This chapter outlines the fundamental construction of the Stochastic Series Expansion, a highly efficient and easily implementable quantum Monte Carlo method for quantum lattice models. Originally devdoi:10.1007/978-3-642-35106-8_7Roger G. Melko...
A cluster update (the ``operator-loop'') is developed within the framework of a numerically exact quantum Monte Carlo method based on the power series expansion of exp(-BH) (stochastic series expansion). The method is generally applicable to a wide class of lattice Hamiltonians for which the...
23 Expansion, divisibility and parity 54:28 Forgotten conjectures of Andrews for Nahm-type sums 49:10 Free boundary regularity for the obstacle problem 1:07:24 Opinion Dynamics and Spreading Processes on Networks 55:30 Orienteering on Supersingular Isogeny Volcanoes Using One Endomorphism 54:51 The...
Therefore, the multi-colored rooted tree analysis is applied in order to obtain a transparent representation of the expansion which is similar to the B-series expansion for solutions of ordinary differential equations in the deterministic setting. Further, some estimates for the mean-square and the ...
We use quantum Monte Carlo (stochastic series expansion) and finite-size scaling to study the quantum critical points of two S=1/2 Heisenberg antiferromagn... L Wang,KSD Beach,AW Sandvik - 《Physical Review B》 被引量: 427发表: 2011年 Theory of electrical creation of aqueous pathways acros...
Separation of variables is widely used to study evolution equations. For deterministic equations, there are two variables to separate: time and space; the result is often an orthogonal expansion of the solution in the eigenfunctions of the operator in th
The results show that, for the firstorder approximation, the results agree with those obtained from the Born approximation, for the second and thirdorder approximations, the results agree with those obtained from the Neumann series expansion method in [1]. Therefore, these results also show better...
We derive a product expansion of the exponential Lie series in terms of a Philip Hall basis for the Chen series corresponding to the stochastic jump diffusion as in Sussmann (in: C.I. Byrnes and A. Lindquist (Eds.), Theory and Applications of Nonlinear Control Systems, North-Holland, ...
Stochastic equilibrium models for generation capacity expansion. In: Bertocchi, Marida, Consigli, Giorgio, Dempster, Michael A.H. (Eds.), Stochastic Optimization Methods in Finance and Energy, volume 163 of International Series in Operations Research & Management Science. Springer, New York, 273-...
With respect to the stochastic FE methods, the perturbation method is one of the most popular analytic techniques used for analyzing systems in stochastic engineering[98]. The method approximates the solution of the perturbed system by a Taylor series expansion around the mean value of the random...