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 Title: Critical quench dynamics of random quantum spin chains: ultra-slow relaxation from initial order and delayed ordering from initial disorder Authors: Roósz, Gergö;Lin, Yu-Cheng;Iglói, Ferenc林瑜琤 Contributors: 應物所 Date: 2017-02 Issue Date: 2017-06-23 17:29:04 (UTC+8) Abstract: 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. Relation: New Journal of Physics,19 , 023055 Data Type: article DOI 連結: http://dx.doi.org/10.1088/1367-2630/aa60e6 DOI: 10.1088/1367-2630/aa60e6 Appears in Collections: [應用物理研究所 ] 期刊論文

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