Generating dark solitons by single photons

TL;DR

This paper demonstrates that dark solitons in one-dimensional Bose systems can be excited by single photons through resonant absorption, revealing quantum effects like power-law dependence and orthogonality catastrophe.

Contribution

It introduces a novel mechanism for exciting dark solitons via single-photon absorption and calculates the associated cross-section showing quantum phenomena.

Findings

Absorption cross-section exhibits power-law dependence on frequency detuning.

Single photons can resonantly excite dark solitons in 1D Bose systems.

Quantum effects like orthogonality catastrophe influence the absorption process.

Abstract

We show that dark solitons in 1D bose systems may be excited by resonant absorption of single quanta of an external ac field. The energy of the quantum $\hbar\omega$ should be slightly blue-detuned from the energy of a soliton with momentum $\hbar q$, where $q$ is the external field wavenumber $q$. We calculate the absorption cross-section and show that it has power-law dependence on the frequency detuning. This reflects the quantum nature of the absorption process and the orthogonality catastrophe phenomenon associated with it.