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Path-integral Monte Carlo simulations without the sign problem: multilevel blocking approach for effective actions
Egger1, Muhlbacher, Mak
1Fakultat fur Physik, Albert-Ludwigs-Universitat, Freiburg, Germany.
Summary
The multilevel blocking algorithm now addresses long-ranged interactions in quantum simulations. This method is applied to study the real-time quantum dynamics of the spin-boson model.
Area of Science:
- Quantum physics
- Computational physics
Background:
- The sign problem in path-integral Monte Carlo simulations hinders accurate quantum system analysis.
- The multilevel blocking algorithm offers a potential solution to this sign problem.
Purpose of the Study:
- To extend the multilevel blocking algorithm for systems with long-ranged interactions.
- To apply the extended algorithm to investigate the real-time quantum dynamics of the spin-boson model.
Main Methods:
- Extension of the multilevel blocking algorithm.
- Application to path-integral Monte Carlo simulations.
- Analysis of systems with long-ranged interactions along the Trotter direction.
Main Results:
- Successful extension of the multilevel blocking algorithm to handle long-ranged interactions.
- Presentation of results for the real-time quantum dynamics of the spin-boson model using the enhanced algorithm.
Conclusions:
- The extended multilevel blocking algorithm is effective for simulating quantum systems with long-ranged interactions.
- This approach provides valuable insights into the real-time quantum dynamics of models like the spin-boson model.