetic field always being higher than the probability of the process in an amplitude-squeezed electromagnetic field.