二次量子化量子场的纠缠动力学
Entanglement dynamics of second quantized quantum fields
摘要：
研究了耦合量子场系统中的纠缠动力学。我们证明了，如果耦合是线性的，即如果总的哈密顿量是一个二次型的字段操作员，纠缠只能在字段之间转移。我们证明了在高粒子数的极限下，双模自相互作用玻色子场模型中存在相干性高斯衰减的纠缠。这个系统有趣的特点是，即使模式之间没有直接的相互作用，不同模式的粒子也会纠缠在一起。应用这些结果分析了双模Jaynes-Cummings模型在大光子数极限下的纠缠动力学。在假设光子与原子相互作用保持螺旋度不变的情况下，不同偏振态的光子仍然会由于原子的有效相互作用而纠缠，特征纠缠时间随光子数线性增加。
英文摘要：
We study the entanglement dynamics in the system of coupled quantum fields. We prove that if the coupling is linear, that is if the total Hamiltonian is a quadratic form of field operators, entanglement can only be transferred between the fields. We show that entanglement is produced in the model of the two-mode self-interacting boson field with the characteristic Gaussian decay of coherence in the limit of high number of particles. The interesting feature of this system is that the particles in different modes become entangled even if there is no direct interaction between the modes. We apply these results for analysis of the entanglement dynamics in the two-mode Jaynes-Cummings model in the limit of large number of photons. While the photon-atom interaction is assumed to conserve helicity the photons with different polarizations still get entangled due to an effective interaction mediated by the atom with the characteristic entanglement time linearly increasing with the number of photons.
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