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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2312.02423 |
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| _version_ | 1866914747353399296 |
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| author | Colín-Gálvez, J. Castaño, E. Báez, G. Domínguez-Rocha, V. |
| author_facet | Colín-Gálvez, J. Castaño, E. Báez, G. Domínguez-Rocha, V. |
| contents | We analyze the behavior of a non-Hermitian opened one-dimensional quantum system with $\mathcal{PT}$ symmetry. This system is built by a dimer, with balanced gains and losses described by a parameter $γ$. By varying $γ$ the system resonances, which are naturally separated, coalesce at the exceptional point (EP). The transmission spectrum is obtained by means of the scattering matrix ($S$ matrix) formalism and we examine the wave functions corresponding to the resonances as a function of $γ$. Specifically, we look for the behavior and distribution of the phases of the $S$ matrix before, at and after the EP. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02423 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The rise and fall of the amplitude, and phase, around Exceptional Points: a Scattering matrix approach Colín-Gálvez, J. Castaño, E. Báez, G. Domínguez-Rocha, V. Quantum Physics We analyze the behavior of a non-Hermitian opened one-dimensional quantum system with $\mathcal{PT}$ symmetry. This system is built by a dimer, with balanced gains and losses described by a parameter $γ$. By varying $γ$ the system resonances, which are naturally separated, coalesce at the exceptional point (EP). The transmission spectrum is obtained by means of the scattering matrix ($S$ matrix) formalism and we examine the wave functions corresponding to the resonances as a function of $γ$. Specifically, we look for the behavior and distribution of the phases of the $S$ matrix before, at and after the EP. |
| title | The rise and fall of the amplitude, and phase, around Exceptional Points: a Scattering matrix approach |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.02423 |