Abstract
Wigner functions are used to describe various dephasing effects in neutron interferometry which are caused by thickness variations and density fluctuations of the phase shifter and by variations of the beam parameters. It will be shown that separated coherent Schrödinger-cat-like states, which exist when large phase shifts are applied, are extremely fragile and sensitive to any kind of imperfections. The related dephasing factor depends quadratically on the spatial separation of the coherent states which permits the definition of an upper limit of feasible coherent packet separation. The results show that dephasing is an unavoidable effect caused by intrinsic fluctuations inherent to any physical system.
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D.L. Jacobson, S.A. Werner, H. Rauch: Phys. Rev. A49, 3196 (1994)
H. Rauch: Phys. Lett. A173, 240 (1993)
H. Rauch:Proc. Found. Problems in Quantum Theory (Academic, New York 1994) (in press)
E.P. Wigner: Phys. Rev.40, 749 (1932)
R.J. Glauber: InQuantum Optics and Electronics, ed. by C. de Witt et al. (Gordon & Breach, New York 1965)
M. Hillery, P.F. O'Connel, M.O. Scully, E.P. Wigner: Phys. Rep.106, 121 (1984)
D.F. Walls, G.J. Milburn:Quantum Optics (Springer, Berlin, Heidelberg 1994)
H. Rauch: Optik93, 137 (1993)
M. Suda: J. Phys. A (in press)
D.F. Walls, G.J. Milburn: Phys. Rev. A31, 2403 (1985)
R. Glauber: InNew Techniques and Ideas in Quantum Measurement Theory, ed. by D. Greenberger (Academic, New York 1986)
W. Schleich, M. Pernigo, Fam Le Kien: Phys. Rev. A44, 2172 (1991)
E. Schrödinger: Naturwissenschaften23, 807, 823, 844 (1935)
J. Audretsch, K. Mainzer (eds.):Wieviele Leben hat Schrödinger's Katze? ( Wissenschaftsverlag, Mannheim 1990)
F. Selleri (ed.):Quantum Paradoxes and Physical Reality (Kluwer, Dordrecht 1990)
W.H. Zurek: Phys. Rev. D24, 1513 (1981); Phys. Rev. D20, 1862 (1982)
S. Machida, M. Namiki: Prog. Theor. Phys.63, 1457, 1833 (1980)
G.C. Ghirardi, A. Rimini, T. Weber: Found. Phys.18, 1 (1988)
M. Namiki, S. Pascazio: Phys. Rev. A44, 39 (1991); Phys. Rep.232, 301 (1993)
W.H. Zurek: Prog. Theor. Phys.89, 281 (1993)
P. Busch, P.J. Lahti, P.Mittelstaedt:The Quantum Theory of Measurement, Lect. Notes Phys., Vol.2 (Springer, Berlin, Heidelberg 1991)
A. Stern, Y. Aharonov, Y. Imry: Phys. Rev. A41, 3436 (1990)
S.M. Tan, D.F. Walls: Phys. Rev. A47, 4663 (1993)
P. Lerner, H. Rauch, M. Suda: Phys. Rev. A (in press)
H. Rauch, W. Treimer, U. Bonse: Phys. Lett. A47, 369 (1974)
A.G. Klein, S.A. Werner: Rep. Prog. Phys.55, 259 (1983)
G. Badurek, H. Rauch, A. Zeilinger (eds.):Matter Wave Interferometry (North-Holland, Amsterdam 1988)
H. Rauch, D. Petrascheck: InNeutron Diffraction, ed. by H. Dachs, Topics Curr. Phys., Vol.6 (Springer, Berlin, Heidelberg 1978) p. 303
D. Petrascheck: Phys. Rev. B35, 6549 (1987)
V.F. Sears:Neutron Optics (Oxford Univ. Press, Oxford 1989)
J..-M. Levy-Leblond:Quantics (North-Holland, Amsterdam 1990)
M. Born, H. Wolf:Principles of Optics (Pergamon, New York 1975)
R. Clothier, H. Kaiser, S.A. Werner, H. Rauch, H. Wölwitsch: Phys. Rev. A44, 5357 (1991)
L. Mandel, E. Wolf: Rev. Mod. Phys.37, 231 (1965)
D.F.V. James, E. Wolf: Phys. Lett. A157, 6 (1991)
X.Y. Zou, T.P. Grayson, L. Mandel: Phys. Rev. Lett.69, 3041 (1983)
G.S. Agarwal, D.F.V. James: J. Mod. Opt.40, 1431 (1993)
J. Janski, A.V. Vinogradov: Phys. Rev. Lett.64, 2771 (1990)
H. Rauch:Proc Int' Conf. Neutron Scattering, Tokyo 1994 (in press)
H. Rauch, M. Suda: Phys. Stat. Sol. (a)25, 495 (1974)
O. Halpern, T. Holstein: Phys. Rev.59, 960 (1941)
M.Th. Rekveldt: Z. Phys.259, 391 (1973)
C. Bennet, G. Brassard, A.K. Ekert: Sci. Am., Oct., 50 (1992)
T. Springer:Quasielastic Neutron Scattering for the Investigation of Diffusive Motions in Solids and Liquids, Springer Tracts Mod. Phys., Vol. 64 (Springer, Berlin, Heidelberg 1972)
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Dedicated to H. Walther on the occasion of his 60th birthday