The role of chaotic and ordered trajectories in establishing Born's rule

AC Tzemos, G Contopoulos - Physica Scripta, 2021 - iopscience.iop.org
We study in detail the trajectories, ordered and chaotic, of two entangled Bohmian qubits
when their initial preparation satisfies (or not) Born's rule for various amounts of quantum …

Ergodicity and Born's rule in an entangled two-qubit Bohmian system

AC Tzemos, G Contopoulos - Physical Review E, 2020 - APS
We study the Bohmian trajectories of a generic entangled two-qubit system, composed of
coherent states of two harmonic oscillators with noncommensurable frequencies and focus …

Ergodicity and Born's rule in an entangled three-qubit Bohmian system

AC Tzemos, G Contopoulos - Physical Review E, 2021 - APS
We study in detail the interplay between chaos and entanglement in the Bohmian
trajectories of three entangled qubits, made of coherent states of the quantum harmonic …

Born's rule in multiqubit bohmian systems

AC Tzemos, G Contopoulos - Chaos, Solitons & Fractals, 2022 - Elsevier
We study the Bohmian trajectories of a 4-qubit system made of coherent states of the
quantum harmonic oscillator. We find, as in the 2-qubit and 3-qubit cases, that all the chaotic …

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

AC Tzemos, G Contopoulos - Physica Scripta, 2023 - iopscience.iop.org
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 …

Critical points and trajectories of the Bohmian quantum flow

A Tzemos, G Contopoulos - Maple Transactions, 2023 - mapletransactions.org
In the present work we study the critical points of the Bohmian quantum flow, namely the
nodal point and its associated X-point, which are responsible for the generation of chaos in …

Quantum Stochastic Trajectories: The Fokker–Planck–Bohm Equation Driven by the Reduced Density Matrix

F Avanzini, GJ Moro - The Journal of Physical Chemistry A, 2018 - ACS Publications
The quantum molecular trajectory is the deterministic trajectory, arising from the Bohm
theory, that describes the instantaneous positions of the nuclei of molecules by assuring the …

Quantum stochastic trajectories: the Smoluchowski–Bohm equation

F Avanzini, GJ Moro - Physical Chemistry Chemical Physics, 2018 - pubs.rsc.org
Molecular systems are quantum systems, but the complete characterization of molecular
motions within a fully quantum framework might appear to be an unfeasible task because it …