Probing topological phase transition with non-Hermitian perturbations
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| Format: | Preprint |
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2023
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| _version_ | 1866910285196951552 |
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| author | Liang, Jingcheng Fang, Chen Hu, Jiangping |
| author_facet | Liang, Jingcheng Fang, Chen Hu, Jiangping |
| contents | We demonstrate that non-Hermitian perturbations can probe topological phase transitions and unambiguously detect non-Abelian zero modes. We show that under carefully designed non-Hermitian perturbations, the Loschmidt echo(LE) decays into 1/N where N is the ground state degeneracy in the topological non-trivial phase, while it approaches 1 in the trivial phase. This distinction is robust against small parameter deviations in the non-Hermitian perturbations. We further study four well-known models that support Majorana or parafermionic zero modes. By calculating their dynamical responses to specific non-Hermitian perturbations, we prove that the steady-state LE can indeed differentiate between different phases. This method avoids the ambiguity introduced by trivial zero-energy states and thus provides an alternative and promising way to demonstrate the emergence of topologically non-trivial phases. The experimental realizations of non-Hermitian perturbations are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00530 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Probing topological phase transition with non-Hermitian perturbations Liang, Jingcheng Fang, Chen Hu, Jiangping Quantum Physics Mesoscale and Nanoscale Physics Superconductivity We demonstrate that non-Hermitian perturbations can probe topological phase transitions and unambiguously detect non-Abelian zero modes. We show that under carefully designed non-Hermitian perturbations, the Loschmidt echo(LE) decays into 1/N where N is the ground state degeneracy in the topological non-trivial phase, while it approaches 1 in the trivial phase. This distinction is robust against small parameter deviations in the non-Hermitian perturbations. We further study four well-known models that support Majorana or parafermionic zero modes. By calculating their dynamical responses to specific non-Hermitian perturbations, we prove that the steady-state LE can indeed differentiate between different phases. This method avoids the ambiguity introduced by trivial zero-energy states and thus provides an alternative and promising way to demonstrate the emergence of topologically non-trivial phases. The experimental realizations of non-Hermitian perturbations are discussed. |
| title | Probing topological phase transition with non-Hermitian perturbations |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2401.00530 |