Beyond Squeezing à la Virasoro Algebra
arXiv:1908.06308 · doi:10.1093/ptep/ptz127
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.
arXiv comment16 pages, 2 figures