Path integral molecular dynamics simulations for Green's function in a system of identical bosons

Area of Science:

• Quantum Many-Body Physics
• Computational Physics
• Statistical Mechanics

Background:

• Path Integral Molecular Dynamics (PIMD) is effective for simulating large bosonic systems.
• Calculating Green's functions is crucial for understanding quantum systems.
• Previous methods had limitations in applying PIMD to Green's function calculations for bosons.

Purpose of the Study:

• To extend Path Integral Molecular Dynamics (PIMD) techniques for calculating Green's functions in bosonic systems.
• To extract momentum distribution from PIMD simulations.
• To investigate quantum phase transitions in interacting bosons.

Main Methods:

• Developed an extension of the original PIMD method.
• Applied the extended PIMD to calculate Green's functions for bosonic systems.
• Simulated systems of identical interacting bosons to study the Berezinskii-Kosterlitz-Thouless transition.

Main Results:

• Successfully extended PIMD to compute Green's functions for bosonic systems.
• Demonstrated the extraction of momentum distribution from PIMD simulations.
• Observed the Berezinskii-Kosterlitz-Thouless transition around its critical temperature in simulations.

Conclusions:

• The developed PIMD extension is a powerful tool for studying bosonic systems.
• This method provides insights into quantum phenomena like momentum distribution and phase transitions.
• The approach facilitates the investigation of complex quantum behaviors in many-body systems.