Dissipative parametric resonance in a modulated 1D Bose gas

TL;DR

This paper provides a comprehensive analysis of parametric resonance in a modulated one-dimensional Bose gas, incorporating dissipation effects and confirming previous theoretical models with new insights into the dissipation mechanisms.

Contribution

It synthesizes prior research to present a coherent account of dissipative parametric resonance in 1D Bose gases, aligning phenomenological models with dissipation rates from three-wave mixing.

Findings

Resonant behavior matches phenomenological predictions.

Dissipation rate aligns with three-wave mixing theory.

Provides a unified framework for understanding dissipation in 1D Bose gases.

Abstract

We synthesize results of previous works to give a coherent and self-consistent account of parametric resonance in a modulated quasi-1D Bose gas in the presence of a dissipative mechanism. The resonant behaviour is shown to be largely in line with the predictions of a phenomenological model published in 2014, while the associated dissipation rate is consistent with that derived in 2022 from three-wave mixing processes between the produced phonons and thermal fluctuations.