Skip to main content
Log in

Exact quantum Monte Carlo process for the statistics of discrete systems

  • Methods of Theoretical Physics
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

We propose an exact Monte Carlo approach for the statistics of discrete quantum systems that does not employ the standard partition of the imaginary time into a mesh and does not contain small parameters. The method operates with discrete objects — kinks, describing virtual transitions at different moments in time. The global statistics of the kinks is reproduced by exact local procedures, the main one being based on the known solution for an asymmetric two-level system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. E. Hirsch, D. J. Scalapino, R. L. Sugar, and R. Blankenbecler, Phys. Rev. Lett. 47, 1628 (1981); J. E. Hirsch, R. L. Sugar, D. J. Scalapino, and R. Blankenbecler, Phys. Rev. B 26, 5033 (1982).

    Article  ADS  Google Scholar 

  2. R. Blankenbecler, D. J. Scalapino, and R. L. Sugar, Phys. Rev. B 24, 2278 (1981); Phys. Rev. B 24, 4295 (1981); J. E. Hirsch, Phys. Rev. B 31, 4403 (1985).

    ADS  Google Scholar 

  3. A. Lagendijk and B. de Raedt, Phys. Rev. Lett. 49, 602 (1982); H. de Raedt and A. Lagendijk, Phys. Rep. 127, 233 (1985), and references therein.

    Article  ADS  MathSciNet  Google Scholar 

  4. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 36, 8343 (1987).

    Article  ADS  Google Scholar 

  5. W. Krauth, N. Trivedi, and D. Ceperly, Phys. Rev. Lett. 67, 2307 (1991).

    Article  ADS  Google Scholar 

  6. G. G. Batrouni, R. T. Scalettar, and G. T. Zimanyi, Phys. Rev. Lett. 65, 1765 (1990); Phys. Rev. Lett. 66, 3144 (1991); G. G. Batrouni and R. T. Scalettar, Phys. Rev. B 46, 9051 (1992).

    Article  ADS  Google Scholar 

  7. A. F. Elesin and V. A. Kashurnikov, Zh. Éksp. Teor. Fiz. 106, 1773 (1994) [JETP 79, 961 (1994)]; V. A. Kashurnikov, Phys. Rev. B 53, 5932 (1996).

    Google Scholar 

  8. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.

    Google Scholar 

  9. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth et al., J. Chem. Phys. 21, 1087 (1953).

    Article  Google Scholar 

  10. R. M. Fye, Phys. Rev. B 33, 6271 (1986).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 64, No. 12, 853–858 (25 December 1996)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prokof’ev, N.V., Svistunov, B.V. & Tupitsyn, I.S. Exact quantum Monte Carlo process for the statistics of discrete systems. Jetp Lett. 64, 911–916 (1996). https://doi.org/10.1134/1.567243

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.567243

PACS numbers

Navigation