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Q: Fachverband Quantenoptik und Photonik
Q 9: Quantum gases (Bosons) I
Q 9.5: Vortrag
Montag, 9. März 2020, 15:15–15:30, e214
Eigenstate versus Spectral Structure of Interacting Bosons on a Lattice — •Lukas Pausch1, Edoardo Carnio1, Alberto Rodríguez1,2, and Andreas Buchleitner1 — 1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany — 2Departamento de Física Fundamental, Universidad de Salamanca, Plaza de la Merced, E-37008 Salamanca, Spain
We study the transition from regular to chaotic spectral and eigenvector structure in the Bose-Hubbard Hamiltonian. Using the framework of generalized fractal dimensions to characterize the eigenstates' localisation properties in Fock space, we show that the change of the latter with the ratio of tunneling to interaction strength correlates with a qualitative change of the energy level statistics: In the regime of fully developed spectral chaos each individual eigenstate delocalizes over the entire Fock basis. This is corroborated by a very narrow distribution of generalized fractal dimensions, which becomes ever sharper as the Hilbert space dimension is increased.