18-24 June 2017
Palacio de Congresos
Europe/Madrid timezone
Contribution Parallel
Seminarios 8
Algorithms and Machines
Fighting topological freezing in the two-dimensional CP$^{N-1}$ model
Speakers
- Dr. Martin HASENBUSCH
Primary authors
- Dr. Martin HASENBUSCH (Humboldt-Universitaet zu Berlin)
Content
We perform Monte Carlo simulations of the CP$^{N-1}$ model on the square lattice for $N=10$, $21$, and $41$. Our focus is on the severe slowing down related to instantons. To fight this problem we employ open boundary conditions as proposed by Lüscher and Schaefer for lattice QCD. Furthermore we test the efficiency of parallel tempering of a line defect. Our results for open boundary conditions are consistent with the expectation that topological freezing is avoided, while autocorrelation times are still large. The results obtained with parallel tempering are encouraging.
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Algorithms and Machines