Parametric amplification is a process on which we can obtain light with different quantum properties: entanglement and squeezed light. We propose to develop this type of light source using parametric amplifiers in atomic vapors based on four wave mixing. The tuneble gain of this type of system makes it a versatile tool for its implementation in three areas: entangled states networks, magnetometer sensitivity and thermodynamic processes in quantum coolers.For detecting entangled states in networks, we can employ these same amplifiers by combining them with electronic detection to develop new techniques and map the set of multiple entangled states. We will thus generate "cluster" states, with an entangled network of modes for the application in quantum information protocols with continuous variables. On the other hand, the four wave mixing process can also be used to generate squeezed light to improve the sensitivity of optical-based sensors in atoms and also to be applied in the so-called "tricycle" to enhance the efficiency of quantum coolers beyond the classical limit.Part of this proposal emerges as a simple alternative of analysis, in the radiofrequency range, of states generated with frequencies spacing in the optical domain by groups in Univ. of Virgina (O. Pfister) and at the Kastler-Brossel Lab in Paris (C. Fabre and N. Treps), using the parametric amplification developed by A. Marino (now in U. Oklahoma), with which we have a collaboration in progress, and proposed by Avi Pe'er (Univ. Bar Ilan, Israel), with which we will come up with a cooperation. On the other hand, this proposal also intends to take steps towards an ongoing project between USP, U. of Nottingham and U. of Birmingham, which intends to employ squeezed light to test quantum coolers performance beyond the classical limit proposed in that project.
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