Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories

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Title Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
Author Colin, Samuel; Struyve, Ward
Journal Name New Journal of Physics
Year Published 2010
Place of publication United Kingdom
Publisher IOP Publishing Ltd
Abstract The de Broglie–Bohm theory is about non-relativistic point-particles that move deterministically along trajectories. The theory reproduces the predictions of standard quantum theory, given that the distribution of particles over an ensemble of systems, all described by the same wavefunction , equals the quantum equilibrium distribution | |2. Numerical simulations done by Valentini and Westman (2005 Proc. R. Soc. A 461 253) have illustrated that non-equilibrium particle distributions may relax to quantum equilibrium after some time. Here we consider non-equilibrium distributions and their relaxation properties for a particular class of trajectory theories (first studied in detail by Deotto and Ghirardi (1998 Found. Phys. 28 1)) that are empirically equivalent to the de Broglie–Bohm theory in quantum equilibrium. In the examples we studied of such theories, we found a speed-up of the relaxation, compared to the ordinary de Broglie–Bohm theory. Hence non-equilibrium predictions that depend strongly on relaxation properties, such as those studied recently by Valentini, may vary across different trajectory theories. As such, these theories might be experimentally distinguishable.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1088/1367-2630/12/4/043008
Copyright Statement Copyright 2010 Institute of Physics Publishing. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 12
Page from 043008-1
Page to 043008-21
ISSN 1367-2630
Date Accessioned 2010-06-13
Language en_AU
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Physics
URI http://hdl.handle.net/10072/33184
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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