arXiv 2005.085322020-05-19cond-mat.quant-gas

自旋-轨道耦合玻色-爱因斯坦凝聚体中的自旋压缩

Spin squeezing in a spin-orbit coupled Bose-Einstein condensate

Li Chen, Yunbo Zhang, Han Pu

备注：: 8 pages, 4 figures
发表信息：: Phys. Rev. A 102, 023317 (2020)
DOI：: 10.1103/PhysRevA.102.023317

摘要：

研究了拉曼诱导自旋轨道耦合下自旋为1/2的玻色-爱因斯坦凝聚体的自旋压缩。在双光子共振和弱喇曼耦合条件下，系统具有两个简并基态，利用这两个基态我们建立了一个有效的双模模型。双模模型的哈密顿量采用单轴扭转哈密顿量的形式，已知单轴扭转哈密顿量会产生自旋压缩。更重要的是，我们表明，SOC提供了一个方便的控制旋钮来调整自旋压缩负责的自旋非线性。具体地说，自旋非线性强度可以被调谐到与两体密度-密度相互作用相当，因此远大于传统的双组分BEC系统，如$^{87}$ Rb和$^{23}$ Na在没有SOC的情况下的本征自旋相关的相互作用强度。此外，还讨论了实验实现。

英文摘要：

We study the spin squeezing in a spin-1/2 Bose-Einstein condensates (BEC) with Raman induced spin-orbit coupling (SOC). Under the condition of two-photon resonance and weak Raman coupling strength, the system possesses two degenerate ground states, using which we construct an effective two-mode model. The Hamiltonian of the two-mode model takes the form of the one-axis-twisting Hamiltonian which is known to generate spin squeezing. More importantly, we show that the SOC provides a convenient control knob to adjust the spin nonlinearity responsible for spin squeezing. Specifically, the spin nonlinearity strength can be tuned to be comparable to the two-body density-density interaction, hence is much larger than the intrinsic spin-dependent interaction strength in conventional two-component BEC systems such as $^{87}$Rb and $^{23}$Na in the absence of the SOC. We confirm the spin squeezing by carrying out a fully beyond-mean-field numerical calculation using the truncated Wigner method. Additionally, the experimental implementation is also discussed.

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