Bohmian Chaos and Entanglement in a Two-Qubit System

Abstract

We study in detail the critical points of Bohmian flow, both in the inertial frame of reference (Y-points) and in the frames centered at the moving nodal points of the guiding wavefunction (X-points), and analyze their role in the onset of chaos in a system of two entangled qubits. We find the distances between these critical points and a moving Bohmian particle at varying levels of entanglement, with particular emphasis on the times at which chaos arises. Then, we find why some trajectories are ordered, without any chaos. Finally, we examine numerically how the Lyapunov Characteristic Number (LCN ) depends on the degree of quantum entanglement. Our results indicate that increasing entanglement reduces the convergence time of the finite-time LCN of the chaotic trajectories toward its final positive value.

34 pages, 16 figures

References in corpus (6)

• Bohmian Mechanics and Quantum Field Theory
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Entanglement in indistinguishable particle systems
• Bohm's Quantum Potential as an Internal Energy
• Origin of chaos near critical points of quantum flow
• Experimental nonlocal steering of Bohmian trajectories