论文标题
通过电磁引起的透明度对缓慢的深色深孤子的量子挤压
Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency
论文作者
论文摘要
我们考虑在冷原子气体中慢浅黑暗孤子（SLDS）的量子效应，并通过电磁诱导的透明度（EIT）脱离Kerr非线性。我们通过求解描述量子波动的相关非官能特征值问题来计算SLD的量子波动，并发现仅允许一个零模式。这与出现两个独立的零模式的明亮孤子的量子波动不同。我们严格地证明，由连续模式和零模式组成的本征模是双轴的，并且构成了完整的双重规定基础，可用于计算SLDS的量子波动。我们证明，由于KERR非线性的较大，因此可以实现SLD的大量量子挤压。挤压效率可以通过Kerr非线性和孤子的振幅来操纵，这可能比明亮的孤子量高得多。我们的工作有助于开发量子非线性光学和非热物理学，以及在量子信息处理和精度测量中的可能应用。
We consider the quantum effect of slow light dark soliton (SLDS) in a cold atomic gas with defocuing Kerr nonlinearity via electromagnetically induced transparency (EIT). We calculate the quantum fluctuations of the SLDS by solving the relevant non-Hermitian eigenvalue problem describing the quantum fluctuations, and find that only one zero mode is allowed. This is different from the quantum fluctuations of bright solitons, where two independent zero modes occur. We rigorously prove that the eigenmodes, which consist of continuous modes and the zero mode, are bi-orthogonal and constitute a complete bi-orthonormalized basis, useful for the calculation on the quantum fluctuations of the SLDS. We demonstrate that, due to the large Kerr nonlinearity contributed from the EIT effect, a significant quantum squeezing of the SLDS can be realized; the squeezing efficiency can be manipulated by the Kerr nonlinearity and the soliton's amplitude, which can be much higher than that of bright solitons. Our work contributes to efforts for developing quantum nonlinear optics and non-Hermitian Physics, and for possible applications in quantum information processing and precision measurements.
