TY - JOUR
T1 - High-order quantum back-reaction and quantum cosmology with a positive cosmological constant
AU - Bojowald, Martin
AU - Brizuela, David
AU - Hernández, Hector H.
AU - Koop, Michael J.
AU - Morales-Técotl, Hugo A.
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2011/8/10
Y1 - 2011/8/10
N2 - When quantum back-reaction by fluctuations, correlations and higher moments of a state becomes strong, semiclassical quantum mechanics resembles a dynamical system with a high-dimensional phase space. Here, systematic computational methods to derive the dynamical equations including all quantum corrections to high order in the moments are introduced, together with a (deparameterized) quantum cosmological example to illustrate some implications. The results show, for instance, that the Gaussian form of an initial state is maintained only briefly, but that the evolving state settles down to a new characteristic shape afterwards. Remarkably, even in the regime of large high-order moments, we observe a strong convergence within all considered orders that supports the use of this effective approach.
AB - When quantum back-reaction by fluctuations, correlations and higher moments of a state becomes strong, semiclassical quantum mechanics resembles a dynamical system with a high-dimensional phase space. Here, systematic computational methods to derive the dynamical equations including all quantum corrections to high order in the moments are introduced, together with a (deparameterized) quantum cosmological example to illustrate some implications. The results show, for instance, that the Gaussian form of an initial state is maintained only briefly, but that the evolving state settles down to a new characteristic shape afterwards. Remarkably, even in the regime of large high-order moments, we observe a strong convergence within all considered orders that supports the use of this effective approach.
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U2 - 10.1103/PhysRevD.84.043514
DO - 10.1103/PhysRevD.84.043514
M3 - Article
AN - SCOPUS:80052762351
VL - 84
JO - Physical Review D
JF - Physical Review D
SN - 0556-2821
IS - 4
M1 - 043514
ER -