Ground-state properties of dilute one-dimensional Bose gas with three-body repulsion
arXiv:1807.07106 · doi:10.1016/j.physleta.2018.12.006
Abstract
We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of three-particle scattering length. An analogue of Tan`s energy theorem for considered system is derived in generic case without assuming weakness of the interparticle interaction. We also obtained an exact identity relating the three-body contact to the energy density.
4+epsilon pages, 2 figures
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- Anomalous frequency shifts in a one-dimensional trapped Bose gas
- Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
- A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
- Mean-field properties of impurity in Bose gas with three-body forces
- Efimov-like physics in fraction-dimensional Bose systems with three-body interaction