Multifractality in Fock Space of the Ground State of the Bose-Hubbard Hamiltonian

• Authors: J. Lindinger , A. Rodríguez
• Languages of publication: EN

Abstracts

EN

We present a first study of the multifractal properties of the ground state of the Bose-Hubbard Hamiltonian in Fock space. Numerical simulations of system sizes up to L=10 at unit filling suggest that multifractality is present for all values of the bosonic interaction strength. Moreover, the analysis of the generalised fractal dimensions for different densities exposes qualitatively the superfluid to Mott insulator phase transition.

Keywords

EN

multifractality; localisation in Fock space; quantum phase transitions

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 6
• Pages: 1683-1687

Dates

published

2017-12

Contributors

author

J. Lindinger

• Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104, Freiburg, Germany

author

A. Rodríguez

• Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104, Freiburg, Germany

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Identifiers

DOI

10.12693/APhysPolA.132.1683