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Computing thermal Wigner densities with the phase integration method.

J Beutier1, D Borgis1, R Vuilleumier1

  • 1Département de Chimie, Ecole Normale Supérieure-PSL Research University, 24, rue Lhomond, 75005 Paris, France; Sorbonne Universités, UPMC Univ Paris 06, PASTEUR, F-75005 Paris, France; and CNRS, UMR 8640 PASTEUR, F-75005 Paris, France.

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Summary
This summary is machine-generated.

The Phase Integration Method (PIM) can now generate thermal Wigner density for quantum simulations. This method captures non-classical effects and negative Wigner density parts, aiding quantum property calculations.

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Area of Science:

  • Quantum mechanics
  • Computational physics
  • Statistical mechanics

Background:

  • The thermal Wigner density is crucial for simulating quantum systems.
  • Existing methods face challenges in capturing non-classical features.

Purpose of the Study:

  • Adapt the Phase Integration Method (PIM) for thermal Wigner density generation.
  • Evaluate PIM's capability to capture non-classical quantum effects.

Main Methods:

  • Utilized path integral representation of density.
  • Employed cumulant expansion for Wigner function calculation.
  • Leveraged Monte Carlo algorithms for sampling probability densities.

Main Results:

  • Successfully adapted PIM for thermal Wigner density sampling.
  • Demonstrated PIM's ability to capture correlations in momenta and coordinates.
  • Showcased PIM's capacity to identify negative Wigner density regions.

Conclusions:

  • PIM offers a novel approach for quantum simulations.
  • The method accurately reproduces non-classical quantum phenomena.
  • PIM provides insights into the Wigner density's complex nature.