Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913617479204864 |
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| author | Zhang, H. P. Song, Z. |
| author_facet | Zhang, H. P. Song, Z. |
| contents | In the Hermitian regime, the Wannier-Stark ladder characterizes the eigenstates of an electron in a periodic potential with an applied static electric field. In this work, we extend this concept to the complex regime for a periodic non-Hermitian system under a linear potential. We show that although the energy levels can be complex, they are still equally spaced by a real Bloch frequency. This ensures single-particle Bloch oscillations with a damping (or growing) rate. The system can also support standard two-particle Bloch oscillations under certain conditions. We propose two types of dimerized non-Hermitian systems to demonstrate our results. In addition, we also propose a scheme to demonstrate the results of electron-pair dynamics in a single-particle 2D $\mathcal{PT}$-symmetric square lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems Zhang, H. P. Song, Z. Quantum Physics In the Hermitian regime, the Wannier-Stark ladder characterizes the eigenstates of an electron in a periodic potential with an applied static electric field. In this work, we extend this concept to the complex regime for a periodic non-Hermitian system under a linear potential. We show that although the energy levels can be complex, they are still equally spaced by a real Bloch frequency. This ensures single-particle Bloch oscillations with a damping (or growing) rate. The system can also support standard two-particle Bloch oscillations under certain conditions. We propose two types of dimerized non-Hermitian systems to demonstrate our results. In addition, we also propose a scheme to demonstrate the results of electron-pair dynamics in a single-particle 2D $\mathcal{PT}$-symmetric square lattice. |
| title | Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.02399 |