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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09372 |
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| _version_ | 1866909654420815872 |
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| author | Chergui, L. Brauneis, F. Cardinale, T. Arnone Schubert, M. Volosniev, A. G. Reimann, S. M. |
| author_facet | Chergui, L. Brauneis, F. Cardinale, T. Arnone Schubert, M. Volosniev, A. G. Reimann, S. M. |
| contents | The presence of a single attractive impurity in an ultracold repulsive bosonic system can drive a transition from a homogeneous to a localized state, as we here show for a one-dimensional ring system. In the few-body limit the localization of the bosons around the impurity, as seen in the pair correlations, is accompanied by low-lying modes that resemble finite-size precursors of Higgs-Anderson and Nambu-Goldstone-like modes. Tuning the impurity-boson mass ratio allows for the exploration of the transition from a spontaneous to an explicit breaking of the continuous rotational symmetry of the Hamiltonian. We compare the minimum of the Higgs-Anderson-like mode as a marker of the onset of localization in the few-body limit to mean-field predictions of binding. We find improved agreement between the few-body exact diagonalization results and mean-field predictions of binding with increasing boson-boson repulsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09372 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From spontaneous to explicit symmetry breaking in a finite-sized system: Bosonic bound states of an impurity Chergui, L. Brauneis, F. Cardinale, T. Arnone Schubert, M. Volosniev, A. G. Reimann, S. M. Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics The presence of a single attractive impurity in an ultracold repulsive bosonic system can drive a transition from a homogeneous to a localized state, as we here show for a one-dimensional ring system. In the few-body limit the localization of the bosons around the impurity, as seen in the pair correlations, is accompanied by low-lying modes that resemble finite-size precursors of Higgs-Anderson and Nambu-Goldstone-like modes. Tuning the impurity-boson mass ratio allows for the exploration of the transition from a spontaneous to an explicit breaking of the continuous rotational symmetry of the Hamiltonian. We compare the minimum of the Higgs-Anderson-like mode as a marker of the onset of localization in the few-body limit to mean-field predictions of binding. We find improved agreement between the few-body exact diagonalization results and mean-field predictions of binding with increasing boson-boson repulsion. |
| title | From spontaneous to explicit symmetry breaking in a finite-sized system: Bosonic bound states of an impurity |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2412.09372 |