An Introduction to Squeezed States

L. Mandeļ

Amir Karimi, Mohammad Kazem Tavassoly

P. L. Knight, Vladimír Bužek

M. S. Guimarães, I. Roditi, Silvio Paolo sorella

A pedagogical introduction to Bell’s inequality in Quantum Mechanics is presented. Several examples, ranging from spin 1/2 to coherent and squeezed states are worked out. The generalization to Mermin’s inequalities and to GHZ states is also outlined.

Xin Ma, William Rhodes

Multimode squeeze and rotation operators are defined such that they have extremely similar algebraic properties as those of their single-mode counterparts. It is shown that the introduction of N-mode squeeze operators provides a convenient set of parameters to describe the variances of the quadrature amplitudes in multimode Gaussian squeezed states. Some important properties of these N-mode unitary operators are investigated. It is also shown that the time-evolution operator for a general N-mode quadratic Hamiltonian can be conveniently expressed as an operator product containing an N-mode squeeze operator, an N-mode rotation operator, and an N-mode displacement operator.

I. A. Pedrosa, B. Baseia