Accessing the dynamics of large many-particle systems using Stochastic Series Expansion

Details Accessing the dynamics of large many-particle systems using Stochastic Series Expansion Accessing the dynamics of large many-particle systems using Stochastic Series Expansion

2001-06-22

arxiv.org/abs/cond-mat/0106471v1

Phys. Rev. E 64, 066701 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

11 RevTeX pages including 7 figures and 5 tables

Scientific paper

10.1103/PhysRevE.64.066701

The Stochastic Series Expansion method (SSE) is a Quantum Monte Carlo (QMC) technique working directly in the imaginary time continuum and thus avoiding "Trotter discretization" errors. Using a non-local "operator-loop update" it allows treating large quantum mechanical systems of many thousand sites. In this paper we first give a comprehensive review on SSE and present benchmark calculations of SSE's scaling behavior with system size and inverse temperature, and compare it to the loop algorithm, whose scaling is known to be one of the best of all QMC methods. Finally we introduce a new and efficient algorithm to measure Green's functions and thus dynamical properties within SSE.

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