141 citations · 424 across the 8 of their papers we have counts for
4 papers · 1 filter
Superfluid to Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation
Lucas Kohn, Pietro Silvi, Matthias Gerster +4
We revisit here the Kibble-Zurek mechanism for superfluid bosons slowly driven across the transition towards the Mott-insulating phase. By means of a combination of the Time-Depend…
Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
Werner Weiss, Matthias Gerster, Daniel Jaschke +2
We use tensor network methods - Matrix Product States, Tree Tensor Networks, and Locally Purified Tensor Networks - to simulate the one dimensional Bose-Hubbard model for zero and…
Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism
Matthias Gerster, Benedikt Haggenmiller, Ferdinand Tschirsich +2
We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one o…
The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
Pietro Silvi, Ferdinand Tschirsich, Matthias Gerster +4
We present a compendium of numerical simulation techniques, based on tensor network methods, aiming to address problems of many-body quantum mechanics on a classical computer. The…