论文标题
三维哈伯德系统中的瞬态超导性通过结合基质产品状态和自洽均值场理论
Transient superconductivity in three-dimensional Hubbard systems by combining matrix product states and self-consistent mean-field theory
论文作者
论文摘要
我们结合了基质产物态（MPS）和平均场（MF）方法，以建模由三维（3D）扩展的Hubbard系统的实时演变，该系统由一维（1D）链形成，并平行于它们之间的弱耦合。这种方法使我们能够在比以前的数值方法更扩展的实时域上处理更大的相关费用3D系统。我们将这种技术部署以研究系统的演变，因为将其参数从电荷密度波（CDW）阶段调整到超导（SC）方案中，这使我们能够研究瞬时非平衡SC的形成。在我们的ANSATZ中，我们将MPS解决方案用于链条作为自洽时间依赖的MF方案的输入。这样，将3D问题映射到有效的1D哈密顿量上，该问题使我们能够有效地使用MPS执行时间演变，并测量BCS订单参数作为时间的函数。我们的结果证实了以前的纯1D系统的发现，这些系统对于瞬态状态形成了这种情况。
We combine matrix-product state (MPS) and Mean-Field (MF) methods to model the real-time evolution of a three-dimensional (3D) extended Hubbard system formed from one-dimensional (1D) chains arrayed in parallel with weak coupling in-between them. This approach allows us to treat much larger 3D systems of correlated fermions out-of-equilibrium over a much more extended real-time domain than previous numerical approaches. We deploy this technique to study the evolution of the system as its parameters are tuned from a charge-density wave (CDW) phase into the superconducting (SC) regime, which allows us to investigate the formation of transient non-equilibrium SC. In our ansatz, we use MPS solutions for chains as input for a self-consistent time-dependent MF scheme. In this way, the 3D problem is mapped onto an effective 1D Hamiltonian that allows us to use the MPS efficiently to perform the time evolution, and to measure the BCS order parameter as a function of time. Our results confirm previous findings for purely 1D systems that for such a scenario superconductivity forms in a transient state.
