Solving the Quantum Many-Body Problem with Bohmian Trajectories

摘要

Bohmian mechanics is an interpretation of quantum mechanics that describesthe motion of quantum particles with an ensemble of deterministic trajectories.Several attempts have been made to utilize Bohmian trajectories as acomputational tool to simulate quantum systems consisting of many particles, avery demanding computational task. In this paper, we present a novel ab-initioapproach to solve the many-body problem for bosonic systems by evolving asystem of one-particle wavefunctions representing pilot waves that guide theBohmian trajectories of the quantum particles. The method is used to study thebreathing dynamics and ground state properties in a system of many interactingbosons. The precision of our method is benchmarked aginst the numerically exactmulticonfigurational time-dependent Hartree method for Bosons.