Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Exact stochastic mean-field approach to the fermionic many-body problem.

O Juillet1, Ph Chomaz

  • 1LPC/ISMRA, Boulevard du Marechal Juin, F-14050 Caen Cedex, France.

Physical Review Letters
|April 17, 2002
PubMed
Summary

We present a novel stochastic method for simulating interacting fermion systems. This approach interprets the exact N-body state as an average over random mean-field evolutions, offering a stable and accurate simulation technique.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Constrained-path quantum Monte Carlo approach for the nuclear shell model.

Physical review letters·2013
Same author

Ising analogue to compact-star matter.

Physical review letters·2007
Same author

Evidence for a three-phonon giant resonance state in 40Ca nuclei.

Physical review letters·2007
Same author

Quantum calculations of Coulomb reorientation for sub-barrier fusion.

Physical review letters·2004
Same author

Exact pairing correlations for one-dimensionally trapped fermions with stochastic mean-field wave functions.

Physical review letters·2004
Same author

Influence of the coulomb interaction on the liquid-gas phase transition and nuclear multifragmentation.

Physical review letters·2003

Area of Science:

  • Quantum mechanics
  • Many-body physics
  • Computational physics

Background:

  • Interacting fermion systems are fundamental in many areas of physics.
  • Accurate simulation of these systems is computationally challenging.
  • Existing methods like time-dependent Hartree-Fock have limitations.

Purpose of the Study:

  • To develop a new stochastic formulation for simulating interacting fermion systems.
  • To provide an alternative to traditional methods for solving many-body problems.
  • To analyze the stability and convergence of the proposed method.

Main Methods:

  • Reformulation of dynamics using a stochastic extension of time-dependent Hartree-Fock equations.
  • Utilizing a path-integral representation of the evolution operator.

Related Experiment Videos

  • Employing imaginary time propagation for ground state convergence.

    • Main Results:

    • The exact N-body state is shown to be a coherent average over Slater determinants in a random mean-field.
    • The imaginary time propagation scheme converges to the exact ground state.
    • Analysis of statistical error growth demonstrates the formulation's stability.

    Conclusions:

    • The stochastic extension of time-dependent Hartree-Fock provides a stable and accurate method for simulating interacting fermion systems.
    • This approach offers a new perspective on solving complex many-body quantum problems.
    • The method shows promise for future applications in condensed matter and nuclear physics.