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PreprintCC BY 4.0arXiv

Quasi-solitons of the 1D Bose gas at arbitrary-strength contact repulsion

Abstract

Harnessing integrability at arbitrary interaction strength, we build long-lived and spatially localized soliton-like excitations in the 1D Bose gas with contact repulsion (Lieb-Liniger model). We show how these density profiles, built from selective superpositions of multi-hole eigenstates, display long lifetimes tunable through parameters like dispersion width and number of holes. We further illustrate a scaling protocol that in principle enables unbounded increase in lifetimes in the thermodynamic limit. Our results showcase classical-like excitations originating from unitary quantum dynamics, away from the semi-classical regime, and in regions where interactions cannot be treated perturbatively.

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BibTeX
@misc{sarvi2026quasisolitons,
  title = {{Quasi-solitons of the 1D Bose gas at arbitrary-strength contact repulsion}},
  author = {Anahita Sarvi and Cesare Vianello and Jean-Sébastien Caux},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.04492},
  eprint = {2610.04492},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.04492},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quasi-solitons of the 1D Bose gas at arbitrary-strength contact repulsion
AU  - Anahita Sarvi
AU  - Cesare Vianello
AU  - Jean-Sébastien Caux
PY  - 2026
DA  - 2026/10/03
PB  - arXiv
DO  - 10.48550/arxiv.2610.04492
UR  - https://arxiv.org/abs/2610.04492
AB  - Harnessing integrability at arbitrary interaction strength, we build long-lived and spatially localized soliton-like excitations in the 1D Bose gas with contact repulsion (Lieb-Liniger model). We show how these density profiles, built from selective superpositions of multi-hole eigenstates, display long lifetimes tunable through parameters like dispersion width and number of holes. We further illustrate a scaling protocol that in principle enables unbounded increase in lifetimes in the thermodynamic limit. Our results showcase classical-like excitations originating from unitary quantum dynamics, away from the semi-classical regime, and in regions where interactions cannot be treated perturbatively.
ER  -