Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908471653302272 |
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| author | Ślusarczyk, Mateusz Pawłowski, Krzysztof |
| author_facet | Ślusarczyk, Mateusz Pawłowski, Krzysztof |
| contents | Quantum vortices play an important role in the physics of two-dimensional quantum many-body systems, though they usually are understood in the single-particle framework like the mean-field approach. Inspired by the study on the relations between solitons and yrast states, we investigate here the emergence of vortices from the eigenstates of a N -body Hamiltonian of interacting particles trapped in a disk. We analyse states that appear by consecutively measuring the positions of particles. These states have densities, phases, and energies closely resembling mean-field vortices. We discuss similarities, but also point out purely many-body features, such as vortex smearing due to the quantum fluctuation of their center. The ab initio analysis of the many-body system, and mean-field approaches are supported by the analysis within the Bogoliubov approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension Ślusarczyk, Mateusz Pawłowski, Krzysztof Quantum Gases Quantum vortices play an important role in the physics of two-dimensional quantum many-body systems, though they usually are understood in the single-particle framework like the mean-field approach. Inspired by the study on the relations between solitons and yrast states, we investigate here the emergence of vortices from the eigenstates of a N -body Hamiltonian of interacting particles trapped in a disk. We analyse states that appear by consecutively measuring the positions of particles. These states have densities, phases, and energies closely resembling mean-field vortices. We discuss similarities, but also point out purely many-body features, such as vortex smearing due to the quantum fluctuation of their center. The ab initio analysis of the many-body system, and mean-field approaches are supported by the analysis within the Bogoliubov approach. |
| title | Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2408.07570 |