Multifractality in Fock Space of the Ground State of the Bose-Hubbard Hamiltonian |
| J. Lindinger and A. RodrÃguez
Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104, Freiburg, Germany |
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| 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. |
DOI: 10.12693/APhysPolA.132.1683 topics: multifractality, localisation in Fock space, quantum phase transitions |