Leggett's bound and superfluidity in strongly interacting bosons
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915679098109952 |
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| author | Pizzino, Lorenzo Pan, Haocong Giamarchi, Thierry Yao, Hepeng |
| author_facet | Pizzino, Lorenzo Pan, Haocong Giamarchi, Thierry Yao, Hepeng |
| contents | A density-based superfluid bound called Leggett's bound has been proved to be a good estimator of the superfluid fraction for cold atomic gases in the mean-field regime. Here, we investigate the accuracy of such bound in the strongly interacting regime, where the mean-field approach fails. Combining quantum Monte Carlo, Gross-Pitaevskii equation and field-theory calculations, we demonstrate that the bound serves as a reliable estimator of the superfluid fraction for strongly interacting bosons at 2D-1D dimensional crossover at low temperatures. By further presenting two counterexamples where the bound predicts trivial results, we shed light on the conditions under which the Leggett's bound serves as a good predictor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Leggett's bound and superfluidity in strongly interacting bosons Pizzino, Lorenzo Pan, Haocong Giamarchi, Thierry Yao, Hepeng Quantum Gases A density-based superfluid bound called Leggett's bound has been proved to be a good estimator of the superfluid fraction for cold atomic gases in the mean-field regime. Here, we investigate the accuracy of such bound in the strongly interacting regime, where the mean-field approach fails. Combining quantum Monte Carlo, Gross-Pitaevskii equation and field-theory calculations, we demonstrate that the bound serves as a reliable estimator of the superfluid fraction for strongly interacting bosons at 2D-1D dimensional crossover at low temperatures. By further presenting two counterexamples where the bound predicts trivial results, we shed light on the conditions under which the Leggett's bound serves as a good predictor. |
| title | Leggett's bound and superfluidity in strongly interacting bosons |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2512.14346 |