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4
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0003780790
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Springer-Verlag, Berlin
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D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
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Giulini, D.1
Joos, E.2
Kiefer, C.3
Kupsch, J.4
Stamatescu, I.-O.5
Zeh, H.D.6
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6
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85032427013
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note
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In 1D, with hard cores, No. 1 can bounce only between neighbors, so correlations can survive. In 3D or ID with possible transmission, this is not a problem. In using Eqs. (3) and (8), it would be more realistic to have collections of unequal-mass particles, each with a range of spreads, and to randomly pair them for scattering. I have done this numerically. Under the iterations (3) and (8), one gets the same result as for repeated iteration of a single pair.
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7
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85032426441
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note
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Convergence of spread to the nonentangling values holds even if one takes the new spread from diag(ρ) in momentum space.
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9
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12044260119
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W. H. Zurek, Phys. Today 44, No. 10, 36 (1991).
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Zurek, W.H.1
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10
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0003974060
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edited by M. Gutzwiller, A. Inomata, J. R. Klauder, and L. Streit (World Scientific, Singapore)
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L. S. Schulman, in Path Integrals from meV to MeV, edited by M. Gutzwiller, A. Inomata, J. R. Klauder, and L. Streit (World Scientific, Singapore, 1986).
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Path Integrals from meV to MeV
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Schulman, L.S.1
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11
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85032427729
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note
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When Eq. (8) is iterated for fixed R, convergence fails along one axis.
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12
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85032426280
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note
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2. The fact that this gives nonentanglement if used in the successive scattering iteration is not surprising, since the fixed point involves the vanishing of the entangled portion, and the only question is convergence.
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13
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85032426449
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Ph.D. thesis, Harvard University, Cambridge, Massachusetts, quoted in [14]
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E. Feenberg, Ph.D. thesis, Harvard University, Cambridge, Massachusetts, 1933, quoted in [14], p. 71.
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Feenberg, E.1
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20
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0001230916
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Leibfried, D.1
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King, B.E.3
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Itano, W.M.5
Wineland, D.J.6
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C. Miquel, J. P. Paz, M. Saraceno, E. Knill, R. Laflamme, and C. Negrevergne, Nature (London) 418, 59 (2002).
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Miquel, C.1
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0000046080
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85032429092
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note
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To show the absence of interference with small transverse spread, the packet's transverse momentum must also be sufficiently constrained for the packet to land on one slit but have near-zero amplitude on the other. Note also that having the transverse spread sufficiently large is a necessary condition for interference, not sufficient.
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31
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85032427192
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note
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1. When time scales are comparable, this process can still take place, but a demonstration would require consideration of both kinds of evolution at the same time.
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32
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85032426732
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note
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For large mass ratios many scatterings are required.
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