Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories

Abstract

Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational tool to simulate quantum systems consisting of many particles, a very demanding computational task. In this paper, we present a novel ab-initio approach to solve the many-body problem for bosonic systems by evolving a system of one-particle wavefunctions representing pilot waves that guide the Bohmian trajectories of the quantum particles. In this approach, quantum entanglement effects arise due to the interactions between different configurations of Bohmian particles evolving simultaneously. The method is used to study the breathing dynamics and ground state properties in a system of interacting bosons.

arXiv comment10 pages, 5 figures; to appear in Scientific Reports

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• Nonadiabatic \textit{ab initio} Quantum Dynamics without Potential Energy Surfaces
• Fundamental speed limits on entanglement dynamics of bipartite quantum systems
• Entanglement islands in 1D and 2D lattices with defects
• Coherence-induced quantum forces
• Quantum Entanglement of Free Particles