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arXiv · 2110.15140

Many-body dark solitons in one-dimensional hard-core Bose gases

Manuele Tettamanti·Alberto Parola
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Abstract

The existence and stability of solitonic states in one-dimensional repulsive Bose-Einstein condensates is investigated within a fully many-body framework by considering the limit of infinite repulsion (Tonks-Girardeau gas). A class of stationary, shape-invariant states propagating at constant velocity are explicitly found and compared to the known solution of the Gross-Pitaevskii equation. The typical features attributed to nonlinearity are thus recovered in a purely linear theory, provided the full many-particle physics is correctly accounted for. However, the formation dynamics predicted by the Gross-Pitaevskii approximation considerably differs from the exact many-body evolution.

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Manuele Tettamanti, Alberto Parola. 2021-10-28. Many-body dark solitons in one-dimensional hard-core Bose gases. https://doi.org/10.1103/physreva.104.043325

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