Reduction of the Wavepacket: How Long Does it Take?

dc.creatorZurek, Wojciech H.
dc.date2003-02-05
dc.date.accessioned2026-07-07T06:06:04Z
dc.date.available2026-07-07T06:06:04Z
dc.descriptionWe show that the ``reduction of the wavepacket'' caused by the interaction with the environment occurs on a timescale which is typically many orders of magnitude shorter than the relaxation timescale $τ$. In particular, we show that in a system interacting with a ``canonical'' heat bath of harmonic oscillators decorrelation timescale of two pieces of the wave-packet separated by $N$ thermal de Broglie wavelengths is approximately $τ/N^2$. Therefore, in the classical limit $\hbar \to 0$ dynamical reversibility $(τ\to \infty)$ is compatible with ``instantaneous'' coherence loss.
dc.description7 pages. This paper introduced what is now known as "decoherence timescale" and gave a now broadly used estimate, Eq.(1), for quantum Brownian motion
dc.identifierhttps://arxiv.org/abs/quant-ph/0302044
dc.identifierhttp://arxiv.org/abs/quant-ph/0302044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90852
dc.subjectQuantum Physics
dc.titleReduction of the Wavepacket: How Long Does it Take?
dc.typetext

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