量子猝灭和竞争秩序
Quantum quenches and competing orders
摘要：
本文研究了非常规电荷密度波（键密度波）与$d$波超导电性之间竞争的电子模型的非平衡动力学。在含时Hartree-Fock+BCS近似下，动力学简化为在布里渊区中每对动量（$\boldsymbol{k}$，- $\boldsymbol{k}$）处实现SU（4）生成元的算符的运动方程。我们还研究了欠掺杂铜氧化物中竞争级的O（6）非线性$σ$模型的量子推广的非平衡动力学[Hayward等人，Science $\boldsymbol{343}$，1336（2014）]。在O（$N$）模型的大$N$极限下，我们得到了脉冲扰动下关联函数的时间依赖性.我们比较我们的数值研究与最近的皮秒光学实验。我们发现，一般来说，在我们的模型中的振荡响应与实验共享各种定性特征。
英文摘要：
We study the nonequilibrium dynamics of an electronic model of competition between an unconventional charge density wave (a bond density wave) and $d$-wave superconductivity. In a time-dependent Hartree-Fock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, ( $\boldsymbol{k}$, - $\boldsymbol{k}$ ), in the Brillouin zone. We also study the nonequilibrium dynamics of a quantum generalization of a O(6) nonlinear $σ$ model of competing orders in the underdoped cuprates [Hayward et al., Science $\boldsymbol{343}$, 1336 (2014)]. We obtain results, in the large $N$ limit of a O($N$) model, on the time dependence of correlation functions following a pulse disturbance. We compare our numerical studies with recent picosecond optical experiments. We find that, generically, the oscillatory responses in our models share various qualitative features with the experiments.
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