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- W2013046555 abstract "We use a quenching scheme to study the dynamics of a one-dimensional anisotropic $XY$ spin-1/2 chain in the presence of a transverse field which alternates between the values $h+ensuremath{delta}$ and $hensuremath{-}ensuremath{delta}$ from site to site. In this quenching scheme, the parameter denoting the anisotropy of interaction $(ensuremath{gamma})$ is linearly quenched from $ensuremath{-}ensuremath{infty}$ to $+ensuremath{infty}$ as $ensuremath{gamma}=t/ensuremath{tau}$, keeping the total strength of interaction $J$ fixed. The system traverses through a gapless phase when $ensuremath{gamma}$ is quenched along the critical surface ${h}^{2}={ensuremath{delta}}^{2}+{J}^{2}$ in the parameter space spanned by $h$, $ensuremath{delta}$, and $ensuremath{gamma}$. By mapping to an equivalent two-level Landau-Zener problem, we show that the defect density in the final state scales as $1/{ensuremath{tau}}^{1/3}$, a behavior that has not been observed in previous studies of quenching through a gapless phase. We also generalize the model incorporating additional alternations in the anisotropy or in the strength of the interaction and derive an identical result under a similar quenching. Based on the above results, we propose a general scaling of the defect density with the quenching rate $ensuremath{tau}$ for quenching along a gapless critical line." @default.
- W2013046555 created "2016-06-24" @default.
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- W2013046555 date "2008-10-17" @default.
- W2013046555 modified "2023-09-26" @default.
- W2013046555 title "Quenching along a gapless line: A different exponent for defect density" @default.
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- W2013046555 doi "https://doi.org/10.1103/physrevb.78.144301" @default.
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