A different perspective on the Landau-Zener dynamics
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911837628399616 |
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| author | Glasbrenner, Eric P. Gerdes, Yannik Varró, Sándor Schleich, Wolfgang P. |
| author_facet | Glasbrenner, Eric P. Gerdes, Yannik Varró, Sándor Schleich, Wolfgang P. |
| contents | We present two different approaches towards the Landau-Zener problem: (i) The Markov approximation in the integro-differential equation for one of the two probability amplitudes, and (ii) an amplitude-and-phase analysis of the linear second order differential equation for same probability amplitude. Our treatment shows that the Markov approximation neglects the non-linearity of the equation but still provides us with the exact asymptotic result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A different perspective on the Landau-Zener dynamics Glasbrenner, Eric P. Gerdes, Yannik Varró, Sándor Schleich, Wolfgang P. Quantum Physics We present two different approaches towards the Landau-Zener problem: (i) The Markov approximation in the integro-differential equation for one of the two probability amplitudes, and (ii) an amplitude-and-phase analysis of the linear second order differential equation for same probability amplitude. Our treatment shows that the Markov approximation neglects the non-linearity of the equation but still provides us with the exact asymptotic result. |
| title | A different perspective on the Landau-Zener dynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.08466 |