Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
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| Format: | Preprint |
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2024
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| _version_ | 1866908523268407296 |
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| author | Sun, Yue-Mei Wang, Xin-Yu Zhai, Liang-Jun |
| author_facet | Sun, Yue-Mei Wang, Xin-Yu Zhai, Liang-Jun |
| contents | The driven dynamics of localization transitions in a non-Hermitian Disordered Aubry-André (DAA) model are examined under both open boundary conditions (OBC) and periodic boundary conditions (PBC). Through an analysis of the static properties of observables, including the localization length ($ξ$), inverse participation ratio ($\rm IPR$), and energy gap ($ΔE$), we found that the critical exponents examined under PBC are also applicable under OBC. The Kibble-Zurek scaling (KZS) for the driven dynamics in the non-Hermitian DAA systems is formulated and numerically verified for different local-to-local quench directions. The hybrid KZS (HKZS) in the overlapping critical region of non-Hermitian DAA and Anderson localization is proposed and numerically confirmed the validity across a local-to-skin quench direction. This study generalizes the application of the KZS to the dynamical localization transitions within systems featuring dual localization mechanisms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_12540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model Sun, Yue-Mei Wang, Xin-Yu Zhai, Liang-Jun Disordered Systems and Neural Networks The driven dynamics of localization transitions in a non-Hermitian Disordered Aubry-André (DAA) model are examined under both open boundary conditions (OBC) and periodic boundary conditions (PBC). Through an analysis of the static properties of observables, including the localization length ($ξ$), inverse participation ratio ($\rm IPR$), and energy gap ($ΔE$), we found that the critical exponents examined under PBC are also applicable under OBC. The Kibble-Zurek scaling (KZS) for the driven dynamics in the non-Hermitian DAA systems is formulated and numerically verified for different local-to-local quench directions. The hybrid KZS (HKZS) in the overlapping critical region of non-Hermitian DAA and Anderson localization is proposed and numerically confirmed the validity across a local-to-skin quench direction. This study generalizes the application of the KZS to the dynamical localization transitions within systems featuring dual localization mechanisms. |
| title | Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2411.12540 |