Modal interpretations, decoherence and measurements

Bacciagaluppi, Guido; Hemmo, Meir

doi:10.1016/s1355-2198(96)00002-0

Cited by 57 publications

(34 citation statements)

References 40 publications

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“…In other words, after the decoherence time the off-diagonal elements of ρ ( ) M t are small independently of the original disturbance (for a full argument, see Bacciagaluppi and Hemmo 1996; for difficulties in continuous models, see Bacciagaluppi 2000).…”

Section: Modal Interpretations and Decoherencementioning

confidence: 99%

Compatibility between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics

Lombardi¹,

Ardenghi²,

Fortín³

et al. 2011

Philos. of Sci.

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Given the impressive success of environment-induced decoherence (EID), nowadays no interpretation of quantum mechanics can ignore its results. The modal-Hamiltonian interpretation (MHI) has proved to be effective for solving several interpretative problems but, since its actualization rule applies to closed systems, it seems to stand at odds of EID. The purpose of this paper is to show that this is not the case: the states einselected by the interaction with the environment according to EID (the elements of the "pointer basis") are the eigenvectors of an actualvalued observable belonging to the preferred context selected by the MHI.

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Section: Modal Interpretations and Decoherencementioning

confidence: 99%

Compatibility between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics

Lombardi¹,

Ardenghi²,

Fortín³

et al. 2011

Philos. of Sci.

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“…For this reason Kiefer and Polarski claim "Then the quantum system is effectively equivalent to the classical random system, which is an ensemble of classical trajectories with a certain probability associated to each of them" ( [71] pp. 4) A concrete example in which f k2 and g k1 tend to zero, is the perturbation on de Sitter space [72]. When the decaying mode becomes vanishingly small; when this mode is neglected we are in the limit of a random stochastic process.…”

Section: Decoherence Without Decoherencementioning

confidence: 99%

“…It has been fruitfully applied in many areas of physics and supplies the basis of new technological developments. In the foundations of physics community, EID has been viewed as a relevant element for the interpretation of quantum mechanics ( [3], [4]) and for the explanation of the emergence of classicality from the quantum world ( [5], [6], [7], [8]). …”

Section: Introductionmentioning

confidence: 99%

Decoherence: A Closed-System Approach

2013

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The aim of this paper is to review a new perspective about decoherence, according to which formalisms originally devised to deal just with closed or open systems can be subsumed under a closed-system approach that generalizes the traditional account of the phenomenon. This new viewpoint dissolves certain conceptual difficulties of the orthodox open-system approach but, at the same time, shows that the openness of the quantum system is not the essential ingredient for decoherence, as commonly claimed. Moreover, when the behavior of a decoherent system is described from a closed-system perspective, the account of decoherence turns out to be more general than that supplied by the open-system approach, and the quantum-to-classical transition defines unequivocally the realm of classicality by identifying the observables with classical-like behavior.

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“…And, unlike orthodox quantum theory, no miraculous collapse is needed to solve the measurement problem. Instead, after a typical unitary 'measurement' interaction between two parts of the universe -O the 'measured' system, and A the apparatus -decoherence induced by A's coupling to the environment O ∪ A will force the density operator D A of the apparatus to diagonalize in a basis extremely close to one which diagonalizes the pointer observable of A [14]. Thus, after the measurement, the definite-valued observables in M A will be such that the pointer points!…”

Section: The Modal Interpretation Of Nonrelativistic Quantum Theorymentioning

confidence: 99%

The modal interpretation of algebraic quantum field theory

Clifton¹

2000

Physics Letters A

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In a recent Letter, Dieks [1] has proposed a way to implement the modal interpretation of quantum theory in algebraic quantum field theory. We show that his proposal fails to yield a well-defined prescription for which observables in a local spacetime region possess definite values. On the other hand, we demonstrate that there is a well-defined and unique way of extending the modal interpretation to the local algebras of quantum field theory. This extension, however, faces a potentially serious difficulty in connection with ergodic states of a field.

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Modal interpretations, decoherence and measurements

Cited by 57 publications

References 40 publications

Compatibility between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics

Compatibility between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics

Decoherence: A Closed-System Approach

The modal interpretation of algebraic quantum field theory

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