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    題名: Critical quench dynamics of random quantum spin chains: ultra-slow relaxation from initial order and delayed ordering from initial disorder
    作者: Roósz, Gergö;Lin, Yu-Cheng;Iglói, Ferenc
    林瑜琤
    貢獻者: 應物所
    日期: 2017-02
    上傳時間: 2017-06-23 17:29:04 (UTC+8)
    摘要: By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe different relaxation behaviors for quenches starting from different initial states to the critical point. Starting from a fully ordered initial state, the relaxation is logarithmically slow described by $\\overline{m}(t)\\sim {\\mathrm{ln}}^{a}t$, and in a finite sample of length L the average magnetization saturates at a size-dependent plateau ${\\overline{m}}_{p}(L)\\sim {L}^{-b};$ here the two exponents satisfy the relation $b/a=\\psi =1/2$. Starting from a fully disordered initial state, the magnetization stays at zero for a period of time until $t={t}_{{\\rm{d}}}$ with $\\mathrm{ln}{t}_{{\\rm{d}}}\\sim {L}^{\\psi }$ and then starts to increase until it saturates to an asymptotic value ${\\overline{m}}_{p}(L)\\sim {L}^{-b^{\\prime} }$, with $b^{\\prime} \\approx 1.5$. For both quenching protocols, finite-size scaling is satisfied in terms of the scaled variable $\\mathrm{ln}t/{L}^{\\psi }$. Furthermore, the distribution of long-time limiting values of the magnetization shows that the typical and the average values scale differently and the average is governed by rare events. The non-equilibrium dynamical behavior of the magnetization is explained through semi-classical theory.
    關聯: New Journal of Physics,19 , 023055
    資料類型: article
    DOI 連結: http://dx.doi.org/10.1088/1367-2630/aa60e6
    DOI: 10.1088/1367-2630/aa60e6
    顯示於類別:[應用物理研究所 ] 期刊論文

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