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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 1 — Jan. 12, 2004
  • pp: 42–54

Variational ansatz for the superfluid Mott-insulator transition in optical lattices

J. J. García-Ripoll, J. I. Cirac, P. Zoller, C. Kollath, U. Schollwöck, and J. von Delft  »View Author Affiliations


Optics Express, Vol. 12, Issue 1, pp. 42-54 (2004)
http://dx.doi.org/10.1364/OPEX.12.000042


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Abstract

We develop a variational wave function for the ground state of a one-dimensional bosonic lattice gas. The variational theory is initally developed for the quantum rotor model and later on extended to the Bose-Hubbard model. This theory is compared with quasi-exact numerical results obtained by Density Matrix Renormalization Group (DMRG) studies and with results from other analytical approximations. Our approach accurately gives local properties for strong and weak interactions, and it also describes the crossover from the superfluid phase to the Mott-insulator phase.

© 2004 Optical Society of America

OCIS Codes
(000.2690) General : General physics
(000.3860) General : Mathematical methods in physics

ToC Category:
Focus Issue: Cold atomic gases in optical lattices

History
Original Manuscript: November 7, 2003
Revised Manuscript: December 1, 2003
Published: January 12, 2004

Citation
Juan Jose García-Ripoll, J. Cirac, P. Zoller, C. Kollath, U. Schollwöck, and J. von Delft, "Variational ansatz for the superfluid Mott-insulator transition in optical lattices," Opt. Express 12, 42-54 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-1-42


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