### Abstract

Original language | English |
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Pages (from-to) | 066702_1-10 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 80 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2009 |

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### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*80*(6), 066702_1-10. https://doi.org/DOI: 10.1103/PhysRevE.80.066702

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*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 80, no. 6, pp. 066702_1-10. https://doi.org/DOI: 10.1103/PhysRevE.80.066702

**Path-integral-expanded-ensemble Monte Carlo method in treatment of the sign problem for fermions.** / Voznesenskiy, M.A.; Vorontsov-Velyaminov, P.N.; Lyubartsev, A.P.

Research output

TY - JOUR

T1 - Path-integral-expanded-ensemble Monte Carlo method in treatment of the sign problem for fermions

AU - Voznesenskiy, M.A.

AU - Vorontsov-Velyaminov, P.N.

AU - Lyubartsev, A.P.

PY - 2009

Y1 - 2009

N2 - Expanded-ensemble Monte Carlo method with Wang-Landau algorithm was used for calculations of the ratio of partition functions for classes of permutations in the problem of several interacting quantum particles (fermions) in an external field. Simulations for systems consisting of 2 up to 7 interacting particles in harmonic or Coulombic field were performed. The presented approach allows one to carry out calculations for low enough temperatures that makes it possible to extract data for the ground-state energy and low-temperature thermodynamics. © 2009 The American Physical Society.

AB - Expanded-ensemble Monte Carlo method with Wang-Landau algorithm was used for calculations of the ratio of partition functions for classes of permutations in the problem of several interacting quantum particles (fermions) in an external field. Simulations for systems consisting of 2 up to 7 interacting particles in harmonic or Coulombic field were performed. The presented approach allows one to carry out calculations for low enough temperatures that makes it possible to extract data for the ground-state energy and low-temperature thermodynamics. © 2009 The American Physical Society.

KW - Coulombic field

KW - Ensemble-Monte Carlo method

KW - External fields

KW - Ground-state energies

KW - Interacting particles

KW - Low temperatures

KW - Partition functions

KW - Path-integral

KW - Quantum particles

KW - Sign problem

KW - Wang-Landau algorithm

U2 - DOI: 10.1103/PhysRevE.80.066702

DO - DOI: 10.1103/PhysRevE.80.066702

M3 - Article

VL - 80

SP - 066702_1-10

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

ER -