Quantum quench dynamics of some exactly solvable models in one dimension
Quantum quench dynamics of some exactly solvable models in one dimension
复制标题
一些一维精确可解模型的量子淬灭动力学
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Cazalilla
中科院分区：
文献类型：
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作者：
A. Iucci;M. Cazalilla
研究了Luttinger模型和Sine-Gordon模型(在路德-埃默里点和半经典近似下)在量子猝灭后的动力学。我们详细地计算了不同类型猝灭的单点和两点关联函数：从非相互作用到相互作用的Luttinger模型，反之亦然，从Sine-Gordon模型的有间隙相到无间隙相，反之亦然。在Luttinger模型中，当失超到相互作用态时，动量分布中的费米气体特征被逐渐破坏。空间关联的临界指数也与它们的平衡值不同。Sine-Gordon模型从有间隙相到无间隙相失超后的关联式与Calabrese和Cardy[Phys]的预言一致。莱特牧师。136801(2006年)]。然而，在路德-金刚砂和半经典极限从有间隙到无间隙阶段的猝灭之后，关联表现出一些不同的行为，这可能表明当一个人离开路德能源点时，半经典近似的崩溃或关联行为的质变。在所有情况下，我们发现失超后无限次的关联可以用一个广义的Gibbs系综来很好地描述[M.Rigol emph{等]物理。莱特牧师。{f98}，050405(2007年)]，它给每个本征模分配了一个动量相关的温度。
The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa, and from the gapped to the gapless phase of the sine-Gordon model and vice-versa. A progressive destruction of the Fermi gas features in the momentum distribution is found in the case of a quench into an interacting state in the Luttinger model. The critical exponents for spatial correlations are also found to be different from their equilibrium values. Correlations following a quench of the sine-Gordon model from the gapped to the gapless phase are found in agreement with the predictions of Calabrese and Cardy [Phys. Rev. Lett. {f 96} 136801 (2006)]. However, correlations following a quench from the gapped to the gapless phase at the Luther-Emery and the semi-classical limit exhibit a somewhat different behavior, which may indicate a break-down of the semiclassical approximation or a qualitative change in the behavior of correlations as one moves away from the Luther-Emergy point. In all cases, we find that the correlations at infinite times after the quench are well described by a generalized Gibbs ensemble [M. Rigol emph{et al.} Phys. Rev. Lett. {f 98}, 050405 (2007)], which assigns a momentum dependent temperature to each eigenmode.