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61 papers · 1 filter
Quantum Monte Carlo simulations of highly frustrated magnets in a cluster basis: The two-dimensional Shastry-Sutherland model
Andreas Honecker, Lukas Weber, Philippe Corboz +2
Quantum Monte Carlo (QMC) simulations constitute nowadays one of the most powerful methods to study strongly correlated quantum systems, provided that no "sign problem" arises. How…
Mean area of the convex hull of a run and tumble particle in two dimensions
Prashant Singh, Anupam Kundu, Satya N. Majumdar +1
We investigate the statistics of the convex hull for a single run-and-tumble particle in two dimensions. Run-and-tumble particle, also known as persistent random walker, has gained…
Machine Learning the Square-Lattice Ising Model
Burak Çivitcioğlu, Rudolf A. Römer, Andreas Honecker
Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and…
Machine learning the 2D percolation model
Djénabou Bayo, Andreas Honecker, Rudolf A. Römer
We use deep-learning strategies to study the 2D percolation model on a square lattice. We employ standard image recognition tools with a multi-layered convolutional neural network.…
SOCP-based disjunctive cuts for a class of integer nonlinear bilevel programs
Elisabeth Gaar, Jon Lee, Ivana Ljubić +2
We study a class of bilevel integer programs with second-order cone constraints at the upper level and a convex quadratic objective and linear constraints at the lower level. We de…
Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy
Alexios Christopoulos, Pierre Le Doussal, Denis Bernard +1
We consider critical one dimensional quantum systems initially prepared in their groundstate and perturbed by a smooth noise coupled to the energy density. By using conformal field…