Copycat process in the early stages of einselection
- URL: http://arxiv.org/abs/2105.14032v2
- Date: Wed, 31 May 2023 20:04:52 GMT
- Title: Copycat process in the early stages of einselection
- Authors: Rose Baunach, Andreas Albrecht, Andrew Arrasmith
- Abstract summary: We identify and describe unique early time behavior of a quantum system initially in a superposition.
This behavior occurs after the system begins to decohere, but before complete einselection.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We identify and describe unique early time behavior of a quantum system
initially in a superposition, interacting with its environment. This behavior
-- the copycat process -- occurs after the system begins to decohere, but
before complete einselection. To illustrate this behavior analytic solutions
for the system density matrix, its eigenvalues, and eigenstates a short time
after system-environment interactions begin are provided. Features of the
solutions and their connection to observables are discussed, including
predictions for the continued evolution of the eigenstates towards
einselection, time dependence of spin expectation values, and an estimate of
the system's decoherence time. In particular we explore which aspects of the
early stages of decoherence exhibit quadratic evolution to leading order, and
which aspects exhibit more rapid linear behavior. Many features of our early
time perturbative solutions are agnostic of the spectrum of the environment. We
also extend our work beyond short time perturbation theory to compare with
numerical work from a companion paper.
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