Bohmian trajectories for bipartite entangled states

TL;DR

This paper derives Bohmian trajectories for bipartite systems at finite temperature, highlighting qualitative differences between entangled and separable states, with applications to dissipative harmonic oscillators.

Contribution

It introduces a method to derive Bohmian trajectories for bipartite systems using Bell's beables, including entangled states at finite temperature.

Findings

Entangled states show distinct Bohmian trajectories compared to separable states.

The method applies to dissipative harmonic oscillators at finite temperature.

Qualitative differences in trajectories are observed based on entanglement.

Abstract

We derive Bohm's trajectories from Bell's beables for arbitrary bipartite systems composed by dissipative noninteracting harmonic oscillators at finite temperature. As an application of our result, we calculate the Bohmian trajectories of particles described by a generalized Werner state, comparing the trajectories when the sate is either separable or entangled. We show that qualitative differences appear in the trajectories for entangled states as compared with those for separable states.