Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well
We investigate the polaronic properties of a single impurity immersed in a weakly interacting bosonic environment confined within a one-dimensional double-well potential using an exact diagonalization approach. We find that an increase of the impurity–bath coupling results in a vanishing residue, si...
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| Format: | Article |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ac51ed |
| _version_ | 1797748486381240320 |
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| author | Jie Chen Simeon I Mistakidis Peter Schmelcher |
| author_facet | Jie Chen Simeon I Mistakidis Peter Schmelcher |
| author_sort | Jie Chen |
| collection | DOAJ |
| description | We investigate the polaronic properties of a single impurity immersed in a weakly interacting bosonic environment confined within a one-dimensional double-well potential using an exact diagonalization approach. We find that an increase of the impurity–bath coupling results in a vanishing residue, signifying the occurrence of the polaron orthogonality catastrophe. Asymptotic configurations of the systems’ ground state wave function in the strongly interacting regime are obtained by means of a Schmidt decomposition, which in turn accounts for the observed orthogonality catastrophe of the polaron. We exemplify that depending on the repulsion of the Bose gas, three distinct residue behaviors appear with respect to the impurity–bath coupling. These residue regimes are characterized by two critical values of the bosonic repulsion and originate from the interplay between the intra- and the interband excitations of the impurity. Moreover, they can be clearly distinguished in the corresponding species reduced density matrices with the latter revealing a phase separation on either the one- or the two-body level. The impact of the interspecies mass-imbalance on the impurity’s excitation processes is appreciated yielding an interaction shift of the residue regions. Our results explicate the interplay of intra- and interband excitation processes for the polaron generation in multiwell traps and for designing specific polaron entangled states motivating their exposure in current experiments. |
| first_indexed | 2024-03-12T16:06:27Z |
| format | Article |
| id | doaj.art-4f465b67945f4113bd4e0f788911c9cc |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:06:27Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-4f465b67945f4113bd4e0f788911c9cc2023-08-09T14:20:43ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124303300410.1088/1367-2630/ac51edIntra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-wellJie Chen0https://orcid.org/0000-0002-3201-4066Simeon I Mistakidis1https://orcid.org/0000-0002-5118-5792Peter Schmelcher2https://orcid.org/0000-0002-2637-0937Department of Physics, Center for Optical Quantum Technologies, University of Hamburg , Luruper Chaussee 149, 22761 Hamburg, GermanyITAMP , Center for Astrophysics|Harvard & Smithsonian, Cambridge, MA 02138, United States of AmericaDepartment of Physics, Center for Optical Quantum Technologies, University of Hamburg , Luruper Chaussee 149, 22761 Hamburg, Germany; The Hamburg Center for Ultrafast Imaging, University of Hamburg , Luruper Chaussee 149, 22761 Hamburg, GermanyWe investigate the polaronic properties of a single impurity immersed in a weakly interacting bosonic environment confined within a one-dimensional double-well potential using an exact diagonalization approach. We find that an increase of the impurity–bath coupling results in a vanishing residue, signifying the occurrence of the polaron orthogonality catastrophe. Asymptotic configurations of the systems’ ground state wave function in the strongly interacting regime are obtained by means of a Schmidt decomposition, which in turn accounts for the observed orthogonality catastrophe of the polaron. We exemplify that depending on the repulsion of the Bose gas, three distinct residue behaviors appear with respect to the impurity–bath coupling. These residue regimes are characterized by two critical values of the bosonic repulsion and originate from the interplay between the intra- and the interband excitations of the impurity. Moreover, they can be clearly distinguished in the corresponding species reduced density matrices with the latter revealing a phase separation on either the one- or the two-body level. The impact of the interspecies mass-imbalance on the impurity’s excitation processes is appreciated yielding an interaction shift of the residue regions. Our results explicate the interplay of intra- and interband excitation processes for the polaron generation in multiwell traps and for designing specific polaron entangled states motivating their exposure in current experiments.https://doi.org/10.1088/1367-2630/ac51edultracold atomic mixtureBose polaronone-dimensional physics |
| spellingShingle | Jie Chen Simeon I Mistakidis Peter Schmelcher Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well New Journal of Physics ultracold atomic mixture Bose polaron one-dimensional physics |
| title | Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well |
| title_full | Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well |
| title_fullStr | Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well |
| title_full_unstemmed | Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well |
| title_short | Intra- and interband excitations induced residue decay of the Bose polaron in a one-dimensional double-well |
| title_sort | intra and interband excitations induced residue decay of the bose polaron in a one dimensional double well |
| topic | ultracold atomic mixture Bose polaron one-dimensional physics |
| url | https://doi.org/10.1088/1367-2630/ac51ed |
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