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Dynamics from quantum Monte Carlo simulations and the unduly
constraining entropic prior | | Olav F. Syljuasen
; | | Date: |
29 May 2007 | | Subject: | Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech) | | Abstract: | The MaxEnt method is often employed to obtain real time dynamics from quantum
Monte Carlo simulations. It is argued here that the specific MaxEnt form of the
prior probability distribution of spectral functions is inappropriate. This is
because it is based on dubious assumptions such as the existence of finite
discrete units of spectral weight, or on the interpretation of the spectral
function as a one dimensional probability distribution. It is furthermore
argued that the MaxEnt prior does not reflect reasonable a priori knowledge
about spectral functions and constrains them unduly. Instead we argue in favor
of the Average Spectrum Method which samples the posterior probability
distribution directly with a less constraining prior. We show several examples
of its use. We consider the temperature dependence and broadening of the
Haldane gap in a spin-1 antiferromagnetic chain, the dynamic structure factor
of the bond alternating spin-1/2 Heisenberg chain with and without a magnetic
field, and line shapes of zone boundary excitations of the two dimensional
spin-1/2 Heisenberg antiferromagnet. | | Source: | arXiv, arxiv.0705.4173 | | Services: | Forum | Review | PDF | Favorites | |
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