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首页> 外文期刊>Physical review >Quench dynamics near a quantum critical point: Application to the sine-Gordon model
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Quench dynamics near a quantum critical point: Application to the sine-Gordon model

机译：量子临界点附近的猝灭动力学：在正弦-戈登模型中的应用

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摘要

We discuss the quench dynamics near a quantum critical point focusing on the sine-Gordon model as a primary example. We suggest a unified approach to sudden and slow quenches, where the tuning parameter λ(t) changes in time as λ(t) ～ vt~r, based on the adiabatic expansion of the excitation probability in powers of v. We show that the universal scaling of the excitation probability can be understood through the singularity of the generalized adiabatic susceptibility X2r+2(λ), which for sudden quenches (r=0) reduces to the fidelity susceptibility. In turn this class of susceptibilities is expressed through the moments of the connected correlation function of the quench operator. We analyze the excitations created after a sudden quench of the cosine potential using a combined approach of form-factors expansion and conformal perturbation theory for the low-energy and high-energy sector, respectively. We find the general scaling laws for the probability of exciting the system, the density of excited quasiparticles, the entropy and the heat generated after the quench. In the two limits where the sine-Gordon model maps to hard-core bosons and free massive fermions we provide the exact solutions for the quench dynamics and discuss the finite temperature generalizations.
机译：我们以正弦-戈登模型为重点，讨论量子临界点附近的淬灭动力学。我们建议采用一种统一的方法来应对突然和缓慢的淬灭，其中基于v的幂的激发概率的绝热扩展，调整参数λ（t）随时间变化为λ（t）〜vt〜r。可以通过广义绝热磁化率X2r + 2（λ）的奇异性来理解激发概率的通用标度，对于奇异的淬火（r = 0），其降低为保真度磁化率。此类磁化率又通过淬灭算子的相关函数的矩表示。我们使用形状因数扩展和保形摄动理论的组合方法分别分析了低能量和高能量扇区的余弦电势突然猝灭后产生的激励。我们找到了激发系统的概率，激发的准粒子的密度，熵和淬火后产生的热量的一般缩放定律。在sine-Gordon模型映射到硬核玻色子和自由大量费米子的两个极限中，我们提供了淬灭动力学的精确解并讨论了有限的温度推广。

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