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The Stochastic Series Expansion (SSE) technique is a quantum Monte Carlo method that is especially efficient for many quantum spin systems and boson models. It was the first generic method free from the discretization errors affecting…

强关联电子 · 物理学 2019-09-25 Anders W. Sandvik

The stochastic series expansion (SSE) algorithm is one of the most powerful quantum Monte Carlo methods and has been extensively applied to the study of quantum many body systems. Its efficiency is particularly enhanced with a deterministic…

强关联电子 · 物理学 2026-04-07 Liuyun Dao , Yan-Cheng Wang , Hui Shao

A quantum implementation of the Stochastic Series Expansion (SSE) Monte Carlo method is proposed, and it is shown that quantum SSE offers significant advantages over classical implementations of SSE. In particular, for problems where…

量子物理 · 物理学 2020-10-05 Kok Chuan Tan , Dhiman Bowmick , Pinaki Sengupta

The Quantum-Monte-Carlo technique known as the Stochastic Series Expansion (SSE) relies on a crucial no-branching condition: the SSE sampling is carried out in the computational basis, and the no-branching assumption ensures that…

量子物理 · 物理学 2025-07-04 Bhilahari Jeevanesan

The Stochastic Series Expansion (SSE) quantum Monte Carlo method with directed loops is very efficient for spin and boson systems. The Heisenberg mode l and its generalizations, such as the $JQ_2$ model, are extensively simulated via this…

强关联电子 · 物理学 2024-01-24 Lu Liu

In this paper we develop a cluster-variant of the Stochastic Series expansion method (SCSE). For certain systems with longer-range interactions the SCSE is considerably more efficient than the standard implementation of the Stochastic…

凝聚态物理 · 物理学 2009-11-10 Kim Louis , C. Gros

Recently, the stochastic series expansion (SSE) has been proposed as a powerful MC-method, which allows simulations at low $T$ for quantum-spin systems. We show that the SSE allows to compute the magnetic conductance for various…

凝聚态物理 · 物理学 2009-11-10 Kim Louis , Claudius Gros

The efficiency of statistical sampling in broad-histogram Monte Carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration. Here we describe how a recently developed feedback…

统计力学 · 物理学 2007-12-13 Stefan Wessel , Norbert Stoop , Emanuel Gull , Simon Trebst , Matthias Troyer

We extend the single-mode Approximation (SMA) into quantum Monte Carlo simulations to provides an efficient and fast method to obtain the dynamical dispersion of quantum many-body systems. Based on stochastic series expansion (SSE) and its…

强关联电子 · 物理学 2024-11-25 Yan Liu , Kemeng Wu , Shutao Liu , Yan-Cheng Wang , Jie Lou , Zheng Yan , Yan Chen

We describe a stochastic series expansion (SSE) quantum Monte Carlo method for a two-dimensional S=1/2 XY-model (or, equivalently, hard-core bosons at half-filling) which in addition to the standard pair interaction J includes a…

统计力学 · 物理学 2009-11-10 Roger G. Melko , Anders W. Sandvik

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of the power series expansion of the density…

统计力学 · 物理学 2007-05-23 Anders W. Sandvik

In the quantum Monte Carlo (QMC) method, the Pseudo-Random Number Generator (PRNG) plays a crucial role in determining the computation time. However, the hidden structure of the PRNG may lead to serious issues such as the breakdown of the…

强关联电子 · 物理学 2024-03-12 Dong-Xu Liu , Wei Xu , Xue-Feng Zhang

We show how the effects of large numbers of measurements on many-body quantum ground and thermal states can be studied using Quantum Monte Carlo (QMC). Density matrices generated by measurement in this setting feature products of many local…

统计力学 · 物理学 2026-05-12 Kriti Baweja , David J. Luitz , Samuel J. Garratt

The Stochastic Series Expansion (SSE) method along with resummation over the spin or flavor values maps the partition function of a quantum antiferromagnet to a closely-packed loop gas model in one higher dimension. Earlier work by Nahum et…

统计力学 · 物理学 2023-06-19 Vedant Motamarri

Boson lattices are theoretically well described by the Hubbard model. The basic model and its variants can be effectively simulated using Monte Carlo techniques. We describe two newly developed approaches, the Stochastic Series Expansion…

统计力学 · 物理学 2009-11-11 Vesa Apaja , Olav F. Syljuasen

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…

强关联电子 · 物理学 2009-10-31 Anders W. Sandvik

Sequential Monte Carlo (SMC) algorithms represent a suite of robust computational methodologies utilized for state estimation and parameter inference within dynamical systems, particularly in real-time or online environments where data…

The quantum jump approach, where pairs of state vectors follow Stochastic Schroedinger Equation (SSE) in order to treat the exact quantum dynamics of two interacting systems, is first described. In this work the non-uniqueness of such…

量子物理 · 物理学 2009-02-05 Denis Lacroix

This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the…

量子物理 · 物理学 2017-11-08 Jason F Ralph , Simon Maskell , Kurt Jacobs

In recent years we have witnessed a growing interest in various non-equilibrium systems described in terms of stochastic non-linear field theories. In some of those systems like the KPZ and related models, the interesting behavior is in the…

无序系统与神经网络 · 物理学 2008-04-21 Moshe Schwartz , Eytan Katzav
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