# Beyond Squeezing \`a la Virasoro Algebra

## TL;DR

This paper generalizes quantum squeezing using the Virasoro algebra, showing that higher-order squeezing leads to increased particle generation, with a derived formula quantifying this effect.

## Contribution

It introduces a novel higher-order squeezing framework based on the Virasoro algebra, extending standard squeezing concepts with new theoretical insights.

## Key findings

- Higher-order squeezing results in more particle generation.
- Derived formula quantifies particle number growth with squeezing order.
- Higher-order Virasoro operators enhance squeezing effects.

## 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.