Lustosa Francisco Bento, Colin Samuel, Perez Bergliaffa Santiago E
Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, CEP: 22290-180 Rio de Janeiro-RJ, Brazil.
Theiss Research, 7411 Eads Avenue, La Jolla, CA 92037, USA.
Proc Math Phys Eng Sci. 2021 Apr;477(2248):20200606. doi: 10.1098/rspa.2020.0606. Epub 2021 Apr 21.
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 || 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，针对简单系统的数值模拟表明，最初处于量子非平衡态（因而违反玻恩规则）的状态通常会随着时间推移在粗粒化水平上弛豫到预期的分布。我们通过数值模拟分析了一维耦合谐振子系统中非平衡初始分布的弛豫情况，其中耦合通过时间明确依赖，重点关注不同参数的影响，如模式数量、粗粒化长度和耦合常数。我们表明，一般来说这里所研究的系统趋向于平衡态，但弛豫可能会因参数值而延迟，特别是与相互作用强度相关的参数。文中还讨论了对遗留非平衡系统检测的可能影响。
