Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-03-15
Physics
Condensed Matter
Statistical Mechanics
3 pages, 5 figure
Scientific paper
10.1142/S0217979206036168
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 (SSE) with directed loop updates and continuous--time Diffusion Monte Carlo (CTDMC). SSE is a formulation of the finite temperature partition function as a stochastic sampling over product terms. Directed loops is a general framework to implement this stochastic sampling in a non--local fashion while maintaining detailed balance. CTDMC is well suited to finding exact ground--state properties, applicable to any lattice model not suffering from the sign problem; for a lattice model the evolution of the wave function can be performed in continuous time without any time discretization error. Both the directed loop algorithm and the CTDMC are important recent advances in development of computational methods. Here we present results for a Hubbard model for anti--ferromagnetic spin--1 bosons in one dimensions, and show evidence for a dimerized ground state in the lowest Mott lobe.
Apaja Vesa
Syljuasen Olav F.
No associations
LandOfFree
Monte Carlo simulation of boson lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Monte Carlo simulation of boson lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo simulation of boson lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-728828