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.
Similar content being viewed by others
References
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).
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).
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.
E. L. Pollock and D. M. Ceperley, Phys. Rev. B 36, 8343 (1987).
W. Krauth, N. Trivedi, and D. Ceperly, Phys. Rev. Lett. 67, 2307 (1991).
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).
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).
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.
N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth et al., J. Chem. Phys. 21, 1087 (1953).
R. M. Fye, Phys. Rev. B 33, 6271 (1986).
Author information
Authors and Affiliations
Additional information
Pis’ma Zh. Éksp. Teor. Fiz. 64, No. 12, 853–858 (25 December 1996)