单模光子自旋算符在固定坐标系上的投影和非共面光纤中光子的量子真空几何相位
Monomode photon spin operators projected onto the fixed frame and quantum-vacuum geometric phases of photons inside a noncoplanar optical fibre
摘要：
单模光子在螺旋光纤中的传输被认为是一个含时的量子演化过程，它产生了一个几何相位。众所周知，非绝热几何相位的研究只能在薛定谔图像中进行。因此，本文讨论了光子自旋算符在固定参考系上的投影。此外，我们还处理了非正规阶自旋算子，并考虑了潜在的影响（例如，量子真空几何相位）的弯曲光纤中产生的量子波动场。利用算符正规积可以推导出具有物理意义的量子真空几何相位，从而对正规-正规过程应用于含时量子系统的有效性和普适性提出了质疑.在附录中，简要地讨论了量子真空几何相位的可能实验实现。
英文摘要：
The propagation of monomode photons inside a coiled optical fibre was regarded as a time-dependent quantum evolution process, which gives rise to a geometric phase. It is well known that the investigation of non-adiabatic geometric phases ought to be performed only in the Schrödinger picture. So, the projections of photon spin operators onto the fixed frame of reference is discussed in this paper. In addition, we also treat the non-normal-order spin operators and consider the potential effects (e.g., quantum-vacuum geometric phases) of quantum fluctuation fields arising in a curved optical fibre. The quantum-vacuum geometric phase, which is of physical interest, can be deducted by using the operator normal product, and the doubt of validity and universality for the normal-normal procedure applied to time-dependent quantum systems is thus proposed. In the Appendix, the discussion of possible experimental realizations of quantum-vacuum geometric phases is briefly presented.
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