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Re-assessment of the state of Schroedinger's cat

Art Hobson

Published Jun 21, 2012• 0 citations
OpenAlex

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The quantum state of Schroedinger's cat is usually incorrectly described as a superposition of "dead" and "alive," despite an argument by Rinner and Werner that, locally, the cat should be considered to be in a mixture of non-superposed states. Here, it is rigorously proven that the cat is not in a superposition. This is central to the measurement problem. Nonlocal two-photon interferometry experiments throw further light on the measurement state by probing the effect of a variable phase factor inserted between its superposed terms. These experiments demonstrate that both subsystems really are in locally mixed states rather than superpositions, and they tell us what the measurement state superposition actually superposes. They show that measurement transfers the coherence in Schroedinger's nuclear superposition neither to the cat nor to the nucleus, but only to the correlations between them. This explains the collapse process--but not its subsequent irreversible dissipation--within the context of unitary dynamics with no need for external entities such as the environment, a human mind, other worlds, or collapse mechanisms.

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The quantum state of Schroedinger's cat is usually incorrectly described as a superposition of "dead" and "alive," despite an argument by Rinner and Werner that, locally, the cat should be considered to be in a mixture of non-superposed states. Here, it is rigorously proven that the cat is not in a superposition. This is central to the measurement problem. Nonlocal two-photon interferometry experiments throw further light on the measurement state by probing the effect of a variable phase factor inserted between its superposed terms. These experiments demonstrate that both subsystems really are in locally mixed states rather than superpositions, and they tell us what the measurement state superposition actually superposes. They show that measurement transfers the coherence in Schroedinger's nuclear superposition neither to the cat nor to the nucleus, but only to the correlations between them. This explains the collapse process--but not its subsequent irreversible dissipation--within the context of unitary dynamics with no need for external entities such as the environment, a human mind, other worlds, or collapse mechanisms.
The multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The distribution function is expressed in terms of the multivariable Hermite polynomials, its means and dispersions are calculated. The conditions for the existence of squeezing are formulated. The correlations among the different modes of Schroedinger cat states are studied.