arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.1658cond-mat.str-elcond-mat.quant-gas
收藏

哈伯德模型中的量子猝灭:含时平均场论和量子涨落的作用

Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations

Marco Schiro', Michele Fabrizio

摘要:

研究了费米哈伯德模型中相互作用强度突变后的非平衡动力学。在这个范围内,我们引入了一个随时间变化的方法的精神Gutzwiller的anastomosis。在鞍点近似下,我们发现在半填充小和大的相干振荡的两个不同的制度之间的急剧过渡,分离的临界线淬火系统被发现放松。任何有限的掺杂都会消除过渡,只留下一个尖锐的交叉。为了研究量子涨落的作用,我们将该模型映射到一个与自由费米子准粒子耦合的横场中的辅助量子伊辛模型上。值得注意的是,Gutzwiller近似原来对应于平均场解耦的无限配位晶格的限制,这个模型。其优点是我们可以超越平均场,并包括高斯波动周围的非平衡平均场动力学。与平衡态不同,我们发现量子涨落在平均场动力学临界线之前变得无质量并最终不稳定,这表明它们甚至可以定性地改变平均场的情况。

英文摘要:

We study the non equilibrium dynamics in the fermionic Hubbard model after a sudden change of the interaction strength. To this scope, we introduce a time dependent variational approach in the spirit of the Gutzwiller ansatz. At the saddle-point approximation, we find at half filling a sharp transition between two different regimes of small and large coherent oscillations, separated by a critical line of quenches where the system is found to relax. Any finite doping washes out the transition, leaving aside just a sharp crossover. In order to investigate the role of quantum fluctuations, we map the model onto an auxiliary Quantum Ising Model in a transverse field coupled to free fermionic quasiparticles. Remarkably, the Gutzwiller approximation turns out to correspond to the mean field decoupling of this model in the limit of infinite coordination lattices. The advantage is that we can go beyond mean field and include gaussian fluctuations around the non equilibrium mean field dynamics. Unlike at equilibrium, we find that quantum fluctuations become massless and eventually unstable before the mean field dynamical critical line, which suggests they could even alter qualitatively the mean field scenario.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑