论文标题
部分可观测时空混沌系统的无模型预测
A lattice pairing-field approach to ultracold Fermi gases
论文作者
论文摘要
我们开发了一种配对场形式主义，用于从$（d \！+\！1）$ - 尺寸时空晶格上对非相关的两部分费米子进行临时研究。更具体地说，我们关注的理论可以通过交换相应的配对字段来描述两个组件之间的相互作用。对于例如，有限温度的相结构和临界行为，例如Ultracold Atomic Fermi气体的临界行为，配对场的引入确实很方便。此外，这种形式主义允许直接计算成对传播器的动量和频率依赖性，从中可以从中提取成对相关函数。为了首先说明我们形式主义的应用，我们通过采用复杂的langevin方法来解决符号问题，计算出$（0 \！+\！1）$（0 \！+\！1）$ dimensions in状态的密度方程和超极化费米子的超级流体顺序参数。
We develop a pairing-field formalism for ab initio studies of non-relativistic two-component fermions on a $(d\!+\!1)$-dimensional spacetime lattice. More specifically, we focus on theories where the interaction between the two components can be described by the exchange of a corresponding pairing field. The introduction of a pairing field may indeed be convenient for studies of, e.g., the finite-temperature phase structure and critical behavior of, e.g., ultracold atomic Fermi gases. Moreover, such a formalism allows to directly compute the momentum and frequency dependence of the pair propagator, from which the pair-correlation function can be extracted. For a first illustration of the application of our formalism, we compute the density equation of state and the superfluid order parameter for a gas of unpolarized fermions in $(0\!+\!1)$ dimensions by employing the complex Langevin approach to surmount the sign problem.
