Results and problems in decoherence theory

Omnès, Roland

doi:10.1590/s0103-97332005000200002

Cited by 14 publications

(18 citation statements)

References 20 publications

(28 reference statements)

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“…But, from eqs. (2) or (3) we cannot say that lim t→∞ ρ(t) = ρ * or lim t→∞ ρ R (t) = ρ R * . Then, the mathematicians say that the unitarily evolving quantum state ρ(t) of the whole system only has a weak limit, symbolized as:…”

Section: A the General Theoretical Framework For Decoherencementioning

confidence: 98%

New Bases for a General Definition for the Moving Preferred Basis

Castagnino

Fortín

2011

Mod. Phys. Lett. A

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One of the challenges of the Environment-Induced Decoherence (EID) approach is to provide a simple general definition of the moving pointer basis or moving preferred basis. In this letter we prove that the study of the poles that produce the decaying modes in non-unitary evolution, could yield a general definition of the relaxation, the decoherence times, and the moving preferred basis. These probably are the most important concepts in the theory of decoherence, one of the most relevant chapters of theoretical (and also practical) quantum mechanics. As an example we solved the Omnès (or Lee-Friedrich) model using our theory.

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Section: A the General Theoretical Framework For Decoherencementioning

confidence: 98%

New Bases for a General Definition for the Moving Preferred Basis

Castagnino

Fortín

2011

Mod. Phys. Lett. A

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“…From this perspective, the states that are indistinguishable from the viewpoint of certain "gross" observables are described by the same coarse-grained state, whose evolution can be proved to reach equilibrium in a certain relaxation time. The main problem of this period was that the relaxation times so obtained turned out to be too long to account for the experimental emergence of classical behavior (see Omnès 2005).…”

Section: 1-coarse-grainingmentioning

confidence: 99%

The Correspondence Principle and the Understanding of Decoherence

Fortín

Lombardi

2019

Found Phys

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Although Bohr's Correspondence Principle (CP) played a central role in the first versions of quantum mechanics, its original version seems to have no present-day relevance. The purpose of the present article is to show that the CP, with no need of being interpreted in terms of the quantum-to-classical limit, still plays a relevant role in the understanding of the relationships between the classical and the quantum domains. In particular, it will be argued that a generic version of the CP is very helpful for elucidating the physical meaning of the phenomenon of quantum decoherence.

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“…On this basis, the states indistinguishable from the viewpoint of certain "gross" observables were described by the same coarse-grained state, whose evolution was proved to reach equilibrium in a certain relaxation time. The main problem of this period was that the relaxation times so obtained turned out to be too long to account for experimental results (see [13]). …”

Section: The Historical Development Of the Decoherence Programmentioning

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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Results and problems in decoherence theory

Abstract: The main steps in the development of the ideas on decoherence are briefly reviewed, together with their present achievements. Unsolved problems are also pointed out. I. EARLY LANDMARKS

Cited by 14 publications

References 20 publications

New Bases for a General Definition for the Moving Preferred Basis

New Bases for a General Definition for the Moving Preferred Basis

The Correspondence Principle and the Understanding of Decoherence

Decoherence: A Closed-System Approach

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