光学陷阱玻色混合物中的跨维度量子液滴
Transdimensional quantum droplets in an optically trapped Bose mixture
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中文总结 AI 辅助
研究对称双组分玻色混合物中由光学晶格驱动的跨维度量子液滴，发现负晶格贡献和吸引性涨落分别提供三维和准一维区域的束缚，种间p波相互作用仅影响自旋分支并降低平衡密度。
中文摘要 AI 辅助
我们研究了具有种间$p$-波相互作用和二维横向光学晶格的对称双组分玻色混合物中的量子液滴。晶格驱动了从各向异性三维气体到弱耦合一维管道的交叉。我们在高斯水平上计算了基态能量和量子耗损，并推导了它们的极限形式。在$y=g_{12}/g=-0.95$处，裸平均场是排斥的且不存在自由空间液滴，计算得到的体态方程支持跨整个交叉的自束缚最小值：在三维区域，$n^{2}$阶的负晶格贡献提供吸引力；在准一维区域，吸引性涨落提供吸引力；而中间的跨维度范围则无法由任一极限定量描述。种间$p$-波相互作用仅修改自旋分支。在所研究的参数范围内，增加其强度会降低跨交叉的平衡密度，这与诱导束缚的减弱一致。
英文摘要
We study quantum droplets in a symmetric two-component Bose mixture with interspecies $p$-wave interactions and a two-dimensional transverse optical lattice. The lattice drives a crossover from an anisotropic three-dimensional gas to weakly coupled one-dimensional tubes. We calculate the ground-state energy and quantum depletion at the Gaussian level and derive their limiting forms. At $y=g_{12}/g=-0.95$, where the bare mean field is repulsive and no free-space droplet exists, the calculated bulk equation of state supports a self-bound minimum across the crossover: a negative lattice contribution at order $n^{2}$ supplies the attraction in the three-dimensional regime, and attractive fluctuations do so in the quasi-one-dimensional regime, with the intermediate, transdimensional range described quantitatively by neither limit. The interspecies $p$-wave interaction modifies only the spin branch. In the parameter range studied, increasing its strength lowers the equilibrium density across the crossover, consistently with a weakening of the induced binding.
发表机构
- Zhejiang Normal University（浙江师范大学）
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