Reptation quantum Monte Carlo

W.K. Yuen, T.F. Farrar, S.M. Rothstein, No-compromise reptation quantum Monte Carlo. J. Phys. A Math. Theor. 40, F639-F646 (2007) (and references contained therein)... 

S. Baroni and S. Moroni (1999) Reptation Quantum Monte Carlo A Method for Unbiased Ground-State Averages and Imaginary-Time Correlations. Phys. Rev. Letts. 82, pp. 4745-4748 S. Baroni, S. Moroni Reptation quantum Monte Carlo in Quantum Monte Carlo Methods in Physics and Chemistry , eds. M. P. Nightingale and C. J. Umrigar (Kluwer, 1999), p. 313... 

Reptation quantum Monte Carlo (RQMC) [15,16] allows pure sampling to be done directly, albeit in common with DMC, with a bias introduced by the time-step (large, but controllable in DMC e.g. [17]) and the fixed-node approach (small, but not controllable e.g. [18]). Property estimation in this manner is free from population-control bias that plagues calculation of properties in diffusion Monte Carlo (e.g. [19]). Inverse Laplace transforms of the imaginary time correlation functions allow simulation of dynamic structure factors and other properties of physical interest. 

Reptation Quantum Monte Carlo Theory 18.2.1 Sampling from the Pure and Mixed Distributions... 

The Original Reptation Quantum Monte Carlo Algorithm... 

Middle Adjusted Reptation Quantum Monte Carlo (RQMC-MI)... 

Applications of Reptation Quantum Monte Carlo 18.3.1 Variants of Reptation Quantum Monte Carlo... 

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