- Featured in Physics
- Open Access
Interferometric Amplification and Suppression of External Beam Shifts
Phys. Rev. Lett. 135, 253802 – Published 17 December, 2025
DOI: https://doi.org/10.1103/fggq-yhz8
Abstract
Interferometers are known for precise measurements of the effects inside of them. Here we show that placing a Dove prism in one of the interferometer arms allows for also detecting minute effects happening outside the device. We derive how the additional reflection in one arm can amplify small tilts or displacements of the input beam in the dark output port of the interferometer, in analogy to weak value amplification. The experiment demonstrates a clear improvement of the measurement signal. Moreover, in the bright output port, small disturbances in the input beam get largely filtered, thereby enabling beam stabilization with a fully passive device.
Physics Subject Headings (PhySH)
synopsis
How to Measure a Tiny Beam Shift
A quantum trick based on interferometric measurements allows the ultrasensitive detection of the motion of a laser beam.
See more in Physics
Article Text
Supplemental Material
References (43)
- B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics, 1st ed. (Wiley, New York, 1991), 10.1002/0471213748.
- C. A. Putman, B. G. De Grooth, N. F. Van Hulst, and J. Greve, A theoretical comparison between interferometric and optical beam deflection technique for the measurement of cantilever displacement in AFM, Ultramicroscopy 42–44, 1509 (1992).
- V. Delaubert, N. Treps, M. Lassen, C. C. Harb, C. Fabre, P. K. Lam, and H.-A. Bachor, homodyne detection as an optimal small-displacement and tilt-measurement scheme, Phys. Rev. A 74, 053823 (2006).
- R. C. Pooser and B. Lawrie, Ultrasensitive measurement of microcantilever displacement below the shot-noise limit, Optica 2, 393 (2015).
- Y. Aharonov, D. Z. Albert, and L. Vaidman, How the result of a measurement of a component of the spin of a spin- particle can turn out to be 100, Phys. Rev. Lett. 60, 1351 (1988).
- J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Colloquium: Understanding quantum weak values: Basics and applications, Rev. Mod. Phys. 86, 307 (2014).
- A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Technical advantages for weak-value amplification: When less is more, Phys. Rev. X 4, 011031 (2014).
- J. P. Torres and L. J. Salazar-Serrano, Weak value amplification: A view from quantum estimation theory that highlights what it is and what isn’t, Sci. Rep. 6, 19702 (2016).
- Y. Mori, J. Lee, and I. Tsutsui, On the validity of weak measurement applied for precision measurement, J. Phys. B 53, 015501 (2019).
- D. R. M. Arvidsson-Shukur, N. Yunger Halpern, H. V. Lepage, A. A. Lasek, C. H. W. Barnes, and S. Lloyd, Quantum advantage in postselected metrology, Nat. Commun. 11, 3775 (2020).
- O. Hosten and P. Kwiat, Observation of the spin Hall effect of light via weak measurements, Science 319, 787 (2008).
- P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Ultrasensitive beam deflection measurement via interferometric weak value amplification, Phys. Rev. Lett. 102, 173601 (2009).
- D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Optimizing the signal-to-noise ratio of a beam-deflection measurement with interferometric weak values, Phys. Rev. A 80, 041803(R) (2009).
- O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Amplification of angular rotations using weak measurements, Phys. Rev. Lett. 112, 200401 (2014).
- G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Experimentally quantifying the advantages of weak-value-based metrology, Phys. Rev. A 92, 032127 (2015).
- J. Dziewior, L. Knips, D. Farfurnik, K. Senkalla, N. Benshalom, J. Efroni, J. Meinecke, S. Bar-Ad, H. Weinfurter, and L. Vaidman, Universality of local weak interactions and its application for interferometric alignment, Proc. Natl. Acad. Sci. U.S.A. 116, 2881 (2019).
- S. P. Walborn, G. H. Aguilar, P. L. Saldanha, L. Davidovich, and R. L. d. M. Filho, Interferometric sensing of the tilt angle of a Gaussian beam, Phys. Rev. Res. 2, 033191 (2020).
- L. Xu, Z. Liu, A. Datta, G. C. Knee, J. S. Lundeen, Y.-Q. Lu, and L. Zhang, Approaching quantum-limited metrology with imperfect detectors by using weak-value amplification, Phys. Rev. Lett. 125, 080501 (2020).
- H. W. Dove, Das Reversionsprisma und seine Anwendung als terrestrisches Ocular und zum Messen von Winkeln, Ann. Phys. (N.Y.) 159, 189 (1851).
- J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Measuring the orbital angular momentum of a single photon, Phys. Rev. Lett. 88, 257901 (2002).
- C. C. Leary, L. A. Baumgardner, and M. G. Raymer, Stable mode sorting by two-dimensional parity of photonic transverse spatial states, Opt. Express 17, 2435 (2009).
- S. Slussarenko, V. D’Ambrosio, B. Piccirillo, L. Marrucci, and E. Santamato, The polarizing Sagnac interferometer: A tool for light orbital angular momentum sorting and spin-orbit photon processing, Opt. Express 18, 27205 (2010).
- D. Fu, Y. Zhou, R. Qi, S. Oliver, Y. Wang, S. M. H. Rafsanjani, J. Zhao, M. Mirhosseini, Z. Shi, P. Zhang, and R. W. Boyd, Realization of a scalable Laguerre–Gaussian mode sorter based on a robust radial mode sorter, Opt. Express 26, 33057 (2018).
- L. Vaidman, Past of a quantum particle, Phys. Rev. A 87, 052104 (2013).
- A. Danan, D. Farfurnik, S. Bar-Ad, and L. Vaidman, Asking photons where they have been, Phys. Rev. Lett. 111, 240402 (2013).
- B.-G. Englert, K. Horia, J. Dai, Y. L. Len, and H. K. Ng, Past of a quantum particle revisited, Phys. Rev. A 96, 022126 (2017).
- U. Peleg and L. Vaidman, Comment on “Past of a quantum particle revisited”, Phys. Rev. A 99, 026103 (2019).
- J. R. Hance, J. Rarity, and J. Ladyman, Weak values and the past of a quantum particle, Phys. Rev. Res. 5, 023048 (2023).
- M. A. Alonso and A. N. Jordan, Can a Dove prism change the past of a single photon?, Quantum Stud. Math. Found. 2, 255 (2015).
- L. Vaidman and I. Tsutsui, When photons are lying about where they have been, Entropy 20, 538 (2018).
- G. Reznik, C. Versmold, J. Dziewior, F. Huber, S. Bagchi, H. Weinfurter, J. Dressel, and L. Vaidman, Photons are lying about where they have been, again, Phys. Lett. A 470, 128782 (2023).
- Q. Yuan and X. Feng, Photons can tell “contradictory” answer about where they have been, Eur. Phys. J. Plus 138, 70 (2023).
- G. Reznik, C. Versmold, J. Dziewior, F. Huber, H. Weinfurter, J. Dressel, and L. Vaidman, Comment on “Photons can tell ‘contradictory’ answer about where they have been”, Eur. Phys. J. Plus 139, 1 (2024).
- L. Vaidman, Lying particles, Front. Quantum Sci. Technol. 3, 1362235 (2024).
- J. Harris, R. W. Boyd, and J. S. Lundeen, Weak value amplification can outperform conventional measurement in the presence of detector saturation, Phys. Rev. Lett. 118, 070802 (2017).
- L. Vaidman, Weak value controversy, Phil. Trans. R. Soc. A 375, 20160395 (2017).
The value of the normalization does not remain the same from equation to equation.
Note that, instead of using a Dove prism, the same inversion effect could be achieved by adding an odd number of reflections in one arm, for example, using a K-prism or a cat-eye reflector [39].
- M. Dobosz, Interference sensor for ultra-precision measurement of laser beam angular deflection, Rev. Sci. Instrum. 89, 115003 (2018).
For example, for pure pre- and postselection states and , the weak value of an operator is given by .
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/fggq-yhz8 for three sets of audio files.
- L. Vaidman, A. Ben-Israel, J. Dziewior, L. Knips, M. Weißl, J. Meinecke, C. Schwemmer, R. Ber, and H. Weinfurter, Weak value beyond conditional expectation value of the pointer readings, Phys. Rev. A 96, 032114 (2017).
- C. Versmold, J. Dziewior, F. Huber, E. Köster, G. Reznik, L. Vaidman, and H. Weinfurter, Data for “Interferometric amplification and suppression of external beam shifts”, 10.5281/zenodo.17193220 (2025).