Squeezing with classical Hamiltonians
Abstract
A simple formula is derived for the maximum squeezing rate which occurs at the initial stages of the squeezing process: the rate only depends on the second partial derivatives of a classical Hamiltonian. Rules for optimum rotation of the phase space are found to keep the state optimally located and oriented for fastest squeezing. These operations transform the phase-space point of interest into a saddle point with opposite principal curvatures. Similar results are found for the Bloch-sphere phase space and spin squeezing. Application of the general formulas is illustrated by several model examples including parametric downconversion, Kerr nonlinearity, Jaynes-Cummings interaction, and spin squeezing by one-axis twisting and two-axis countertwisting.
Cite
@article{arxiv.1508.04553,
title = {Squeezing with classical Hamiltonians},
author = {Tomáš Opatrný},
journal= {arXiv preprint arXiv:1508.04553},
year = {2015}
}
Comments
14 pages, 10 figures, PRA