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arXiv · 1603.05466

Pulse propagation in interacting one dimensional Bose liquid

A. D. Sarishvili·I. V. Protopopov·D. B. Gutman
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Abstract

We study wave propagation in interacting Bose liquid, where the short range part of the interaction between atoms is of a hard core type, and its long range part scales with a distance as a power law. The cases of Coulomb, dipole-dipole and Van der Waals interaction are considered. We employ a hydrodynamic approach, based on the exact solution of Lieb-Liniger model, and study the evolution of a density pulse instantly released from a potential trap. We analyze semi-classical Euler and continuity equations and construct the corresponding Riemann invariants. We supplement our analysis with numerical calculations and discuss experimental applications for ultacold atom experiments.

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A. D. Sarishvili, I. V. Protopopov, D. B. Gutman. 2016-03-17. Pulse propagation in interacting one dimensional Bose liquid. https://doi.org/10.1103/physrevb.94.045110

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