Shape of a sound wave in a weakly-perturbed Bose gas
- URL: http://arxiv.org/abs/2004.08075v4
- Date: Thu, 11 Feb 2021 16:06:34 GMT
- Title: Shape of a sound wave in a weakly-perturbed Bose gas
- Authors: Oleksandr V. Marchukov and Artem G. Volosniev
- Abstract summary: We 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.
- Score: 23.87373187143897
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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