Anomalous frequency shifts in a one-dimensional trapped Bose gas
arXiv:1902.07025 · doi:10.1103/PhysRevA.99.053607
Abstract
We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a two-dimensional Bose gas with two-body interactions, and exhibits an identical scale anomaly. We consider the experimentally relevant scenario of a harmonically trapped system. We solve the three-body problem exactly and evaluate the shifts in the frequency of the lowest compressional mode with respect to the dipole mode, and find that the effect of the anomaly is to increase the mode's frequency. We also consider the weak-coupling regime of the trapped many-boson problem and find, within the local density approximation, that the frequency of the lowest compressional mode is also shifted upwards in this limit. Moreover, the anomalous frequency shifts are enhanced by the higher particle number to values that should be observable experimentally.
8 pages, 2 figures
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Cited by in corpus (6)
- Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
- Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
- Three-body repulsive forces among identical bosons in one dimension
- Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
- Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
- Efimov-like physics in fraction-dimensional Bose systems with three-body interaction