Beyond Squeezing \`a la Virasoro Algebra
High Energy Physics - Theory
2019-12-25 v1 Quantum Physics
Abstract
The generalization of squeezing is realized in terms of the Virasoro algebra. The higher-order squeezing can be introduced through the higher-order time-dependent potential, in which the standard squeezing operator is generalized to higher-order Virasoro operators. We give a formula that describes the number of particles generated by the higher-order squeezing when a parameter specifying the degree of squeezing is small. The formula (18) shows that the higher the order of squeezing becomes the larger the number of generated particles grows.
Keywords
Cite
@article{arxiv.1908.06308,
title = {Beyond Squeezing \`a la Virasoro Algebra},
author = {So Katagiri and Akio Sugamoto and Koichiro Yamaguchi and Tsukasa Yumibayashi},
journal= {arXiv preprint arXiv:1908.06308},
year = {2019}
}
Comments
16 pages, 2 figures