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Updated: Jun 21, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

The sign problem in real-time path integral simulations: using the cumulant action to implement multilevel blocking.

¹Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA. mak@tyrosine.usc.edu

The Journal of Chemical Physics

|August 7, 2009

Summary

A novel multilevel blocking method addresses the sign problem in real-time path integral simulations. This approach uses a cumulant expansion for unbiased action estimation and efficient gradient computation.

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Last Updated: Jun 21, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Area of Science:

Computational Physics
Quantum Mechanics

Background:

The sign problem poses a significant challenge in real-time path integral simulations.
Accurate simulations are crucial for understanding quantum systems.

Purpose of the Study:

To develop a practical method for overcoming the sign problem in path integral simulations.
To introduce an unbiased estimator for the action in noisy path samples.

Main Methods:

A multilevel blocking technique is employed.
A cumulant expansion of the action is utilized.
The method is designed for implementation in parallel computing environments.

Main Results:

The proposed method effectively tackles the sign problem.
An unbiased estimator for the action is provided, even with noisy path data.
Analytical gradients of the action can be computed efficiently.

Conclusions:

The cumulant-based multilevel blocking method offers a practical solution for real-time path integral simulations.
The approach enhances computational efficiency and accuracy.
It is well-suited for large-scale parallel computations.