论文标题

纠缠非理想的bohmian Qubits中的混乱和奇异性

Chaos and ergodicity in entangled non-ideal Bohmian qubits

论文作者

Tzemos, Athanasios C., Contopoulos, George

论文摘要

我们通过修改由量子谐波振荡器的相干状态制成的理想的两量Qubit系统的基本物理参数来研究非理想量子系统的大型两部分系统的Bohmian动力学。首先,我们研究具有截断能水平和较大幅度的连贯状态的情况。然后,我们研究了非截断的相干状态,但幅度很小,最后是上述情况的组合。在所有情况下,我们都发现混乱的波哈米亚轨迹大约是奇异的。我们还研究了波函数的节点点的数量和空间布置及其在混乱的轨迹形成以及有序轨迹的出现中的作用。我们的结果对Born统治的动态建立具有很大的影响。

We study the Bohmian dynamics of a large class of bipartite systems of non-ideal qubit systems, by modifying the basic physical parameters of an ideal two-qubit system, made of coherent states of the quantum harmonic oscillator. First we study the case of coherent states with truncated energy levels and large amplitudes. Then we study non-truncated coherent states but with small amplitudes and finally a combination of the above cases. In all cases we find that the chaotic Bohmian trajectories are approximately ergodic. We also study the number and the spatial arrangement of the nodal points of the wavefunction and their role both in the formation of chaotic-ergodic trajectories, and in the emergence of ordered trajectories. Our results have strong implications on the dynamical establishment of Born's rule.

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