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Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories.

Tarek A Elsayed^1,2, Klaus Mølmer³, Lars Bojer Madsen³

¹Zewail City of Science and Technology, 6th of October City, Giza, 12578, Egypt. tarek.ahmed.elsayed@gmail.com.

Scientific Reports

|August 25, 2018

Summary

This summary is machine-generated.

This study introduces a new Bohmian mechanics approach for simulating complex quantum systems. It uses pilot waves to guide particle trajectories, enabling efficient computation of bosonic systems.

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Area of Science:

Quantum Mechanics
Computational Physics
Many-Body Systems

Background:

Bohmian mechanics offers deterministic trajectories for quantum particles.
Simulating many-particle quantum systems computationally is challenging.
Existing methods for Bohmian mechanics simulations have limitations.

Purpose of the Study:

To develop a novel ab-initio method for solving the many-body problem in bosonic systems.
To utilize pilot waves guiding Bohmian trajectories for quantum simulations.
To investigate quantum entanglement effects in interacting bosonic systems.

Main Methods:

Evolving a system of one-particle wavefunctions as pilot waves.
Guiding deterministic Bohmian trajectories of quantum particles.
Analyzing quantum entanglement arising from simultaneous particle configurations.

Main Results:

Successfully applied the method to study breathing dynamics in interacting bosons.
Determined ground state properties of the simulated bosonic systems.
Demonstrated the emergence of quantum entanglement from particle interactions.

Conclusions:

The novel Bohmian mechanics approach provides an efficient method for simulating many-body bosonic systems.
Pilot wave evolution effectively captures quantum entanglement effects.
The method is a promising tool for computational quantum physics research.