Pulse propagation in interacting one dimensional Bose liquid

TL;DR

This paper investigates how density pulses propagate in a one-dimensional Bose liquid with both short-range hard-core and long-range power-law interactions, using hydrodynamics and exact solutions to understand dynamics and experimental implications.

Contribution

It introduces a hydrodynamic framework combined with Lieb-Liniger solutions to analyze pulse evolution in long-range interacting Bose liquids.

Findings

Derived Riemann invariants for the system

Numerical simulations of pulse evolution

Discussion of experimental realizations in ultracold atoms

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.