论文标题
非线性对通过角动量耦合的量子谐波模式动力学的影响
Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
论文作者
论文摘要
我们研究了对通过角动量耦合的两个谐波模式系统中纠缠和其他量子可观察物的动力学的非线性影响。非线性是由每个模式中四分之一的非谐音术语产生的。通过截断,检查了不同初始产物相干状态和耦合的纠缠,非高斯,光子数,光子抗抗激素和挤压的出现和演变。结果表明,非谐的术语,即使弱,也会对此类初始状态产生非常重大的影响,从而大大增强和稳定纠缠,并导致进化状态的非可忽略不计。它们还会影响其他可观察物,在初始瞬态态度之后稳定动力学,每种模式的初始平均种群不太小。还提供了分析短期近似表达式。
We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a quartic anharmonic term in each mode. The emergence and evolution of entanglement, non-gaussianity, photon number, photon antibunching and squeezing are examined for different initial product coherent states and couplings, through exact diagonalization in a truncated basis. It is shown that the anharmonic terms, even if weak, can lead to very significant effects for such initial states, considerably enhancing and stabilizing entanglement and leading to a non negligible non-gaussianity of the evolved states. They also affect other observables, stabilizing the dynamics after an initial transient regime, for not too small initial average populations of each mode. Analytic short-time approximate expressions are also provided.