A simple necessary decoherence condition for a set of histories

Artur Scherer; Andrei N. Soklakov; Rüdiger Schack

doi:10.1016/j.physleta.2004.04.050

A simple necessary decoherence condition for a set of histories

Artur Scherer, Andrei N. Soklakov^*, Rüdiger Schack

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial states if and only if the unitary evolution preserves classicality of states (using a natural formal definition of classicality). We give a counterexample showing that this equivalence does not hold for coarse-grained histories.

Original language	English
Pages (from-to)	307-314
Number of pages	8
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	326
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2004.04.050
Publication status	Published - 14 Jun 2004
Externally published	Yes

Keywords

03.65.Ca
03.65.Yz
Decoherent histories

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10.1016/j.physleta.2004.04.050

Cite this

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title = "A simple necessary decoherence condition for a set of histories",

abstract = "Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial states if and only if the unitary evolution preserves classicality of states (using a natural formal definition of classicality). We give a counterexample showing that this equivalence does not hold for coarse-grained histories.",

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AU - Scherer, Artur

AU - Soklakov, Andrei N.

AU - Schack, Rüdiger

PY - 2004/6/14

Y1 - 2004/6/14

N2 - Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial states if and only if the unitary evolution preserves classicality of states (using a natural formal definition of classicality). We give a counterexample showing that this equivalence does not hold for coarse-grained histories.

AB - Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial states if and only if the unitary evolution preserves classicality of states (using a natural formal definition of classicality). We give a counterexample showing that this equivalence does not hold for coarse-grained histories.

KW - 03.65.Ca

KW - 03.65.Yz

KW - Decoherent histories

UR - https://www.scopus.com/pages/publications/2942562611

U2 - 10.1016/j.physleta.2004.04.050

DO - 10.1016/j.physleta.2004.04.050

M3 - Article

AN - SCOPUS:2942562611

SN - 0375-9601

VL - 326

SP - 307

EP - 314

JO - Physics Letters. Section A: General, Atomic and Solid State Physics

JF - Physics Letters. Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

A simple necessary decoherence condition for a set of histories

Abstract

Keywords

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