Born’s rule in multiqubit Bohmian systems

Tzemos, Athanasios C.; Contopoulos, G.

doi:10.1016/j.chaos.2022.112650

Cited by 2 publications

(1 citation statement)

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“…If, however, P 0 ≠ |Ψ 0 | 2 then BR can be approximately reached after a long time if the proportion between ordered and chaotic trajectories in any initial distribution of particles as well as the distribution of the ordered trajectories are the same as that of the Born distribution. In the case of N-qubit systems with N large BR will be always accessible since chaotic-ergodic trajectories dominate the configuration space [28]. The existence of ergodicity in qubit systems was justified by the infinite number of nodal points (due to the infinite energies in the energy spectrum of the coherent states) and by the way that the probability density |Ψ| 2 evolves in time.…”

Section: Introductionmentioning

confidence: 99%

Chaos and ergodicity in a partially integrable 3d Bohmian system: a comparison with 2d systems

Tzemos¹,

Contopoulos²

2023

Phys. Scr.

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In the present paper we study the Bohmian dynamics of a partially integrable 3d Bohmian system whose trajectories evolve on spherical surfaces. By use of spherical coordinates (R, ϕ, θ) we study the behaviour of unstable fixed points that generate chaos on the (ϕ, θ) plane and discuss the differences between them and those of planar 2d systems. Finally, we show for the first time that the chaotic trajectories of this system are ergodic although the number of its nodes is very small (two). Thus we can observe ergodicity not only in multinodal 2d systems but also in partially integrable systems with few nodes due to their curved geometry.

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Section: Introductionmentioning

confidence: 99%