Quantum relaxation in a system of harmonic oscillators with
time-dependent coupling
- URL: http://arxiv.org/abs/2007.02939v2
- Date: Fri, 10 Jul 2020 12:38:54 GMT
- Title: Quantum relaxation in a system of harmonic oscillators with
time-dependent coupling
- Authors: F. B. Lustosa, S. Colin, S. E. Perez Bergliaffa
- Abstract summary: We analyze the relaxation of nonequilibrium initial distributions for a system of coupled one-dimensional harmonic oscillators.
We show that in general the system studied here tends to equilibrium, but the relaxation can be retarded depending on the values of the parameters.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In the context of the de Broglie-Bohm pilot wave theory, numerical
simulations for simple systems have shown that states that are initially out of
quantum equilibrium - thus violating the Born rule - usually relax over time to
the expected $|\psi|^2$ distribution on a coarse-grained level. We analyze the
relaxation of nonequilibrium initial distributions for a system of coupled
one-dimensional harmonic oscillators in which the coupling depends explicitly
on time through numerical simulations, focusing in the influence of different
parameters such as the number of modes, the coarse-graining length and the
coupling constant. We show that in general the system studied here tends to
equilibrium, but the relaxation can be retarded depending on the values of the
parameters, particularly to the one related to the strength of the interaction.
Possible implications on the detection of relic nonequilibrium systems are
discussed.
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