Noise suppression in inverse weak value-based phase detection

Abstract

We examine the effect of different sources of technical noise on inverse weak value-based precision phase measurements. We find that this type of measurement is similarly robust to technical noise as related experiments in the weak value regime. In particular, the measurements considered here are robust to additive Gaussian white noise and angular jitter noise commonly encountered in optical experiments. Additionally, we show the same techniques used for precision phase measurement can be used with the same technical advantages for optical frequency measurements.

Gravitational sensing with weak value based optical sensors

“…3. We plot the static deflection angleθ (7) for the torque in the one-armed torsion pendulum (15), (left) and the twoarmed torsion pendulum (16), (right) as shown on the colorbars, as a function of target distance r0 (x-axis) and target mass M (y-axis). The plot, given as a log-log-log density plot, shows three decades of distance, and six of mass.…”

“…Because weak values can be much larger than their respective expectation values when ⟨ψ f ψ i ⟩ → 0, they have been used to amplify small effects. Weak value amplification has been shown to be exceptionally valuable in suppressing technical noise in precision measurements [9][10][11][12][13][14][15]. While these techniques do not beat the shot noise limit (with some exceptions, see e.g.…”

Precision frequency measurement on a chip using weak value amplification

“…Weak value amplification (WVA) [1][2][3] can be used to amplify small parameters without amplifying certain types of technical noise, in order to obtain a higher signalto-noise ratio [4]. The technique has been used to obtain enhanced measurements of a variety of parameters, such as the angular deflection of a mirror [5,6], beam displacements [7], and temperature changes [8].…”

Enhanced weak-value amplification via photon recycling

“…In an ideal, quantum-limited situation using coherent laser light, these two effects balance each other for the purposes of making precision measurements [12]. However, in many practical situations there are other noise sources this technique can suppress, such as time-correlated noise [13,14], systematic noise [15,16], and other assorted sources such as jitter and turbulence [17][18][19]. These advantages of implementing weak value amplification are all in spite of the fact that the vast majority of events are discarded.…”