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Entangled Quantum Dynamics of Many-Body Systems using Bohmian Trajectories
Tarek A Elsayed1,2, 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 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.
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.
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