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• W3100732451 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 $overline{m}(t) sim ln^a t$, 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 $t=t_d$ with $ln t_d sim L^{psi}$ and then starts to increase until it saturates to an asymptotic value $overline{m}_p(L) sim L^{-b'}$, with $b'approx 1.5$. For both quenching protocols, finite-size scaling is satisfied in terms of the scaled variable $ln t/L^{psi}$. 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." @default.
• W3100732451 created "2020-11-23" @default.
• W3100732451 creator A5012307393 @default.
• W3100732451 creator A5034984396 @default.
• W3100732451 creator A5065868765 @default.
• W3100732451 date "2017-02-28" @default.
• W3100732451 modified "2023-10-14" @default.
• W3100732451 title "Critical quench dynamics of random quantum spin chains: ultra-slow relaxation from initial order and delayed ordering from initial disorder" @default.
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