Introduction to Quantum Optics

Abstract

The theory of quantum propagator and time--dependent integrals of motion in quantum optics is reviewed as well as the properties of Wigner function, Q--function, and coherent state representation. Propagators and wave functions of a free particle, harmonic oscillator, and the oscillator with varying frequency are studied using time--dependent linear in position and momentum integrals of motion. Such nonclassical states of light (of quantum systems) as squeezed states, correlated states, even and odd coherent states (Schrödinger cat states) are considered. Photon distribution functions of Schrödinger cat male and female states are given, and the photon distribution function of squeezed vacuum is derived using the theory of the oscillator with varying parameters. Properties of multivariable Hermite polynomials used for the description of the multimode squeezed and correlated light and polymode Schrödinger cats are studied.

arXiv commentLatex,35 pages,Lectures in Latin America Scool of Physics 1995

Cited by in corpus (6)

• Long-range interacting quantum systems
• Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field
• Conventional Quantum Mechanics Without Wave Function and Density Matrix
• Superradiance and enhanced luminescence from ensembles of a few self-assembled quantum dots
• The quantum CP-violating kaon system reproduced in the electronic laboratory (Homage to Nolberto Martinez)
• Uniformly accelerated quantum counting detector in Minkowski and Fulling vacuum states