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Emergent gauge field and the Lifshitz transition of spin-orbit coupled bosons in one dimension

机译:一维自旋轨道耦合玻色子的新兴尺度场和Lifshitz跃迁

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摘要

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one theoretically proposed for itinerant magnetic solid-state systems. The order parameter describes broken Z2 inversion symmetry, with the ordered phase accompanied by non-vanishing momentum which is generated by fluctuations of an emergent dynamical gauge field at the phase transition. This quantum phase transition has dynamical critical exponent z ≃ 2, typical of a Lifshitz transition, but is described by a nontrivial interacting fixed point. From direct numerical simulation of the microscopic model, we extract previously unknown critical exponents for this fixed point. Our model describes a realistic situation of 1D ultracold atoms with Raman-induced spin-orbit coupling, establishing this system as a platform for studying exotic critical behavior of the Hertz-Millis type.
机译:在存在强自旋无关相互作用和自旋轨道耦合的情况下,我们表明,受限于一个空间维度的自旋玻色子液体经历了相互作用或密度调节的量子相变,类似于理论上为迭代磁性固态系统提出的量子相变。有序参数描述了破碎的Z2反演对称性,有序相位伴随着不消失的动量,该动量是由相变时出现的动态规范场的波动产生的。这种量子相变具有动态临界指数z transition2,这是Lifshitz跃迁的典型特征,但由非平凡的相互作用固定点描述。从微观模型的直接数值模拟中,我们提取了该固定点以前未知的临界指数。我们的模型描述了具有拉曼诱导的自旋轨道耦合的一维超冷原子的现实情况,将该系统建立为研究Hertz-Millis类型的奇异临界行为的平台。

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