Matthias Troyer

TL;DR: A quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice and the applicability of both high-temperature series and dynamical mean-field theory is demonstrated.

TL;DR: In this article, the authors present several improvements to the standard Trotter-Suzuki based algorithms used in the simulation of quantum chemistry on a quantum computer, and demonstrate how many operations can be parallelized, leading to a further linear decrease in the parallel depth of the circuit, at the cost of a small constant factor increase in number of qubits required.

TL;DR: Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition, implying that recent numeric studies of the Nèel antiferromagnet to valence bond solid quantum phase transition in SU( 2)-sympetric models were not accurate enough in determining the nature of the transition.

TL;DR: It is shown that this model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers undergoes a Kosterlitz-Thouless transition separating a low temperature ordered phase where dimers are aligned in columns from a high temperature critical phase with continuously varying exponents.

TL;DR: This work determines the finite-temperature phase diagram of the square lattice hard-core boson Hubbard model with nearest neighbor repulsion using quantum Monte Carlo simulations and presents the rich phase diagram with a first order transition between a solid and superfluid phase.