Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929230811496448 |
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| author | Chakrabarti, Barnali Gammal, Arnaldo Chavda, N D Lekala, Mantile Leslie |
| author_facet | Chakrabarti, Barnali Gammal, Arnaldo Chavda, N D Lekala, Mantile Leslie |
| contents | We study the dynamical fermionization of strongly interacting one-dimensional bosons in Tonks-Girardeau limit by solving the time dependent many-boson Schrödinger equation numerically exactly. We establish that the one-body momentum distribution approaches the ideal Fermi gas distribution at the time of dynamical fermionization. The analysis is further complemented by the measures on two-body level. Investigation on two-body momentum distribution, two-body local and non-local correlation clearly distinguish the fermionized bosons from non-interacting fermions. The magnitude of distinguishablity between the two systems is further discussed employing suitable measures of information theory, i.e., the well known Kullback-Leibler relative entropy and the Jensen-Shannon divergence entropy. We also observe very rich structure in the higher-body density for strongly correlated bosons whereas non-interacting fermions do not possess any higher order correlation beyond two-body. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions Chakrabarti, Barnali Gammal, Arnaldo Chavda, N D Lekala, Mantile Leslie Quantum Gases We study the dynamical fermionization of strongly interacting one-dimensional bosons in Tonks-Girardeau limit by solving the time dependent many-boson Schrödinger equation numerically exactly. We establish that the one-body momentum distribution approaches the ideal Fermi gas distribution at the time of dynamical fermionization. The analysis is further complemented by the measures on two-body level. Investigation on two-body momentum distribution, two-body local and non-local correlation clearly distinguish the fermionized bosons from non-interacting fermions. The magnitude of distinguishablity between the two systems is further discussed employing suitable measures of information theory, i.e., the well known Kullback-Leibler relative entropy and the Jensen-Shannon divergence entropy. We also observe very rich structure in the higher-body density for strongly correlated bosons whereas non-interacting fermions do not possess any higher order correlation beyond two-body. |
| title | Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2402.00372 |