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

Cluster algorithms for general-S quantum spin systems.

S Todo1, K Kato

  • 1Institute for Solid State Physics, University of Tokyo, Kashiwa 277-8581, Japan.

Physical Review Letters
|July 20, 2001
PubMed
Summary
This summary is machine-generated.

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

Identification and isolation of common and tissue-specific geranylgeranylated gamma subunits of guanine-nucleotide-binding regulatory proteins in various tissues.

European journal of biochemistry·1992
Same author

Extra-adrenal pheochromocytoma-ganglioneuroma. A case report.

Pathology, research and practice·1992
Same author

Developmental regulation of cytochrome P-450 of intrasplenically transplanted fetal hepatocytes in spontaneously hypertensive rats.

Transplantation proceedings·1992
Same author

Manganese-containing superoxide dismutase in blood and urine during open-heart surgery.

Japanese circulation journal·1992
Same author

A Japanese pedigree of autosomal dominant congenital stationary night blindness with variable expressivity.

Ophthalmic paediatrics and genetics·1992
Same author

Effects of daily physical activity on insulin action in the elderly.

Journal of applied physiology (Bethesda, Md. : 1985)·1992
Same journal

Erratum: Spectroscopy and Ground-State Transfer of Ultracold Bosonic ^{39}K^{133}Cs Molecules [Phys. Rev. Lett. 135, 203401 (2025)].

Physical review letters·2026
Same journal

Erratum: Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation [Phys. Rev. Lett. 127, 213001 (2021)].

Physical review letters·2026
Same journal

Laser-Plasma Based Seeded Free Electron Laser in the High-Gain Regime.

Physical review letters·2026
Same journal

Parent Hamiltonians for Stabilizer Quantum Many-Body Scars.

Physical review letters·2026
Same journal

Properties of Heavy Cosmic Nuclei Phosphorus, Chlorine, Argon, Potassium, and Calcium: Results from the Alpha Magnetic Spectrometer.

Physical review letters·2026
Same journal

Role of Spin-Isospin Symmetries in Nuclear β-Decays.

Physical review letters·2026
See all related articles

We developed a general quantum cluster algorithm to simulate high-spin systems. This method extends existing algorithms for spin-1/2 systems, enabling accurate simulations of complex magnetic materials.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Computational physics

Background:

  • Quantum cluster algorithms, like the loop algorithm, are effective for simulating spin-1/2 systems.
  • Extending these algorithms to arbitrary spin sizes (high-S) is computationally challenging.
  • High-S spin systems are crucial for understanding magnetic phenomena.

Purpose of the Study:

  • To develop a general strategy for extending quantum cluster algorithms to arbitrary spin sizes.
  • To enable efficient simulation of high-S spin systems.
  • To provide a method for calculating properties of integer-spin systems.

Main Methods:

  • Representing the partition function of high-S spin systems using a path integral of an S=1/2 model.
  • Introducing additional graphs for boundary conditions in the imaginary-time direction.

Related Experiment Videos

  • Explicitly defining labeling probabilities for the extended algorithm.

    • Main Results:

    • Successfully extended the quantum cluster algorithm to handle arbitrary spin sizes.
    • Demonstrated the method by simulating integer-spin antiferromagnetic Heisenberg chains.
    • Estimated the first excitation gap for S=1, 2, and 3: 0.41048(6), 0.08917(4), and 0.01002(3), respectively.

    Conclusions:

    • The generalized quantum cluster algorithm provides a powerful tool for simulating high-S spin systems.
    • This approach bridges the gap between S=1/2 and high-S spin simulations.
    • The method is applicable to various magnetic materials and phenomena.