International School for Advanced Studies (SISSA), and CRS Democritos, CNR-INFM, via Bonomea 265, 34136 Trieste Italy.
Phys Rev Lett. 2010 Aug 13;105(7):076401. doi: 10.1103/PhysRevLett.105.076401. Epub 2010 Aug 10.
A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wave function. As an application, we study the simple case of a sudden change of the interaction in the fermionic Hubbard model and find at the mean-field level an extremely rich behavior. In particular, a dynamical transition between small and large quantum quench regimes is found to occur at half-filling, in accordance with the analysis of Eckstein, Phys. Rev. Lett. 103, 056403 (2009)10.1103/PhysRevLett.103.056403, obtained by dynamical mean-field theory, that turns into a crossover at any finite doping.
通过含时 Gutzwiller 波函数,我们引入了一种简单而灵活的处理强关联电子系统非平衡量子动力学的变分方法。作为一个应用,我们研究了在费米 Hubbard 模型中突然改变相互作用的简单情况,并在平均场水平上发现了极其丰富的行为。特别是,在半满时发现了一个从小量子猝灭到大量子猝灭的动力学转变,这与 Eckstein 的分析相符,Phys. Rev. Lett. 103, 056403 (2009)10.1103/PhysRevLett.103.056403,这是通过动力学平均场理论得到的,在任何有限掺杂下都会变成一个交叉。