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

Research output

5 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)066702_1-10
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number6
DOIs
Publication statusPublished - 2009

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Ensemble Methods
Curvilinear integral
Monte Carlo method
Fermions
fermions
Ground State Energy
permutations
Partition Function
External Field
partitions
Permutation
Thermodynamics
Harmonic
harmonics
thermodynamics
ground state
Simulation
simulation
energy
Class

Cite this

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title = "Path-integral-expanded-ensemble Monte Carlo method in treatment of the sign problem for fermions",
abstract = "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. {\circledC} 2009 The American Physical Society.",
keywords = "Coulombic field, Ensemble-Monte Carlo method, External fields, Ground-state energies, Interacting particles, Low temperatures, Partition functions, Path-integral, Quantum particles, Sign problem, Wang-Landau algorithm",
author = "M.A. Voznesenskiy and P.N. Vorontsov-Velyaminov and A.P. Lyubartsev",
year = "2009",
doi = "DOI: 10.1103/PhysRevE.80.066702",
language = "English",
volume = "80",
pages = "066702_1--10",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

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 -