| dc.contributor | 應物所 | - |
| dc.creator (作者) | Roósz, Gergö ; Lin, Yu-Cheng ; Iglói, Ferenc | en-US |
| dc.creator (作者) | 林瑜琤 | zh-TW |
| dc.date (日期) | 2017-02 | - |
| dc.date.accessioned | 23-Jun-2017 17:29:04 (UTC+8) | - |
| dc.date.available | 23-Jun-2017 17:29:04 (UTC+8) | - |
| dc.date.issued (上傳時間) | 23-Jun-2017 17:29:04 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/110480 | - |
| dc.description.abstract (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. | - |
| dc.format.extent | 1118381 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | New Journal of Physics,19 , 023055 | - |
| dc.title (題名) | Critical quench dynamics of random quantum spin chains: ultra-slow relaxation from initial order and delayed ordering from initial disorder | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1088/1367-2630/aa60e6 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1088/1367-2630/aa60e6 | - |
