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Inchworm Monte Carlo for exact non-adiabatic dynamics. II. Benchmarks and comparison with established methods.

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This study benchmarks inchworm Monte Carlo expansions for the spin-boson model, comparing their performance against exact methods. The analysis reveals the strengths and weaknesses of inchworm Monte Carlo for quantum dynamics simulations.

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Area of Science:

  • Quantum mechanics
  • Computational physics

Background:

  • The spin-boson model is crucial for understanding quantum dynamics.
  • Accurate real-time simulations are computationally demanding.

Purpose of the Study:

  • To benchmark two inchworm Monte Carlo expansions for the spin-boson model.
  • To compare these methods with numerically exact approaches.
  • To analyze convergence and error propagation in inchworm Monte Carlo.

Main Methods:

  • Extensive benchmark results using two inchworm Monte Carlo expansions.
  • Comparison with established numerically exact methods.
  • Detailed analysis of convergence and error propagation.

Main Results:

  • Inchworm Monte Carlo expansions show specific performance characteristics for the spin-boson model.
  • Convergence properties and error propagation were quantified.
  • Direct comparison highlights advantages and disadvantages versus exact methods.

Conclusions:

  • The study provides a comprehensive understanding of inchworm Monte Carlo for quantum dynamics.
  • This work informs the choice of simulation methods for non-adiabatic quantum dynamics.