Chaos and ergodicity across the energy spectrum of interacting bosons

• URL: http://arxiv.org/abs/2009.05295v2
• Date: Wed, 20 Jan 2021 16:53:14 GMT
• Title: Chaos and ergodicity across the energy spectrum of interacting bosons
• Authors: Lukas Pausch, Edoardo G. Carnio, Alberto Rodr\'iguez, Andreas Buchleitner
• Abstract summary: We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The eigenvectors are shown to become ergodic in the thermodynamic limit, in the configuration space Fock basis, in which random matrix theory offers a remarkable description of their typical structure.
• Score: 6.528382036284375
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The eigenvectors are shown to become ergodic in the thermodynamic limit, in the configuration space Fock basis, in which random matrix theory offers a remarkable description of their typical structure. The distributions of the generalized fractal dimensions, however, are ever more distinguishable from random matrix theory as the Hilbert space dimension grows.

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