Fermionizing the ideal Bose gas via topological pumping

Maciej Marciniak; Grigori E. Astrakharchik; Krzysztof Pawłowski; Bruno Juliá-Díaz

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arXiv · 2504.19569

Fermionizing the ideal Bose gas via topological pumping

Maciej Marciniak·Grigori E. Astrakharchik·Krzysztof Pawłowski·Bruno Juliá-Díaz

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Abstract

We investigate the coherence and correlations of many-body states appearing in topological pumping in a one-dimensional Bose gas. By analyzing the system at zero and infinite interaction strengths, we reveal a rescaling of momentum distributions accompanied by a self-similar behavior in first- and second-order correlation functions. In excited states of non-interacting bosons, the momentum distribution shows a comb-like structure similar to that of non-interacting fermions but at a higher density. This is mirrored by Friedel oscillations in the one-body density matrix. At the same time, the density-density correlations still exhibit the bosonic enhancement. Our work illustrates how topological pumping induces a nontrivial mapping between bosonic and fermionic correlations.

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Maciej Marciniak, Grigori E. Astrakharchik, Krzysztof Pawłowski, Bruno Juliá-Díaz. 2025-04-28. Fermionizing the ideal Bose gas via topological pumping. https://arxiv.org/abs/2504.19569

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