We show that a quantum particle subjected to a positive force in one path of a Mach-Zehnder interferometer and a null force in the other path may receive a negative average momentum transfer when it leaves the interferometer by a particular exit. In this scenario, an ensemble of particles may receive an average momentum in the opposite direction of the applied force due to quantum interference, a behavior with no classical analogue. We discuss some experimental schemes that could verify the effect with current technology, with electrons or neutrons in Mach-Zehnder interferometers in free space and with atoms from a Bose-Einstein condensate.
 R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Vol. III (Basic Books, New York, 2010).
 R. Bach, D. Pope, S.-H. Liou, and H. Batelaan, New J. Phys. 15, 033018 (2013).
 J. A. Wheeler, Mathematical foundations of quantum theory, edited by A. R. Marlow (Academic Press, 1978) Chap. The `past' and the `delayed-choice double-slit experiment', p. 9 to 48.
 F. Vedovato, C. Agnesi, M. Schiavon, D. Dequal, L. Calderaro, M. Tomasin, D. G. Marangon, A. Stanco, V. Luceri, G. Bianco, G. Vallone, and P. Villoresi, Sci. Adv. 3, 1701180 (2017).
 R. Ionicioiu and D. R. Terno, Phys. Rev. Lett. 107, 230406 (2011).
 Y. Aharonov, A. Botero, S. Nussinov, S. Popescu, J. Tollaksen, and L. Vaidman, New J. Phys. 15, 093006 (2013).
 R. P. Feynman and A. R. Hibbs, Quantum mechanics and path integrals, Emended ed. (Dover, New York, 2010).
 C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics, 2nd ed. (Hermann by John Wiley & Sons, Paris, 1977).
 H. Rauch and S. Wener, Neutron interferometry, 2nd ed. (Oxford University Press, Oxford, 2015).
 Y. Hasegawa and H. Rauch, New J. Phys. 13, 115010 (2011).
 T. Denkmayr, H. Geppert, H. Lemmel, M. Waegell, J. Dressel, Y. Hasegawa, and S. Sponar, Phys. Rev. Lett. 118, 010402 (2017).
 Marina F. B. Cenni, Raul Corrêa, and Pablo L. Saldanha, "Effective electrostatic attraction between electrons due to quantum interference", Physical Review A 100 2, 022101 (2019).
 Raul Corrêa and Pablo L. Saldanha, "Apparent quantum paradoxes as simple interference: Quantum violation of the pigeonhole principle and exchange of properties between quantum particles", Physical Review A 104 1, 012212 (2021).
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