modifs T2

This commit is contained in:
Pierre-Francois Loos 2020-09-22 13:19:54 +02:00
parent 41cf94826d
commit 13878734b8
2 changed files with 18 additions and 16 deletions

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@ -55,9 +55,9 @@ The DMC algorithm is stable at the cost of the introduction of a finite
population bias, and the PDMC algorithm is stabilized by introducing a finite
projecting time.
In this work, we have used the variant of Assaraf, Caffarel and
Khelif\cite{Assaraf_2000} (ref 112 in the paper) of the Stochastic
Reconfiguration (SR) algorithm developped by Hetherington and
Sorella.\cite{Sorella_1998,Hetherington_1984,Sorella_2000}
Khelif \cite{Assaraf_2000} (ref 112 in the paper) of the stochastic
reconfiguration (SR) algorithm developped by Hetherington and
Sorella \cite{Sorella_1998,Hetherington_1984,Sorella_2000}.
It is an algorithm mixing pure diffusion Monte Carlo (PDMC) with DMC, such that
the mixing does not introduce the population control bias of DMC, and requires a
much shorter projecting time than PDMC.
@ -67,7 +67,7 @@ In practice, it is quite easy to reach a regime where the number of walkers and
the projecting time are such that the simulation is stable, the bias due to the
finite projecting time is negligible and the fluctuations introduced by the
projection are small.
So the non-variational mixed estimator is not used for the FN-DMC energy
So the non-variational mixed estimator has not been used for the FN-DMC energy
in this work.
}
@ -93,18 +93,18 @@ effect of dealing with a multi-reference wave function.
\alert{\textbf{Response:}
We totally agree with the reviewer that this method would perform even better
with strongly correlated systems. But in cases such as
the G1 set, although the total FN-DMC energies are extremely low with CIPSI
trial wave functions, the energy differences are difficult to control. This is
even more true when the systems become large, and
this was a limit of the use of CIPSI wave functions for
QMC. Here, we have shown that this gap can be filled with the proposed
method. We believe that applying the RS-DFT-CIPSI to strongly
correlated systems is indeed an interesting topic, but it goes a bit
beyond the scope of the present manuscript and we prefer to leave the
study RS-DFT-CIPSI trial wave functions on strongly correlated systems
for a next study.
We agree with the reviewer that the present method would perform even better
with strongly correlated systems. However, for systems such as
the ones gathered in the G1 set, although the total FN-DMC energies are extremely low with CIPSI
trial wave functions, energy differences are difficult to control.
This comment is also valid when systems get large, and
this was a clear limitation of the use of CIPSI trial wave functions within QMC.
We have shown that this problem can be alleviated with the here-proposed method which combines RS-DFT and CIPSI.
We believe that applying the RS-DFT-CIPSI scheme to strongly
correlated systems is indeed an interesting topic, but it clearly goes
beyond the scope of the present manuscript.
Consequently, we prefer to leave the study RS-DFT-CIPSI trial wave functions on strongly correlated systems for a future study.
This has been mentioned in the concluding section of the revised manuscript.
}

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@ -992,6 +992,8 @@ value of $\mu$ can be further reduced to $0.25$~bohr$^{-1}$ to get
extremely compact wave functions at the price of less efficient
cancellations of errors.
\alert{We hope to report, in the near future, a detailed investigation of strongly-correlated systems with the present RS-DFT-CIPSI scheme.}
%%%%%%%%%%%%%%%%%%%%%%%%
\begin{acknowledgments}
A.B was supported by the U.S.~Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division, as part of the Computational Materials Sciences Program and Center for Predictive Simulation of Functional Materials.