Emission of particles from a parametrically driven condensate in a one-dimensional lattice

TL;DR

This paper investigates particle emission from a Bose-Einstein condensate in a one-dimensional lattice with modulated interactions, revealing both pair and single-particle emissions through analytical and numerical methods.

Contribution

It introduces a comprehensive analysis of single-particle emission in a driven condensate, extending beyond the commonly studied pair emission phenomena.

Findings

Identification of single-particle emission alongside pair emission

Closed-form expressions for emission rates in linear response

Numerical solutions for nonlinear emission dynamics

Abstract

Motivated by recent experiments, we calculate particle emission from a Bose-Einstein condensate trapped in a single deep well of a one-dimensional lattice when the interaction strength is modulated. In addition to pair emission, which has been widely studied, we observe single-particle emission. Within linear response, we are able to write closed-form expressions for the single-particle emission rates and reduce the pair emission rates to one-dimensional integrals. The full nonlinear theory of single-particle emission is reduced to a single variable integrodifferential equation, which we numerically solve.