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Green Function Monte Carlo with Stochastic Reconfiguration

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arxiv cond-mat/9803107 v1 pith:RLCDC6TV submitted 1998-03-10 cond-mat

classification cond-mat
keywords methodbiascarlofunctiongreenmontereconfigurationsign
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A new method for the stabilization of the sign problem in the Green Function Monte Carlo technique is proposed. The method is devised for real lattice Hamiltonians and is based on an iterative ''stochastic reconfiguration'' scheme which introduces some bias but allows a stable simulation with constant sign. The systematic reduction of this bias is in principle possible. The method is applied to the frustrated J1-J2 Heisenberg model, and tested against exact diagonalization data. Evidence of a finite spin gap for J2/J1 >~ 0.4 is found in the thermodynamic limit.

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  1. A matrix free action of the Ashtekar-Lewandowski volume operator of loop quantum gravity

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    Develops a matrix-free SRQ-based action for the AL volume operator that exactly preserves the kernel and supports large-scale Monte Carlo and spectral estimates without dense matrices.

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