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 |ψ|² distribution on a coarse-grained level. We analyse the relaxation of non-equilibrium initial distributions for a system of coupled one-dimensional harmonic oscillators in which the coupling depends explicitly on time through numerical simulations, focusing on 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 non-equilibrium systems are discussed.

在德布罗意-玻姆导波理论的背景下，简单系统的数值模拟表明，最初脱离量子平衡的状态（从而违反了玻恩规则）通常会随着时间的推移松弛到预期的 | ψ | ²粗粒度分布。我们通过数值模拟分析了耦合明确依赖于时间的耦合一维谐振子系统的非平衡初始分布的弛豫，重点关注不同参数的影响，例如模式数量、粗粒度长度和耦合常数。我们表明，一般来说，这里研究的系统趋于平衡，但根据参数值，尤其是与相互作用强度相关的参数值，弛豫可能会延迟。讨论了对遗迹非平衡系统检测的可能影响。