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Weak Value Amplification in Resonance Fluorescence


Affiliations
1 Center for Quantum Dynamics, Griffith University, Brisbane, QLD 4111, Australia
2 Miranda House, University Enclave, New Delhi 110 007, India
3 BITS Pilani (Goa Campus), Zuarinagar, Sancoale, Goa 403 726, India
4 Light and Matter Physics Group, Raman Research Institute, Bengaluru 560 080, India
 

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 well-Known 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.

Keywords

Quantum Mechanics, Resonance Fluorescence, Weak Interaction, Weak Value Amplification.
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  • Aharonov, Y., Albert, D. Z. and Vaidman, L., How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100. Phys. Rev. Lett., 1988, 60(14), 1351–1354.
  • Duck, I. M., Stevenson, P. M. and Sudarshan, E. C. G., The sense in which a ‘weak measurement’ of a spin-1/2 particle’s spin component yields a value 100. Phys. Rev. D, 1989, 40(6), 2112– 2117.
  • Brunner, N. and Simon, C., Measuring small longitudinal phase shifts: weak measurements or standard interferometry? Phys. Rev. Lett., 2010, 105(1), 010405-1 to 010405-4.
  • Feizpour, A., Xing, X. and Steinberg, A. M., Amplifying singlephoton nonlinearity using weak measurements. Phys. Rev. Lett., 2011, 107(13), 133603-1 to 133603-5.
  • Kocsis, S., Braverman, B., Ravets, S., Stevens, M., Mirin, R. P., Shalm, L. K. and Steinberg, A. M., Observing the average trajectories of single photons in a two-slit interferometer. Science, 2011, 332(6034), 1170–1173.
  • Lundeen, J. S., Sutherland, B., Patel, A., Stewart, C. and Bamber, C., Direct measurement of the quantum wavefunction. Nature, 2011, 474(7350), 188–191.
  • Salvail, J. Z., Agnew, M., Johnson, A. S., Bolduc, E., Leach, J. and Boyd, R. W., Full characterization of polarization states of light via direct measurement. Nature Photon., 2013, 7(4), 316– 321.
  • Hosten, O. and Kwiat, P., Observation of the spin Hall effect of light via weak measurements. Science, 2008, 319(5864), 787–790.
  • Dixon, P. B., Starling, D. J., Jordan, A. N. and Howell, J. C., Ultrasensitive beam deflection measurement via interferometric weak value amplification. Phys. Rev. Lett., 2009, 102(17), 173601-1 to 173601-4.
  • Shomroni, I., Bechler, O., Rosenblum, S. and Dayan, B., Demonstration of weak measurement based on atomic spontaneous emission. Phys. Rev. Lett., 2013, 111(2), 023604-1 to 023604-5.
  • Dressel, J., Malik, M., Miatto, F. M., Jordan, A. N. and Boyd, R. Understanding quantum weak values: basics and applications. Rev. Mod. Phys., 2014, 86(1), 307–316.
  • Mollow, B. R., Power spectrum of light scattered by two-level systems. Phys. Rev., 1969, 188(5), 1969–1975.
  • Zurek, W. H., Decoherence and the transition from quantum to classical revisited. arXiv:quant-ph/0306072.

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  • Weak Value Amplification in Resonance Fluorescence

Abstract Views: 258  |  PDF Views: 86

Authors

U. Satya Sainadh
Center for Quantum Dynamics, Griffith University, Brisbane, QLD 4111, Australia
S. N. Sandhya
Miranda House, University Enclave, New Delhi 110 007, India
Radhika Vathsan
BITS Pilani (Goa Campus), Zuarinagar, Sancoale, Goa 403 726, India
Andal Narayanan
Light and Matter Physics Group, Raman Research Institute, Bengaluru 560 080, India

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 well-Known 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.

Keywords


Quantum Mechanics, Resonance Fluorescence, Weak Interaction, Weak Value Amplification.

References





DOI: https://doi.org/10.18520/cs%2Fv109%2Fi11%2F2002-2005