Shape of a sound wave in a weakly-perturbed Bose gas

Marchukov, Oleksandr; Volosniev, Artem G.

doi:10.21468/SciPostPhys.10.2.025

SciPost Physics

Shape of a sound wave in a weakly-perturbed Bose gas

Oleksandr V. Marchukov, Artem G. Volosniev

SciPost Phys. 10, 025 (2021) · published 3 February 2021

doi: 10.21468/SciPostPhys.10.2.025
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Abstract

We employ the Gross-Pitaevskii equation to study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths, and argue that it is possible to extract properties of the impurity by observing this shape. We illustrate here this possibility for a Bose gas with a trapped impurity atom -- an example of a relevant experimental setup. Presented results are general for all one-dimensional systems described by the nonlinear Schr\"odinger equation and can also be used in nonatomic systems, e.g., to analyze light propagation in nonlinear optical media. Finally, we calculate the shape of the sound-wave packet for a three-dimensional Bose gas assuming a spherically symmetric perturbation.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.2.025
TI  - Shape of a sound wave in a weakly-perturbed Bose gas
PY  - 2021/02/03
UR  - https://scipost.org/SciPostPhys.10.2.025
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 2
SP  - 025
A1  - Marchukov, Oleksandr
AU  - Volosniev, Artem G.
AB  - We employ the Gross-Pitaevskii equation to study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths, and argue that it is possible to extract properties of the impurity by observing this shape. We illustrate here this possibility for a Bose gas with a trapped impurity atom -- an example of a relevant experimental setup. Presented results are general for all one-dimensional systems described by the nonlinear Schr\"odinger equation and can also be used in nonatomic systems, e.g., to analyze light propagation in nonlinear optical media. Finally, we calculate the shape of the sound-wave packet for a three-dimensional Bose gas assuming a spherically symmetric perturbation.
ER  -

@Article{10.21468/SciPostPhys.10.2.025,
	title={{Shape of a sound wave in a weakly-perturbed Bose gas}},
	author={Oleksandr V. Marchukov and Artem G. Volosniev},
	journal={SciPost Phys.},
	volume={10},
	pages={025},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.2.025},
	url={https://scipost.org/10.21468/SciPostPhys.10.2.025},
}

Cited by 3

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¹ ² Oleksandr Marchukov,
³ Artem G. Volosniev

Funders for the research work leading to this publication

Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
Deutsches Zentrum für Luft- und Raumfahrt / German Aerospace Center [DLR]
Horizon 2020 (through Organization: European Commission [EC])
Israel Science Foundation [ISF]
National Science Foundation [NSF]
United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])