弱值、量子轨道和石溪腔QED实验
Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
摘要:
由Aharonov,Albert和Vaidman(AAV)引入的弱值是弱测量结果的集合平均值。当系综在特定的初始状态上被预选,在特定的最终测量结果上被后选时,它们是有趣的。我表明,弱值自然出现在量子光学,弱测量发生时,一个开放的系统进行监测(如通过光电探测器)。我使用量子轨道理论来推导AAV公式的推广,包括(a)混合初始条件,(b)非幺正演化,(c)广义(非投射)最终测量,(d)非反作用规避弱测量。我把这个理论应用到最近的石溪腔QED实验中,证明了波粒二象性[G. T.洛杉矶福斯特奥罗斯科Castro-Beltran和H.J. Carmichael,Phys. Rev. Lett. {85},3149(2000)]。我表明,在该实验中测量的“分数”关联函数可以被重铸为弱值,其形式与AAV引入的形式一样简单。
英文摘要:
Weak values as introduced by Aharonov, Albert and Vaidman (AAV) are ensemble average values for the results of weak measurements. They are interesting when the ensemble is preselected on a particular initial state and postselected on a particular final measurement result. I show that weak values arise naturally in quantum optics, as weak measurements occur whenever an open system is monitored (as by a photodetector). I use quantum trajectory theory to derive a generalization of AAV's formula to include (a) mixed initial conditions, (b) nonunitary evolution, (c) a generalized (non-projective) final measurement, and (d) a non-back-action-evading weak measurement. I apply this theory to the recent Stony-Brook cavity QED experiment demonstrating wave-particle duality [G.T. Foster, L.A. Orozco, H.M. Castro-Beltran, and H.J. Carmichael, Phys. Rev. Lett. {85}, 3149 (2000)]. I show that the ``fractional'' correlation function measured in that experiment can be recast as a weak value in a form as simple as that introduced by AAV.
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