SUPA, Department of Physics, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom.
Phys Rev Lett. 2010 Feb 19;104(7):073603. doi: 10.1103/PhysRevLett.104.073603. Epub 2010 Feb 18.
In the presence of a laser-induced spin-orbit coupling an interacting ultracold spinor Bose-Einstein condensate may acquire a quasirelativistic character described by a nonlinear Dirac-like equation. We show that as a result of the spin-orbit coupling and the nonlinearity the condensate may become self-trapped, resembling the so-called chiral confinement, previously studied in the context of the massive Thirring model. We first consider 1D geometries where the self-confined condensates present an intriguing sinusoidal dependence on the interparticle interactions. We further show that multidimensional chiral confinement is also possible under appropriate feasible laser arrangements, and discuss the properties of 2D and 3D condensates, which differ significantly from the 1D case.
在激光诱导的自旋轨道耦合作用下,相互作用的超冷玻色-爱因斯坦凝聚体可能获得准相对论性质,由非线性的类 Dirac 方程来描述。我们表明,由于自旋轨道耦合和非线性,凝聚体可能会自陷,类似于之前在大规模 Thirring 模型的背景下研究的手性约束。我们首先考虑一维几何形状,其中自陷凝聚体表现出有趣的对粒子间相互作用的正弦依赖性。我们进一步表明,在适当的可行激光配置下也可能实现多维手性约束,并讨论二维和三维凝聚体的性质,它们与一维情况有很大的不同。