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3
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85035268853
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Note, that probability of occupying a certain region of the phase space in classical (chaotic, or mixing) Hamiltonian systems also decays quadratically with time due to the time reversal symmetry. Zeno effect is quantum only in the following sense: in quantum mechanics the detection of whether the system is in the initial state, collapses the system to that state. If we take a classical decaying system, perform measurements, and then perform some operations on the system that at least with some probability put it back into the initial state, we would, of course, have a classical version of the Zeno effect. It is worth noticing that classical error correction schemes are based on this idea, see discussion in the context of quantum correction schemes in computing and information processing 4
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Note, that probability of occupying a certain region of the phase space in classical (chaotic, or mixing) Hamiltonian systems also decays quadratically with time due to the time reversal symmetry. Zeno effect is quantum only in the following sense: in quantum mechanics the detection of whether the system is in the initial state, collapses the system to that state. If we take a classical decaying system, perform measurements, and then perform some operations on the system that at least with some probability put it back into the initial state, we would, of course, have a classical version of the Zeno effect. It is worth noticing that classical error correction schemes are based on this idea, see discussion in the context of quantum correction schemes in computing and information processing 4.
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11
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85035251513
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P. Toschek (private communication).
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Toschek, P.1
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14
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0001427069
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for recent references, A.G. White, Phys. Rev. A 58, 605 (1998).
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(1998)
Phys. Rev. A
, vol.58
, pp. 605
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White, A.G.1
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33
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6144257459
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Phys. Rev. Lett.T. Quang, 79, 5238 (1997), and references therein.
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(1997)
Phys. Rev. Lett.
, vol.79
, pp. 5238
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Quang, T.1
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34
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85035284668
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To obtain an accurate value of the dynamical threshold shift (Formula presented) (see below), non-RWA corrections have to be considered 14
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To obtain an accurate value of the dynamical threshold shift (Formula presented) (see below), non-RWA corrections have to be considered 14.
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37
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85035303744
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realistic calculations, this singularity is always regularized; see, for instance, Ref. 15
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In realistic calculations, this singularity is always regularized; see, for instance, Ref. 15.
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0039478304
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Such detection employing quantum jumps to a side level in the context of near threshold decay of unstable states was discussed by J. Grochmalicki and M. Lewenstein, Phys. Rev. A 40, 2517 (1989).
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(1989)
Phys. Rev. A
, vol.40
, pp. 2517
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Grochmalicki, J.1
Lewenstein, M.2
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