Process-chain approach to high-order perturbation calculus for quantum lattice models

André Eckardt
Phys. Rev. B 79, 195131 – Published 28 May 2009

Abstract

A method based on Rayleigh-Schrödinger perturbation theory is developed that allows to obtain high-order series expansions for ground-state properties of quantum lattice models. The approach is capable of treating both lattice geometries of large spatial dimensionalities d and on-site degrees of freedom with large state space dimensionalities. It has recently been used to accurately compute the zero-temperature phase diagram of the Bose-Hubbard model on a hypercubic lattice, up to arbitrary large filling and for d=2, 3, and greater [Teichmann et al., Phys. Rev. B 79, 100503(R) (2009)].

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  • Received 14 November 2008

DOI:https://doi.org/10.1103/PhysRevB.79.195131

©2009 American Physical Society

Authors & Affiliations

André Eckardt*

  • ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain

  • *andre.eckardt@icfo.es

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Issue

Vol. 79, Iss. 19 — 15 May 2009

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