论文标题
bardeen-cooper-schrieffer-型在旋转中 - $ \ frac {1} {2} $ bose a bose a stan Spin-Orbit耦合
Bardeen-Cooper-Schrieffer--type pairing in a spin-$\frac{1}{2}$ Bose gas with spin-orbit coupling
论文作者
论文摘要
我们应用功能性途径 - 综合方法来分析自旋轨道耦合（SOC）的存在如何影响两个组分型玻色气中BCS型配对状态的基本特性。除了基于组件间配对的鞍点近似的平均场理论外，我们还通过在顶部包括高斯波动来得出Ginzburg-Landau理论，并利用它们来揭示成对状态在有限的温度下配对状态的稳定性的任意SOC领域的动量空间结构的关键作用。为此，我们计算成对玻色子形成的临界过渡温度以及无间隙准粒子激发的临界温度，以进行广泛的相互作用和SOC强度。为了支持我们解决多体问题的结果，我们还针对可分析的限制进行了数值计算，并提供了两体限制的完整说明，包括其非易变的结合能，用于任意弱相互作用和各向异性有效的质量张量。
We apply the functional path-integral approach to analyze how the presence of a spin-orbit coupling (SOC) affects the basic properties of a BCS-type paired state in a two-component Bose gas. In addition to a mean-field theory that is based on the saddle-point approximation for the inter-component pairing, we derive a Ginzburg-Landau theory by including the Gaussian fluctuations on top, and use them to reveal the crucial roles played by the momentum-space structure of an arbitrary SOC field in the stability of the paired state at finite temperatures. For this purpose, we calculate the critical transition temperature for the formation of paired bosons, and that of the gapless quasiparticle excitations for a broad range of interaction and SOC strengths. In support of our results for the many-body problem, we also benchmark our numerical calculations against the analytically-tractable limits, and provide a full account of the two-body limit including its non-vanishing binding energy for arbitrarily weak interactions and the anisotropic effective mass tensor.
