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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >The geometric phase and the dynamics of quantum phase transition induced by a linear quench
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The geometric phase and the dynamics of quantum phase transition induced by a linear quench

机译:线性淬灭引起的几何相和量子相变动力学

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摘要

We have analysed here the role of geometric phase in the dynamical mechanism of quantum phase transition in the transverse Ising model. We have investigated the system when it is driven at a fixed rate characterized by a quench time τ_q across the critical point from a paramagnetic to ferromagnetic phase. Our argument is based on the fact that the spin fluctuation occurring during the critical slowing down causes a random fluctuation in the ground-state geometric phase at the critical regime. The correlation function of the random geometric phase determines the excitation probability of the quasiparticles, which are excited during the transition from the inital paramagnetic to the ferromagnetic phase. This helps us to evaluate the number density of the kinks formed during the transition, which is found to scale as τ_q~(-1/2). In addition, we have also estimated the spin-spin correlation at criticality.
机译:我们在这里分析了横向伊辛模型中几何相位在量子相变动力学机制中的作用。我们已经研究了当系统以固定速率驱动时的系统,该系统的特征是在从顺磁到铁磁相的临界点上都具有淬灭时间τ_q。我们的论据基于这样一个事实,即在临界减速期间发生的自旋波动会在临界状态下引起基态几何相位的随机波动。随机几何相位的相关函数确定了准粒子的激发概率,这些准粒子在从初始顺磁性相到铁磁性相的过渡过程中被激发。这有助于我们评估在过渡过程中形成的纽结的数量密度,发现该纽结的比例为τ_q〜(-1/2)。此外,我们还估计了临界时的自旋-自旋相关性。

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