article published yes Oleksandr Marchukov author Artem Volosniev author 37D278BC-F248-11E8-B48F-1D18A9856A870000-0003-0393-5525 MiLe department ISTplus - Postdoctoral Fellowships project 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. https://research-explorer.ista.ac.at/download/9093/9105/2021_SciPostPhysics_Marchukov.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ SciPost Foundation2021 eng 2542-4653 2004.08075 00064678310002710.21468/scipostphys.10.2.025 102 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>. 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> 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>. 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. Marchukov O, Volosniev A. 2021. Shape of a sound wave in a weakly-perturbed Bose gas. SciPost Physics. 10(2), 025. O. Marchukov, A. Volosniev, SciPost Physics 10 (2021). 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> 90932021-02-04T12:39:24Z2025-04-14T07:43:51Z