Few particles with an impurity in a one-dimensional harmonic trap
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911822091649024 |
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| author | Rojo-Francàs, Abel Isaule, Felipe Juliá-Díaz, Bruno |
| author_facet | Rojo-Francàs, Abel Isaule, Felipe Juliá-Díaz, Bruno |
| contents | We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable particles and we focus on the limiting case where the bath is non-interacting. We provide numerical results for the energy spectra and density profiles by means of the exact diagonalization of the Hamiltonian, and find that these systems show non-trivial solutions, even in the limit of infinite repulsion. A detailed physical interpretation is provided for the lowest energy states. In particular, we find a seemingly universal transition from the impurity being localized in the center of the trap to being expelled outside the majority cloud. We also develop an analytical ansatz and a mean-field solution to compare them with our numerical results in limiting configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17943 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Few particles with an impurity in a one-dimensional harmonic trap Rojo-Francàs, Abel Isaule, Felipe Juliá-Díaz, Bruno Quantum Gases We present a comprehensive study of the static properties of a mobile impurity interacting with a bath with a few particles trapped in a one-dimensional harmonic trap. We consider baths with either identical bosons or distinguishable particles and we focus on the limiting case where the bath is non-interacting. We provide numerical results for the energy spectra and density profiles by means of the exact diagonalization of the Hamiltonian, and find that these systems show non-trivial solutions, even in the limit of infinite repulsion. A detailed physical interpretation is provided for the lowest energy states. In particular, we find a seemingly universal transition from the impurity being localized in the center of the trap to being expelled outside the majority cloud. We also develop an analytical ansatz and a mean-field solution to compare them with our numerical results in limiting configurations. |
| title | Few particles with an impurity in a one-dimensional harmonic trap |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2303.17943 |