Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 18: Quantum Information: Concepts and Methods III
Q 18.4: Vortrag
Dienstag, 1. März 2016, 11:45–12:00, e214
Tree Tensor Networks at work: a study of 1D disordered Bose-Hubbard model — Matthias Gerster1, •Matteo Rizzi2, Ferdinand Tschirsich1, Pietro Silvi1, Rosario Fazio3,4, and Simone Montangero1,5 — 1Institute for Complex Quantum Systems, Ulm University, Germany — 2Johannes Gutenberg-Universität, Mainz, Germany — 3ICTP, Trieste, Italy — 4NEST, Scuola Normale Superiore & Istituto Nanoscienze CNR, Pisa, Italy — 5Center for Integrated Quantum Science and Technology (IQST)
We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid stiffness and superfluid correlations close to the superfluid to glass transition line, obtaining accurate locations of the critical points. By studying the statistics of the exponent of the power-law decay of the correlation, we determine the boundary between the superfluid region and the Bose glass phase in the regime of strong disorder and in the weakly interacting region, not explored numerically before. In the former case our simulations are in agreement with previous Monte Carlo calculations.