Characterizing dynamical behaviors in topological open systems with boundary dissipations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909976121835520 |
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| author | Zheng, Zhen-Yu Wang, Xueliang Chen, Shu |
| author_facet | Zheng, Zhen-Yu Wang, Xueliang Chen, Shu |
| contents | We investigate the dynamics of the Su-Schrieffer-Heeger model with boundary dissipations described by Lindblad master equations and unravel distinct dynamical features in the topologically different phases of the underlying Hamiltonian. By examining the long-time damping dynamics, we uncover a dynamical duality phenomenon between the weak and strong dissipation region, which exists only in the topologically non-trivial phase, linked to the structure of the Liouvillian spectra,particularly the stripe closest to the steady state. When dissipation is confined to a single boundary, the dynamical duality phenomenon still exists. Under this condition, the Liouvillian gap fulfills an exponential size scaling relation in the topologically non-trivial phase and a power-law size scaling relation in the topologically trivial phase. Within the topologically non-trivial region, we identify the existence of boundary-localized dark states in the thermodynamical limit, which is responsible for the exponential size decay of Liouvillian gap. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_00363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizing dynamical behaviors in topological open systems with boundary dissipations Zheng, Zhen-Yu Wang, Xueliang Chen, Shu Quantum Physics Other Condensed Matter We investigate the dynamics of the Su-Schrieffer-Heeger model with boundary dissipations described by Lindblad master equations and unravel distinct dynamical features in the topologically different phases of the underlying Hamiltonian. By examining the long-time damping dynamics, we uncover a dynamical duality phenomenon between the weak and strong dissipation region, which exists only in the topologically non-trivial phase, linked to the structure of the Liouvillian spectra,particularly the stripe closest to the steady state. When dissipation is confined to a single boundary, the dynamical duality phenomenon still exists. Under this condition, the Liouvillian gap fulfills an exponential size scaling relation in the topologically non-trivial phase and a power-law size scaling relation in the topologically trivial phase. Within the topologically non-trivial region, we identify the existence of boundary-localized dark states in the thermodynamical limit, which is responsible for the exponential size decay of Liouvillian gap. |
| title | Characterizing dynamical behaviors in topological open systems with boundary dissipations |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2503.00363 |