# Stochastic Green function algorithm.

@article{Rousseau2008StochasticGF, title={Stochastic Green function algorithm.}, author={V. G. Rousseau}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2008}, volume={77 5 Pt 2}, pages={ 056705 } }

We present a stochastic Green function algorithm designed for bosons on lattices. This quantum Monte Carlo algorithm is independent of the dimension of the system, works in continuous imaginary time, and is exact (no error beyond statistical errors). Hamiltonians with several species of bosons (and one-dimensional Bose-Fermi Hamiltonians) can be easily simulated. Some important features of the algorithm are that it works in the canonical ensemble and gives access to n -body Green functions.

#### 27 Citations

Directed update for the stochastic Green function algorithm.

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- 2008

This work proposes here a modified version of the update scheme that keeps the simplicity and generality of the original SGF algorithm, and significantly enhances its efficiency. Expand

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- Physics
- 2021

Abstract Using Quantum Monte Carlo algorithm, we study the quantum behaviors of the hardcore bosons with finite-range interactions in one-dimensional optical lattices, such finite-range interactions… Expand

Quantum annealing – foundations and frontiers

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- 2015

We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are discussed. We… Expand

Efficient iterative diagonalization of the Bose–Hubbard model for ultracold bosons in a periodic optical trap

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- 2012

Abstract Composite electronic systems are sometimes modeled by the Bose–Hubbard Hamiltonian. Iterative solution of this model, yielding a handful of the lowest-lying states is presented. The effect… Expand

Fermion-induced decoherence of bosons in optical lattices

- Physics
- 2013

Bose-Fermi mixtures with attractive Bose-Fermi interactions in one-dimensional optical lattices are studied by using Quantum Monte Carlo simulations of an extended Bose-Fermi Hubbard model. We first… Expand

Quantum Monte Carlo study of the Rabi-Hubbard model

- Physics
- 2016

Abstract
We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of a
one dimensional Rabi-Hubbard model. The model consists of a lattice of Rabi systems
coupled by a… Expand

Mott Transition of Bose-Fermi Mixtures in Optical Lattices Induced by Attractive Interactions

- Physics
- 2013

We numerically studied Bose–Fermi mixtures in one-dimensional optical lattices using a modified Bose–Fermi–Hubbard model. We derived the modified Bose–Fermi–Hubbard model in a tight-binding… Expand

Variational Monte-Carlo study of the extended Bose-Hubbard model with short- and infinite-range interactions

- Physics
- The European Physical Journal B
- 2019

In this paper, we study the two-dimensional Bose-Hubbard model with short- and long-range interactions in the canonical ensemble. Using a Variational Monte-Carlo method, we obtain the phase diagrams… Expand

Cluster Bose Metals

- Physics
- 2016

Quantum phases of matter are usually characterised by broken symmetries. Identifying physical mechanisms and microscopic Hamiltonians that elude this paradigm is one of the key present challenges in… Expand

Finite temperature phase diagram of spin-1/2 bosons in two-dimensional optical lattice

- Physics
- 2012

AbstractWe study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations and focus on finite temperature effects. We show in two different… Expand

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