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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2506.02440 |
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| _version_ | 1866918251348361216 |
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| author | Taylor, Jamie Čufar, Matija Mitrouskas, David Seiringer, Robert Pahl, Elke Brand, Joachim |
| author_facet | Taylor, Jamie Čufar, Matija Mitrouskas, David Seiringer, Robert Pahl, Elke Brand, Joachim |
| contents | The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of $α\approx 1.73$ for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We find a significant spectral weight and increased phonon number of the bound excited state at threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02440 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bound excited states of Fröhlich polarons in one dimension Taylor, Jamie Čufar, Matija Mitrouskas, David Seiringer, Robert Pahl, Elke Brand, Joachim Mathematical Physics Other Condensed Matter Computational Physics The one-dimensional Fröhlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of $α\approx 1.73$ for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We find a significant spectral weight and increased phonon number of the bound excited state at threshold. |
| title | Bound excited states of Fröhlich polarons in one dimension |
| topic | Mathematical Physics Other Condensed Matter Computational Physics |
| url | https://arxiv.org/abs/2506.02440 |