论文标题
在波动环境中的量子本征量和波函数崩溃的稳定性
Stability of quantum eigenstates and kinetics of wave function collapse in a fluctuating environment
论文作者
论文摘要
该工作通过使用Madelung量子流体动力学方法的随机概括将量子本征量的稳定性分析。在足够缓慢的动力学的极限下，量子本特征表现为保持固定构型，其质量密度分布非常小。这项工作表明，随机量子流体动力学模型允许通过从其平稳性和稳定性的内在特性中识别出它们的量子本质状态的定义，而无需重复进行测量过程或对经典力学的任何引用。通过使用离散方法，已经得出了随机量子式动力学方程的路径积分解，以研究最终的固定配置如何取决于状态的quatum叠加的初始条件。随机量子流体动力学表明，状态的叠加可以放松到不同的固定状态，在较小的噪声限制中，是略有干扰的量子特征态。这项工作表明，最终的固定特征态取决于状态的叠加的初始配置，并且可能概率过渡到每个特征状态可以满足诞生规则，从而允许脱解相应过程与量量量子力学的哥本哈根解释兼容。
The work analyzes the stability of the quantum eigenstates when they are submitted to fluctuations by using the stochastic generalization of the Madelung quantum hydrodynamic approach. In the limit of sufficiently slow kinetics, the quantum eigenstates show to remain stationary configurations with a very small perturbation of their mass density distribution. The work shows that the stochastic quantum hydrodynamic model allows to obtain the definition of the quantum eigenstates without recurring to the measurement process or any reference to the classical mechanics, by identifying them from their intrinsic properties of stationarity and stability. By using the discrete approach, the path integral solution of the stochastic quantum-hydrodynamic equation has been derived in order to investigate how the final stationary configurations depend by the the initial condition of the quatum superposition of states. The stochastic quantum hydrodynamics shows that the superposition of states can relax to different stationary states that, in the small noise limit, are the slightly perturbed quantum eigenstates. The work shows that the final stationary eigenstate depends by the initial configuration of the superposition of states and that possibly the probability transition to each eigenstates can satisfy the Born rule, allowing the decoherence process to be compatible with the Copenhagen interpretation of quantum mechanics.
