Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices

Details Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices

2010-05-11

arxiv.org/abs/1005.1915v3

Phys. Rev. A 82, 043634 (2010)

Physics

Condensed Matter

Quantum Gases

14 pages, 14 figures

Scientific paper

10.1103/PhysRevA.82.043634

We study the ground-state properties of trapped inhomogeneous systems of hardcore bosons in two- and three-dimensional lattices. We obtain our results both numerically, using quantum Monte Carlo techniques, and via several analytical approximation schemes, such as the Gutzwiller-mean-field approach, a cluster-mean-field method and a spin-wave analysis which takes quantum fluctuations into account. We first study the homogeneous case, for which simple analytical expressions are obtained for all observables of interest, and compare the results with the numerical ones. We obtain the equation of state of the system along with other thermodynamic properties such as the free energy, kinetic energy, superfluid density, condensate fraction and compressibility. In the presence of a trap, superfluid and insulating domains coexist in the system. We show that the spin-wave-based method reproduces the quantum Monte-Carlo results for global as well as for local quantities with a high degree of accuracy. We also discuss the validity of the local density approximation in those systems. Our analysis can be used to describe bosons in optical lattices where the onsite interaction U is much larger than the hopping amplitude t.

Affiliated with

Also associated with

No associations

Rating

Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional 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 Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-385675