×

Neutron matter wave quantum optics. (English) Zbl 1259.81012

Summary: Neutron matter-wave optics provides the basis for new quantum experiments and a step towards applications of quantum phenomena. Most experiments have been performed with a perfect crystal neutron interferometer where widely separated coherent beams can be manipulated individually. Various geometric phases have been measured and their robustness against fluctuation effects has been proven, which may become a useful property for advanced quantum communication. Quantum contextuality for single particle systems shows that quantum correlations are to some extent more demanding than classical ones. In this case entanglement between external and internal degrees of freedom offers new insights into basic laws of quantum physics. Non-contextuality hidden variable theories can be rejected by arguments based on the Kochen-Specker theorem.

MSC:

81P13 Contextuality in quantum theory
81V80 Quantum optics
81V35 Nuclear physics
78A15 Electron optics
81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
81P40 Quantum coherence, entanglement, quantum correlations

References:

[1] Blatt, J.M., Weisskopf, V.F.: Theoretical Nuclear Physics. Wiley, New York (1932) · Zbl 0049.14005
[2] Glauber, R.J.: Phys. Rev. 130, 2766 (1963) · Zbl 1371.81166 · doi:10.1103/PhysRev.131.2766
[3] Sears, V.F.: Can. J. Phys. 56, 1261 (1978) · doi:10.1139/p78-167
[4] Feynman, R.P.: Rev. Mod. Phys. 20, 367 (1948) · Zbl 1371.81126 · doi:10.1103/RevModPhys.20.367
[5] Rauch, H., Werner, S.A.: Neutron Interferometry. Clarendon, Oxford (2000)
[6] Staudenmann, J.L., Werner, S.A., Colella, R., Overhauser, A.W.: Phys. Rev. A 21, 1419 (1980) · doi:10.1103/PhysRevA.21.1419
[7] Rauch, H., Treimer, W., Bonse, U.: Phys. Lett. A 47, 369 (1974) · doi:10.1016/0375-9601(74)90132-7
[8] Rauch, H., Petrascheck, D.: In: Dachs, H. (ed.) Neutron Diffraction. Top. Curr. Phys., vol. 6, p. 303. Springer, Heidelberg (1978)
[9] Afshar, S.S., Flores, E., McDonalds, K.F., Kroesel, E.: Found. Phys. 37, 295 (2007) · Zbl 1117.81305 · doi:10.1007/s10701-006-9102-8
[10] Aharonov, Y., Susskind, L.: Phys. Rev. 158, 1237 (1967) · doi:10.1103/PhysRev.158.1237
[11] Bernstein, H.J.: Phys. Rev. Lett. 18, 1102 (1967) · doi:10.1103/PhysRevLett.18.1102
[12] Rauch, H., Zeilinger, A., Badurek, G., Wilfing, A., Bauspiess, W., Bonse, U.: Phys. Lett. A 54, 425 (1975) · doi:10.1016/0375-9601(75)90798-7
[13] Werner, S.A., Colella, R., Overhauser, A.W., Eagen, C.F.: Phys. Rev. Lett. 35, 1053 (1975) · doi:10.1103/PhysRevLett.35.1053
[14] Wigner, E.P.: Am. J. Phys. 31, 6 (1963) · Zbl 0173.29603 · doi:10.1119/1.1969254
[15] Summhammer, J., Badurek, G., Rauch, H., Kischko, U.: Phys. Rev. A 27, 2532 (1983)
[16] Mezei, F.: Z. Phys. 255, 146 (1972) · doi:10.1007/BF01394523
[17] Rabi, I.I.: Phys. Rev. 51, 652 (1937) · Zbl 0017.23501 · doi:10.1103/PhysRev.51.652
[18] Drabkin, G.M., Zhitnikov, R.A.: Sov. Phys. JETP 11, 729 (1960)
[19] Alefeld, B., Badurek, G., Rauch, H.: Z. Phys. B, Condens. Matter Quanta 41, 231 (1981) · doi:10.1007/BF01294428
[20] Badurek, G., Rauch, H., Summhammer, J.: Phys. Rev. Lett. 51, 1015 (1983) · doi:10.1103/PhysRevLett.51.1015
[21] Feynman, R.P., Leighton, R.B., Sands, K.: The Feynman Lectures on Physics, vol. III. Addison-Wesley, Reading (1965) · Zbl 0131.38703
[22] Carruthers, P., Nieto, M.N.: Phys. Rev. Lett. 53, 411 (1968)
[23] Namiki, M., Pascazio, S., Nakazato, H.: Decoherence and Quantum Measurement. World Scientific, Singapore (1987) · Zbl 1044.81500
[24] Scully, M.O., Schwinger, J., Walther, H.: Nature 351, 111 (1991) · doi:10.1038/351111a0
[25] Badurek, G., Rauch, H., Tuppinger, D.: Phys. Rev. A 34, 2600 (1986) · doi:10.1103/PhysRevA.34.2600
[26] Yamazaki, D., Ebisawa, T., Kawai, T., Tasaki, S., Hino, M., Akayoshi, T., Achiwa, H.: Physica B 141–143, 186 (1998)
[27] Josephson, B.D.: Rev. Mod. Phys. 46, 251 (1974) · doi:10.1103/RevModPhys.46.251
[28] Summhammer, J., Hamacher, K.A., Kaiser, H., Weinfurter, H., Jacobson, D.L., Werner, S.A.: Phys. Rev. Lett. 75, 3206 (1995) · doi:10.1103/PhysRevLett.75.3206
[29] Berry, M.V.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. A392, 45 (1984) · Zbl 1113.81306 · doi:10.1098/rspa.1984.0023
[30] Wagh, A.G., Rakhecha, V.C., Summhammer, J., Badurek, G., Weinfurter, H., Allman, B.E., Kaiser, H., Hamacher, K., Jacobson, D.L., Werner, S.A.: Phys. Rev. Lett. 78, 755 (1997) · doi:10.1103/PhysRevLett.78.755
[31] Aharonov, Y., Anandan, J.S.: Phys. Rev. Lett. 58, 1593 (1987) · doi:10.1103/PhysRevLett.58.1593
[32] Tomita, A., Chiao, R.Y.: Phys. Rev. Lett. 57, 937 (1986) · doi:10.1103/PhysRevLett.57.937
[33] Samuel, J., Bhandari, R.: Phys. Rev. Lett. 60, 2339 (1988) · doi:10.1103/PhysRevLett.60.2339
[34] Pancharatnam, S.: Proc. Indian Acad. Sci., Sect. A, Phys. Sci. 44, 247 (1956)
[35] Bhandari, R.: Phys. Rep. 281, 1 (1997) · doi:10.1016/S0370-1573(96)00029-4
[36] Filipp, S., Hasegawa, Y., Loidl, R., Rauch, H.: Phys. Rev. A 72, 021602 (2005)
[37] Shapere, A., Wilczek, F.: Geometric Phases in Physics. World Scientific, Singapore (1989) · Zbl 0914.00014
[38] De Chiara, G., Palma, G.M.: Phys. Rev. Lett. 91, 090404 (2003)
[39] Filipp, S., Klepp, J., Hasegawa, Y., Plonka-Spekr, Ch., Schmidt, U., Geltenbort, P., Rauch, H.: Phys. Rev. Lett. 102, 030404 (2009)
[40] Einstein, A., Podolski, B., Rosen, N.: Phys. Rev. 47, 777 (1935) · Zbl 0012.04201 · doi:10.1103/PhysRev.47.777
[41] Bell, J.S.: Physics 1, 195 (1964)
[42] Clauser, J.F., Shimony, A.: Rep. Prog. Phys. 41, 1978 (1881)
[43] Bertlmann, R.A., Zeilinger, A. (eds.): Quantum [Un]speakables. Springer, Berlin (2002)
[44] Kochen, S., Specker, F.P.: J. Math. Mech. 17, 59 (1967)
[45] Mermin, D.: Phys. Rev. Lett. 65, 1838 (1990) · Zbl 0971.81507 · doi:10.1103/PhysRevLett.65.1838
[46] Roy, S.M., Singh, V.: Phys. Rev. A48, 3379 (1993) · doi:10.1103/PhysRevA.48.3379
[47] Hasegawa, Y., Loidl, R., Badurek, G., Baron, M., Rauch, H.: Nature 425, 45 (2003) · doi:10.1038/nature01881
[48] Hasegawa, Y., Loidl, R., Badurek, G., Baron, M., Rauch, H.: Phys. Rev. Lett. 97, 23041 (2006)
[49] Hasegawa, Y., Loidl, R., Badurek, G., Filipp, S., Klepp, J., Rauch, H.: Phys. Rev. A 76, 052108 (2007) · Zbl 1255.81004
[50] Simon, C., Zukovski, M., Weinfurter, H., Zeilinger, A.: Phys. Rev. Lett. 85, 1783 (2000) · Zbl 1369.81008 · doi:10.1103/PhysRevLett.85.1783
[51] Huang, Y.-F., Li, C.-F., Zhang, Y.-S., Pan, J.-W., Guo, G.-C.: Phys. Rev. Lett. 90, 250401 (2003)
[52] Cinelli, C., Barbieri, M., Perris, R., Mataloni, P., De Martini, F.: Phys. Rev. Lett. 95, 240405 (2005)
[53] Cabello, A., Filipp, S., Rauch, H., Hasegawa, Y.: Phys. Rev. Lett. 100, 130404 (2008)
[54] Bartosik, H., Klepp, J., Schmitzer, C., Sponar, S., Cabello, A., Rauch, H., Hasegawa, Y.: Phys. Rev. Lett. 103, 040403 (2009)
[55] Alefeld, B., Badurek, G., Rauch, H.: Z. Phys. 41, 231 (1981) · doi:10.1007/BF01294428
[56] Sponar, S., Klepp, J., Loidl, R., Filipp, S., Badurek, G., Hasegawa, Y., Rauch, H.: Phys. Rev. A 78, 061604 (2008)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.