Shape of a sound wave in a weakly-perturbed Bose gas
arXiv:2004.08075 · doi:10.21468/SciPostPhys.10.2.025
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 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.
arXiv comment17 pages, 5 figures; a SciPost submission
References in corpus (32)
- Theory of Bose-Einstein condensation in trapped gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Observation of Superfluidity of Polaritons in Semiconductor Microcavities
- Quantum dynamics of impurities in a 1D Bose gas
- Stochastic properties of systems controlled by autocatalytic reactions II
- Quantum control of molecular rotation
- Motion of a heavy impurity through a Bose-Einstein condensate
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Atomic quantum dots coupled to BEC reservoirs
- Small polarons in dilute gas Bose-Einstein condensates
- Sound propagation in a cylindrical Bose-condensed gas
- Quantifying, characterizing and controlling information flow in ultracold atomic gases
- Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
- Formation of shock waves in a Bose-Einstein condensate
- Self-trapping of impurities in Bose-Einstein condensates: Strong attractive and repulsive coupling
- Self-localized impurities embedded in a one dimensional Bose-Einstein condensate and their quantum fluctuations
- Analytical approach to the Bose polaron problem in one dimension
- Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
- Effective approach to impurity dynamics in one-dimensional trapped Bose gases
- Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
- Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
- Polaronic properties of an impurity in a Bose-Einstein condensate in reduced dimensions
- Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
- Sound Propagation in Elongated Bose-Einstein Condensed Clouds
- Quantum dark soliton (qubits) in Bose Einstein condensates
- Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
- Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas
- Numerical study of localized impurity in a Bose-Einstein condensate
- Internal structure of a quantum soliton and classical excitations due to trap opening
- Formulation for zero mode of Bose-Einstein condensate beyond Bogoliubov approximation
- Gaussian impurity moving through a Bose-Einstein superfluid
- Dynamical Instability Induced by Zero Mode Under Symmetry Breaking External Perturbation