Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model

Details Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model

2010-02-12

arxiv.org/abs/1002.2449v2

Phys. Rev. B 81, 235122 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 16 figures, minor changes, version as published

Scientific paper

10.1103/PhysRevB.81.235122

Convergence properties of the variational cluster approach with respect to the variational parameter space, cluster size, and boundary conditions of the reference system are investigated and discussed for bosonic many-body systems. Specifically, the variational cluster approach is applied to the one-dimensional Bose-Hubbard model, which exhibits a quantum phase transition from Mott to superfluid phase. In order to benchmark the variational cluster approach, results for the phase boundary delimiting the first Mott lobe are compared with essentially exact density matrix renormalization group data. Furthermore, static quantities, such as the ground state energy and the one-particle density matrix are compared with high-order strong coupling perturbation theory results. For reference systems with open boundary conditions the variational parameter space is extended by an additional variational parameter which allows for a more uniform particle density on the reference system and thus drastically improves the results. It turns out that the variational cluster approach yields accurate results with relatively low computational effort for both spectral as well as static properties of the one-dimensional Bose-Hubbard model, even at the tip of the first Mott lobe where correlation effects are most pronounced.

Affiliated with

Also associated with

No associations

Rating

Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model 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 Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Benchmarking the variational cluster approach by means of the one-dimensional Bose-Hubbard model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419491