Fermionizing the ideal Bose gas via topological pumping
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909595880914944 |
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| author | Marciniak, Maciej Astrakharchik, Grigori E. Pawłowski, Krzysztof Juliá-Díaz, Bruno |
| author_facet | Marciniak, Maciej Astrakharchik, Grigori E. Pawłowski, Krzysztof Juliá-Díaz, Bruno |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fermionizing the ideal Bose gas via topological pumping Marciniak, Maciej Astrakharchik, Grigori E. Pawłowski, Krzysztof Juliá-Díaz, Bruno Quantum Gases Quantum Physics 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. |
| title | Fermionizing the ideal Bose gas via topological pumping |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2504.19569 |