Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-10-17
Physical Review A 75, 062113 (2007)
Physics
Condensed Matter
Statistical Mechanics
RevTex 4, 12 figures (revised and updated); to appear in Physical Review A
Scientific paper
We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large systems. It is conceptually simple and easy to implement, and allows to investigate the properties unavailable through mean field approximations, such as one- and two-particle reduced density matrices of the groundstate. As an example, we model a weakly interacting 1D Bose gas in a harmonic trap. Compared to the mean-field Gross-Pitaevskii approximation, our method provides a more accurate description of the groundstate one-particle density matrix. We have also obtained the Hall-Post lower bounds for the groundstate energy of the gas. All results have been obtained by the straightforward numerical diagonalization of the Hamiltonian matrix.
Kijowski Jerzy
Werpachowski Roman
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