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Related Experiment Video

Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

High-order time expansion path integral ground state.

R Rota¹, J Casulleras, F Mazzanti

¹Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Barcelona, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This summary is machine-generated.

Path integral Monte Carlo calculations for ground states are feasible with few beads using a high-order Green's function expansion. This efficient method yields model-independent results by eliminating trial wave functions, enhancing ground-state wave function quality.

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Area of Science:

Quantum mechanics
Computational physics
Many-body systems

Background:

Path integral Monte Carlo (PIMC) is a powerful quantum mechanical simulation technique.
Accurate ground-state calculations often require significant computational resources and careful treatment of approximations.
The quality of trial wave functions can limit the accuracy of PIMC results.

Purpose of the Study:

To investigate the feasibility of PIMC ground-state calculations using a minimal number of"beads" (time slices).
To explore the application of a high-order short-time Green's function expansion for improved accuracy.
To assess the potential for obtaining model-independent results in PIMC.

Main Methods:

Utilizing a high-order short-time Green's function expansion for the evolution operator in PIMC.
Examining an explicit expression for the evolution operator to enhance ground-state wave function quality.
Implementing a method that allows for the removal of the trial wave function.

Main Results:

Demonstrated the feasibility of PIMC ground-state calculations with very few beads.
Achieved significant enhancements in the quality of ground-state wave functions.
Obtained completely model-independent results due to the elimination of trial wave functions.
Showcased that a single iteration yields a shadow-type wave function with content determined by the high-order algorithm.

Conclusions:

The high-order Green's function expansion provides an efficient and accurate approach for PIMC ground-state calculations.
This method significantly reduces the number of beads required, making calculations more tractable.
The ability to remove trial wave functions opens avenues for truly model-independent quantum mechanical simulations.