Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
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| Format: | Preprint |
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2023
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| author | Cao, Kaiyuan Hu, Yayun Tong, Peiqing Yang, Guangwen |
| author_facet | Cao, Kaiyuan Hu, Yayun Tong, Peiqing Yang, Guangwen |
| contents | We investigate the dynamical relaxation behavior of the two-point correlation in extended XY models with a gapless phase after quenches from various initial states. Specifically, we study the XY chain with gapless phase induced by the additional interactions: Dzyaloshinskii-Moriya interaction and XZY-YZX type of three-site interaction. When quenching from the gapped phase, we observe that the additional interactions have no effect on the relaxation behavior. The relaxation behavior is $δC_{mn}(t)\sim t^{-3/2}$ and $\sim t^{-1/2}$ for the quench to the commensurate phase and the incommensurate phase, respectively. However, when quenching from the gapless phase, we demonstrate that the scaling behavior of $δC_{mn}(t)$ is changed to $\sim t^{-1}$ for the quench to the commensurate phase, and the decay of $δC_{mn}(t)$ follows $\sim t^{-1}$ or $\sim t^{-1/2}$ for the quench to the incommensurate phase depending on the parameters of pre-quench Hamiltonian. We also establish the dynamical phase diagrams based on the dynamical relaxation behavior of $δC_{mn}(t)$ in the extended XY models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_02686 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench Cao, Kaiyuan Hu, Yayun Tong, Peiqing Yang, Guangwen Statistical Mechanics We investigate the dynamical relaxation behavior of the two-point correlation in extended XY models with a gapless phase after quenches from various initial states. Specifically, we study the XY chain with gapless phase induced by the additional interactions: Dzyaloshinskii-Moriya interaction and XZY-YZX type of three-site interaction. When quenching from the gapped phase, we observe that the additional interactions have no effect on the relaxation behavior. The relaxation behavior is $δC_{mn}(t)\sim t^{-3/2}$ and $\sim t^{-1/2}$ for the quench to the commensurate phase and the incommensurate phase, respectively. However, when quenching from the gapless phase, we demonstrate that the scaling behavior of $δC_{mn}(t)$ is changed to $\sim t^{-1}$ for the quench to the commensurate phase, and the decay of $δC_{mn}(t)$ follows $\sim t^{-1}$ or $\sim t^{-1/2}$ for the quench to the incommensurate phase depending on the parameters of pre-quench Hamiltonian. We also establish the dynamical phase diagrams based on the dynamical relaxation behavior of $δC_{mn}(t)$ in the extended XY models. |
| title | Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2309.02686 |