---
_id: '9093'
abstract:
- lang: eng
  text: 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 Schrödinger 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.
acknowledgement: "We acknowledge fruitful discussions with Dr. Simos Mistakidis regarding
  beyond mean-field\r\neffects in our system. We also thank Prof. Maxim Olshanii for
  valuable suggestions to improve\r\nthe manuscript.O.V.M acknowledges the support
  from the National Science Foundation\r\nthrough grants No. PHY-1402249, No. PHY-1607221,
  and No. PHY-1912542 and the\r\nBinational (US-Israel) Science Foundation through
  grant No. 2015616, as well as by the Israel\r\nScience Foundation (grant No. 1287/17)
  and from the German Aeronautics and Space Administration\r\n(DLR) through Grant
  No. 50WM1957. This work has also received funding from\r\nthe DFG Project No.413495248
  [VO 2437/1-1] and European Union’s Horizon 2020 research\r\nand innovation programme
  under the Marie Skłodowska-Curie Grant Agreement No. 754411\r\n(A. G. V.)"
article_number: '025'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Oleksandr
  full_name: Marchukov, Oleksandr
  last_name: Marchukov
- first_name: Artem
  full_name: Volosniev, Artem
  id: 37D278BC-F248-11E8-B48F-1D18A9856A87
  last_name: Volosniev
  orcid: 0000-0003-0393-5525
citation:
  ama: Marchukov O, Volosniev A. Shape of a sound wave in a weakly-perturbed Bose
    gas. <i>SciPost Physics</i>. 2021;10(2). doi:<a href="https://doi.org/10.21468/scipostphys.10.2.025">10.21468/scipostphys.10.2.025</a>
  apa: Marchukov, O., &#38; Volosniev, A. (2021). Shape of a sound wave in a weakly-perturbed
    Bose gas. <i>SciPost Physics</i>. SciPost Foundation. <a href="https://doi.org/10.21468/scipostphys.10.2.025">https://doi.org/10.21468/scipostphys.10.2.025</a>
  chicago: Marchukov, Oleksandr, and Artem Volosniev. “Shape of a Sound Wave in a
    Weakly-Perturbed Bose Gas.” <i>SciPost Physics</i>. SciPost Foundation, 2021.
    <a href="https://doi.org/10.21468/scipostphys.10.2.025">https://doi.org/10.21468/scipostphys.10.2.025</a>.
  ieee: O. Marchukov and A. Volosniev, “Shape of a sound wave in a weakly-perturbed
    Bose gas,” <i>SciPost Physics</i>, vol. 10, no. 2. SciPost Foundation, 2021.
  ista: Marchukov O, Volosniev A. 2021. Shape of a sound wave in a weakly-perturbed
    Bose gas. SciPost Physics. 10(2), 025.
  mla: Marchukov, Oleksandr, and Artem Volosniev. “Shape of a Sound Wave in a Weakly-Perturbed
    Bose Gas.” <i>SciPost Physics</i>, vol. 10, no. 2, 025, SciPost Foundation, 2021,
    doi:<a href="https://doi.org/10.21468/scipostphys.10.2.025">10.21468/scipostphys.10.2.025</a>.
  short: O. Marchukov, A. Volosniev, SciPost Physics 10 (2021).
date_created: 2021-02-04T12:39:24Z
date_published: 2021-02-03T00:00:00Z
date_updated: 2025-04-14T07:43:51Z
day: '03'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.21468/scipostphys.10.2.025
ec_funded: 1
external_id:
  arxiv:
  - '2004.08075'
  isi:
  - '000646783100027'
file:
- access_level: open_access
  checksum: 9fd614b7ab49999e7267874df2582f7e
  content_type: application/pdf
  creator: dernst
  date_created: 2021-02-09T07:06:22Z
  date_updated: 2021-02-09T07:06:22Z
  file_id: '9105'
  file_name: 2021_SciPostPhysics_Marchukov.pdf
  file_size: 666512
  relation: main_file
  success: 1
file_date_updated: 2021-02-09T07:06:22Z
has_accepted_license: '1'
intvolume: '        10'
isi: 1
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics
publication_identifier:
  issn:
  - 2542-4653
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
scopus_import: '1'
status: public
title: Shape of a sound wave in a weakly-perturbed Bose gas
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2021'
...