Effective approaches to the dynamical properties of two distinguishable Bose polarons
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| author | Theel, F. Mistakidis, S. I. Schmelcher, P. |
| author_facet | Theel, F. Mistakidis, S. I. Schmelcher, P. |
| contents | We explore effective approaches for describing the dynamics of induced interactions amongst two non-interacting distinguishable impurities - Bose polarons - when their couplings to the host species are switched on. First, we evaluate the time-dependent characteristics of each polaron through reduced single-particle models. Their validity is ultimately judged by comparing to observables obtained within a many-body variational approach. We argue that utilizing a time-dependent optimization process with the effective mass and frequency being fitting parameters leads to an accurate matching on the level of one-body observables with the prediction of the many-body method. Next, we construct two-body effective models, which besides the effective parameters of the single polaron, include a contact interaction potential modelling the induced interactions. It is shown that the instantaneous coupling strength obtained with a time-dependent optimization process allows for an accurate description of the impurities two-body correlation dynamics when compared to the many-body calculations. In this sense, it is possible to describe the dynamical crossover from correlated to anti-correlated impurity patterns related to the transition from attractive to repulsive induced interactions. Our results should facilitate the description of strongly particle-imbalanced mixtures via reduced models and hence their experimental understanding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective approaches to the dynamical properties of two distinguishable Bose polarons Theel, F. Mistakidis, S. I. Schmelcher, P. Quantum Gases We explore effective approaches for describing the dynamics of induced interactions amongst two non-interacting distinguishable impurities - Bose polarons - when their couplings to the host species are switched on. First, we evaluate the time-dependent characteristics of each polaron through reduced single-particle models. Their validity is ultimately judged by comparing to observables obtained within a many-body variational approach. We argue that utilizing a time-dependent optimization process with the effective mass and frequency being fitting parameters leads to an accurate matching on the level of one-body observables with the prediction of the many-body method. Next, we construct two-body effective models, which besides the effective parameters of the single polaron, include a contact interaction potential modelling the induced interactions. It is shown that the instantaneous coupling strength obtained with a time-dependent optimization process allows for an accurate description of the impurities two-body correlation dynamics when compared to the many-body calculations. In this sense, it is possible to describe the dynamical crossover from correlated to anti-correlated impurity patterns related to the transition from attractive to repulsive induced interactions. Our results should facilitate the description of strongly particle-imbalanced mixtures via reduced models and hence their experimental understanding. |
| title | Effective approaches to the dynamical properties of two distinguishable Bose polarons |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2409.15093 |