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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Dynamical mean field solution of the Bose-Hubbard model
Peter Anders1, Emanuel Gull, Lode Pollet
1Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland.
Physical Review Letters
|September 28, 2010
Summary
We developed an accurate bosonic dynamical mean field approximation for the Hubbard model. This method precisely predicts phase diagrams and correlation functions for various bosonic systems.
Area of Science:
- Condensed matter physics
- Quantum many-body systems
Background:
- The bosonic Hubbard model is crucial for understanding interacting bosons.
- Accurate theoretical methods are needed to predict its properties.
Purpose of the Study:
- To present an effective action and self-consistency equations for the bosonic dynamical mean field approximation (BDMFA).
- To demonstrate the accuracy of BDMFA for phase diagrams and correlation functions.
Main Methods:
- Developed BDMFA equations for the bosonic Hubbard model.
- Employed a continuous-time quantum Monte Carlo (CT-QMC) method.
- Utilized a diagrammatic expansion in hybridization and condensate coupling.
Main Results:
- BDMFA yields highly accurate phase diagrams.
- BDMFA accurately predicts correlation functions.
- The CT-QMC method is efficient for solving BDMFA equations.
Conclusions:
- BDMFA is a powerful tool for studying bosonic systems.
- The presented CT-QMC approach is versatile and scalable.
- This method can be extended to complex bosonic mixtures and Bose-Fermi mixtures.
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