Abstract
When a single beam-splitter receives two beams of bosons described by Fock states (Bose-Einstein condensates at very low temperatures), interesting generalizations of the two-photon Hong-Ou-Mandel effect take place for larger number of particles. The distributions of particles at two detectors behind the beam splitter can be understood as resulting from the combination of two effects, the spontaneous phase appearing during quantum measurement, and the quantum angle. The latter introduces quantum “population oscillations”, which can be seen as a generalized Hong-Ou-Mandel effect, although they do not always correspond to even-odd oscillations.
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References
Rauch, H.: Neutron interferometry. Science 262, 1384 (1993)
Rauch, H., Werner, S.: Neutron Interferometry: Lessons in Experimental Quantum Mechanics. Clarendon, Oxford (2000)
Greenberger, D.M., Horne, M.A., Zeilinger, A.: In: Kafatos, M. (ed.) Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, pp. 69–72. Kluwer Academic, Dordrecht (1989)
Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Bell’s theorem without inequalities. Am. J. Phys. 58, 1131–1143 (1990)
Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement. Nature 403, 515–519 (2000)
Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Experimental entanglement swapping: entangling photons that never interacted. Phys. Rev. Lett. 80, 3891–3894 (1998)
Prasad, S., Scully, M.O., Martienssen, W.: A quantum description of the beam splitter. Opt. Commun. 63, 139–145 (1987)
Huttner, B., Ben-Aryeh, Y.: Influence of a beam splitter on photon statistics. Phys. Rev. A 38, 204–211 (1988)
Luis, A., Sanchez-Soto, L.L.: A quantum description of the beam splitter. Quantum Semiclass. Opt. 7, 153–160 (1995)
Mullin, W.J., Laloë, F.: Interference of Bose-Einstein condensates: quantum non-local effects. Phys. Rev. A 78, 061605 (2008)
Laloë, F., Mullin, W.J.: Interferometry with independent Bose-Einstein condensates: parity as an EPR/Bell variable. Eur. Phys. J. 70, 377–396 (2009)
Holland, M.J., Burnett, K.: Interferometric detection of optical phase shifts at the Heisenberg limit. Phys. Rev. Lett. 71, 1355–1358 (1993)
Cosme, O., Padua, S., Bovino, F., Mazzei, A., Sciarrino, F., De Martini, F.: Hong-Ou-Mandel interferometer with one and two photon pairs. Phys. Rev. A 77, 053822 (2008)
Martin, P.J., Oldaker, B.G., Miklich, A.H., Pritchard, D.E.: Bragg scattering of atoms from a standing light wave. Phys. Rev. Lett. 60, 515–518 (1988)
Chu, A.P., Johnson, K.S., Prentiss, M.G.: Atomic beam splitters with achromatic transverse-momentum transfer. J. Opt. Soc. Am. B 13, 1352–1361 (1996)
Garcia, O., Deissler, B., Hughes, K.J., Reeves, J.M., Sackett, C.A.: Bose-Einstein-condensate interferometer with macroscopic separation. Phys. Rev. A 74, 0311601(R) (2006)
Hong, C.K., Ou, Z.Y., Mandel, L.: Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044 (1987)
Dunningham, J.A., Burnett, K., Roth, R., Phillips, W.D.: Creation of macroscopic superposition states from arrays of Bose-Einstein condensates. New J. Phys. 8, 182 (2006)
Mullin, W.J., Laloë, F.: Beyond spontaneously broken symmetry in Bose-Einstein condensates. Phys. Rev. Lett. 104, 150401 (2010)
Cable, H., Knight, P.L., Rudolph, T.: Measurement-induced localization of relative degrees of freedom. Phys. Rev. A 71, 042107 (2005)
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Laloë, F., Mullin, W.J. Quantum Properties of a Single Beam Splitter. Found Phys 42, 53–67 (2012). https://doi.org/10.1007/s10701-010-9501-8
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DOI: https://doi.org/10.1007/s10701-010-9501-8