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Detectability of the late-time departure from exponential decay of metastable quantum systems and impacts of an environment.

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Call No.	QC176.8.T8 L56 2009
Author	Lindstrom, Rebecca J.
Title	Detectability of the late-time departure from exponential decay of metastable quantum systems and impacts of an environment.
Date	2009
Abstract	For a long-lived metastable system, the decay of the survival probability is typically exponential. However, deviations are known to exist at short times (the quantum Zeno effect) and at long times (algebraic tails in classical hydrodynamic systems). Deviations are also predicted for quantum systems at late times, but there is only one reported observation, of which we are skeptical. In this thesis, we study issues pertaining to the detectability of this late-time effect. We focus on three physical models, namely a specific tunneling model---the well known Winter problem, a generic tunneling model, and a radiating atom model and consider explicit constructions of the decay products' wave functions. We then build a simple non-invasive model for time-resolved spectroscopy and examine the probability of detecting the decay products. We also study the effects of a non-trivial environment on the late-time region of the survival probability for a tunneling particle. We model the particle in two ways and find similar results suggesting that the late-time behavior is not dependent on a particular potential, but rather is more general. Lastly, in contrast to previous studies, we observe a continuous range in the exponent governing the algebraic decay regime.
Description	xi, 95 leaves : ill. (some col.) ; 28 cm
Format	application/pdf
Advisor	Walter E Lawrence Miles P Blencowe, Alexander J Rimberg, John S Winn
Subject	Tunneling (Physics) Quantum theory -- Mathematical models. Particles (Nuclear physics) -- Decay -- Mathematical models.
College	Dartmouth College. Dept. of Physics and Astronomy.
Issuing Body	Dartmouth Dissertations are made available through the Dartmouth Digital Library.
Degree	Thesis (Ph.D.)--Dartmouth College.
Copyright	All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means without permission in writing from the author.
DOI	http://dx.doi.org/10.1349/ddlp.277

Title	Page 1
Format	application/pdf
Issuing Body	Dartmouth Dissertations are made available through the Dartmouth Digital Library.
Degree	Thesis (Ph.D.)--Dartmouth College.
Full Text	Detectability of the Late-Time Departure from Exponential Decay of Metastable Quantum Systems and Impacts of an Environment A Thesis Submitted to the Faculty in partial ful¯llment of the requirements for the degree of Doctor of Philosophy in Physics and Astronomy by Rebecca J. Lindstrom DARTMOUTH COLLEGE Hanover, New Hampshire 11 November 2009 Examining Committee: (Chair) Walter E. Lawrence Miles P. Blencowe Alexander J. Rimberg John S. Winn Brian W. Pogue Dean of Graduate Studies

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