Special Issue: Perspectives in Quantum Field Theory, Statistical Mechanics and Stochastics — Festschrift Dedicated to Prof. Francesco Guerra on the Occasion of His 60th BirthdayNo Access

THE JOOS-ZEH FORMULA AND THE ENVIRONMENT–INDUCED DECOHERENCE

RODOLFO FIGARI

Dipartimento di Scienze Fisiche, Universitá di Napoli Federico II, Italy

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RAFFAELE CARLONE

Dottorato di Ricerca del Dipartimento di Scienze Fisiche, Universitá di Napoli Federico II, Italy

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, and

ALESSANDRO TETA

Dipartimento di Matematica Pura e Applicata, Universitá di L'Aquila, Italy

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https://doi.org/10.1142/S0217979204024288Cited by:3 (Source: Crossref)

Abstract

We recall the classical picture about the decoherence effects induced on a quantum sub-system by the interaction with a macroscopic environment. We discuss the need of a rigorous treatment, in mathematically reasonable models, of the dynamical process bringing the system in an entangled state with the environment. We consider a simple system consisting of two particles interacting via a two-body potential and we discuss a rigorous derivation of the asymptotic wave function of the system in the limit of small mass ratio. We apply the result to the explicit computation of the decoherence effect induced on the heavy particle, in concrete examples of quantum evolution.

Dedicated to Francesco Guerra on the occasion of his 60th birthday

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