Weak Value Amplification in Resonance Fluorescence

Abstract

The concept of weak measurement and associated weak value amplification has sharpened our understanding of the measurement process in quantum mechanics. Recent experiments show that elastic scattering events in resonance fluorescence experiments can exhibit weak value amplification effect, by post-selecting a particular measurement outcome. In this article, we theoretically analyse the physics behind this amplification process. We show that, in general, weak interaction and the associated weak value amplification in resonance fluorescence can be derived from the wellknown theory of spontaneous emission put forth by Wigner and Weiskopff. Using this theory we show that in the elastic scattering regime of resonance fluorescence, weak value amplification helps in segregating rare events. To our knowledge, weak value amplification has not been applied earlier in the time domain as a potential tool to study rare events.

Tunneling time in attosecond experiment for hydrogen atom

“…We discuss now our model equations (2)-(4) in regard to the experimental result of [22] for H-atom and the accompanied TDSE simulation. In figure 2 we plot the data shown in figure 3 [22]). One notes that an angle is a pure number and cannot define an operator to represent an observable.…”

“…In this paper we discuss our tunneling model considering the experimental result of Sainadh [22] for H-atom, and the accompanied theoretical result or the simulations of time-dependent Schrödinger equation (TDSE). In the attosecond experiments, precisely attosecond angular streaking experiments, the time is mapped to angular momentum using the rotating electric field vector of a nearly-circularly (elliptically) polarized laser pulse as streaking field.…”

“…Depending on the time of ionization electrons are deflected in the angular spatial direction, so that the instant of ionization is mapped to the final angle of the momentum vector in the polarization plane. The very significant non-linearity of tunneling ionization ensures that the ionization rate peaks when the field reaches its maximum [22]. The measured offset angle is used to extract tunneling time, the procedure includes different contribution such as Coulomb correction θ Coul and the streaking angle θ str , for more details see [5].…”

“…The measured offset angle is used to extract tunneling time, the procedure includes different contribution such as Coulomb correction θ Coul and the streaking angle θ str , for more details see [5]. In the experiment of Sainaddh et al [22] for H-atom, a short (few-cycle, 6 femtosecond duration) strong laser laser pulse is used, with a wave length λ=770 nm and ellipticity of 0.84±0.01. The intensity of the laser pulses was varied from 1.65·10 4 W cm −2 to 3.9 ·10 4 W cm −2 or peak field strengths ≈0.052−0.08 au.…”

Adiabatic transfer of energy fluctuations between membranes inside an optical cavity

“…This leads to potential applications of such systems into quantum communication and quantum information processing [13][14][15]. For example, a mechanical oscillator can mediate high fidelity state transfer between two optical cavities [16]. These oscillators have been used to store optical information as a mechanical excitation [17], as well.…”