Interaction picture density matrix quantum Monte Carlo

被引:70
|
作者
Malone, Fionn D. [1 ]
Blunt, N. S. [2 ]
Shepherd, James J. [1 ,3 ]
Lee, D. K. K. [1 ]
Spencer, J. S. [1 ,4 ]
Foulkes, W. M. C. [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Phys, London SW7 2AZ, England
[2] Univ Cambridge, Univ Chem Lab, Cambridge CB2 1EW, England
[3] MIT, Dept Chem, Cambridge, MA 02139 USA
[4] Univ London Imperial Coll Sci Technol & Med, Dept Mat, London SW7 2AZ, England
来源
JOURNAL OF CHEMICAL PHYSICS | 2015年 / 143卷 / 04期
基金
英国工程与自然科学研究理事会;
关键词
ELECTRON-GAS; SYSTEMS; MATTER;
D O I
10.1063/1.4927434
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The recently developed density matrix quantum Monte Carlo (DMQMC) algorithm stochastically samples the N-body thermal density matrix and hence provides access to exact properties of manyparticle quantum systems at arbitrary temperatures. We demonstrate that moving to the interaction picture provides substantial benefits when applying DMQMC to interacting fermions. In this first study, we focus on a system of much recent interest: the uniform electron gas in the warm dense regime. The basis set incompleteness error at finite temperature is investigated and extrapolated via a simple Monte Carlo sampling procedure. Finally, we provide benchmark calculations for a four-electron system, comparing our results to previous work where possible. (C) 2015 AIP Publishing LLC.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Piecewise interaction picture density matrix quantum Monte Carlo
    van Benschoten, William Z.
    Shepherd, James J.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2022, 156 (18):
  • [2] The Sign Problem in Density Matrix Quantum Monte Carlo
    Petras, Hayley R.
    Van Benschoten, William Z.
    Ramadugu, Sai Kumar
    Shepherd, James J.
    [J]. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2021, 17 (10) : 6036 - 6052
  • [3] Density-matrix quantum Monte Carlo method
    Blunt, N. S.
    Rogers, T. W.
    Spencer, J. S.
    Foulkes, W. M. C.
    [J]. PHYSICAL REVIEW B, 2014, 89 (24):
  • [4] Comments on the quantum Monte Carlo method and the density matrix theory
    Politi, JRD
    Custodio, R
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2003, 118 (11): : 4781 - 4783
  • [5] Density matrix Monte Carlo modeling of quantum cascade lasers
    Jirauschek, Christian
    [J]. JOURNAL OF APPLIED PHYSICS, 2017, 122 (13)
  • [6] Energy density matrix formalism for interacting quantum systems: Quantum Monte Carlo study
    Krogel, Jaron T.
    Kim, Jeongnim
    Reboredo, Fernando A.
    [J]. PHYSICAL REVIEW B, 2014, 90 (03):
  • [7] Fixed-point quantum Monte Carlo method: A combination of density-matrix quantum Monte Carlo method and stochastic unravellings
    Chessex, Romain
    Borrelli, Massimo
    Ottinger, Hans Christian
    [J]. PHYSICAL REVIEW A, 2022, 105 (06)
  • [8] Quantum Monte Carlo with density matrix: potential energy curve derived properties
    Bonfim, Victor S.
    Borges, Nadia M.
    Martins, Joao B. L.
    Gargano, Ricardo
    Politi, Jose Roberto dos S.
    [J]. JOURNAL OF MOLECULAR MODELING, 2017, 23 (04)
  • [9] Preliminary Assessment of the First-Order Density Matrix in Quantum Monte Carlo from Density Matrix Theory
    Angelotti, Wagner F. D.
    Politi, Jose R. S.
    Custodio, Rogerio
    [J]. JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2023, 19 (13) : 3861 - 3867
  • [10] Quantum Monte Carlo with density matrix: potential energy curve derived properties
    Víctor S. Bonfim
    Nádia M. Borges
    João B. L. Martins
    Ricardo Gargano
    José Roberto dos S. Politi
    [J]. Journal of Molecular Modeling, 2017, 23