Chaos and ergodicity in entangled non-ideal Bohmian qubits

TL;DR

This paper investigates the chaotic and ergodic behavior of Bohmian trajectories in non-ideal bipartite qubit systems, revealing how wavefunction nodal points influence dynamics and implications for Born's rule.

Contribution

It introduces a detailed analysis of chaos and ergodicity in non-ideal Bohmian qubits with various coherent state modifications, extending understanding beyond ideal systems.

Findings

Chaotic Bohmian trajectories are approximately ergodic across studied cases.

Nodal points' number and arrangement influence trajectory chaos and order.

Results impact the understanding of the dynamical basis of Born's rule.

Abstract

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.