Solution to a class of multistate Landau-Zener model beyond integrability conditions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913402920632320 |
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| author | Hu, Rongyu Li, Fuxiang Sun, Chen |
| author_facet | Hu, Rongyu Li, Fuxiang Sun, Chen |
| contents | We study a class of multistate Landau-Zener model which cannot be solved by integrability conditions or other standard techniques. By analyzing analytical constraints on its scattering matrix and performing fitting to results from numerical simulations of the Schrödinger equation, we find nearly exact analytical expressions of all its transition probabilities for specific parameter choices. We also determine the transition probabilities up to leading orders of series expansions in terms of the inverse sweep rate (namely, in the diabatic limit) for general parameter choices. We further show that this model can describe a Su-Schrieffer-Heeger chain with couplings changing linearly in time. Our work presents a new route, i.e., analytical constraint plus fitting, to analyze those multistate Landau-Zener models which are beyond the applicability of conventional solving methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09023 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Solution to a class of multistate Landau-Zener model beyond integrability conditions Hu, Rongyu Li, Fuxiang Sun, Chen Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics We study a class of multistate Landau-Zener model which cannot be solved by integrability conditions or other standard techniques. By analyzing analytical constraints on its scattering matrix and performing fitting to results from numerical simulations of the Schrödinger equation, we find nearly exact analytical expressions of all its transition probabilities for specific parameter choices. We also determine the transition probabilities up to leading orders of series expansions in terms of the inverse sweep rate (namely, in the diabatic limit) for general parameter choices. We further show that this model can describe a Su-Schrieffer-Heeger chain with couplings changing linearly in time. Our work presents a new route, i.e., analytical constraint plus fitting, to analyze those multistate Landau-Zener models which are beyond the applicability of conventional solving methods. |
| title | Solution to a class of multistate Landau-Zener model beyond integrability conditions |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics |
| url | https://arxiv.org/abs/2306.09023 |