Topological stability of anyonic quantum spin chains and formation of new topological liquids (2008)
Gils, Charlotte, Ardonne, Eddy, Trebst, Simon, Ludwig, Andreas W. W., Troyer, Matthias, Wang, Zhenghan
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons. Such a connection...
Collective States of Interacting Fibonacci Anyons (2008)
Trebst, Simon, Ardonne, Eddy, Feiguin, Adrian, Huse, David A., Ludwig, Andreas W. W., Troyer, Matthias
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy...
Strong-coupling phases of frustrated bosons on a two-leg ladder with ring exchange (2008)
Sheng, D. N., Motrunich, Olexei I., Trebst, Simon, Gull, Emanuel, Fisher, Matthew P. A.
Developing a theoretical framework to access the quantum phases of itinerant bosons or fermions in two dimensions that exhibit singular structure along surfaces in momentum space but have no...
Strong-coupling phases of frustrated bosons on a two-leg ladder with ring exchange (2008)
Sheng, D. N., Motrunich, Olexei I., Trebst, Simon, Gull, Emanuel, Fisher, Matthew P. A.
Developing a theoretical framework to access the quantum phases of itinerant bosons or fermions in two dimensions that exhibit singular structure along surfaces in momentum space but have no...
Local interactions and non-Abelian quantum loop gases (2008)
Troyer, Matthias, Trebst, Simon, Shtengel, Kirill, Nayak, Chetan
Two-dimensional quantum loop gases are elementary examples of topological ground states with Abelian or non-Abelian anyonic excitations. While Abelian loop gases appear as ground states of local,...
Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange (2008)
Sheng, D. N., Motrunich, Olexei I., Trebst, Simon, Gull, Emanuel, Fisher, Matthew P. A.
Developing a theoretical framework to access quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no...
Collective states of interacting Fibonacci anyons (2008)
Trebst, Simon, Ardonne, Eddy, Feiguin, Adrian, Huse, David A., Ludwig, Andreas W. W., Troyer, Matthias
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with ground-state degeneracy...
Optimized Broad-Histogram Ensembles for the Simulation of Quantum Systems (2007)
Wessel, Stefan, Stoop, Norbert, Gull, Emanuel, Trebst, Simon, Troyer, Matthias
The efficiency of statistical sampling in broad-histogram Monte Carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration. Here we...
Interacting Anyons in Topological Quantum Liquids: The Golden Chain (2007)
Feiguin, Adrian, Trebst, Simon, Ludwig, Andreas W. W., Troyer, Matthis, Kitaev, Alexei, Wang, Zhenghan, ...
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial...
Interacting anyons in topological quantum liquids: The golden chain (2006)
Feiguin, Adrian, Trebst, Simon, Ludwig, Andreas W. W., Troyer, Matthias, Kitaev, Alexei, Wang, Zhenghan, ...
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial...
Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets (2006)
Bergman, Doron, Alicea, Jason, Gull, Emanuel, Trebst, Simon, Balents, Leon
Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate...
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension (2006)
Trebst, Simon, Werner, Philipp, Troyer, Matthias, Shtengel, Kirill, Nayak, Chetan
We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model -- the toric code -- which is in a topological phase. The model...
Spin nematic correlations in bilinear-biquadratic S=1 spin chains (2006)
Laeuchli, Andreas, Schmid, Guido, Trebst, Simon
We present an extensive numerical study of spin quadrupolar correlations in single and coupled bilinear-biquadratic spin one chains, using several methods such as Exact Diagonalization, Density...
Optimized parallel tempering simulations of proteins (2006)
Trebst, Simon, Troyer, Matthias, Hansmann, Ulrich H. E.
We apply a recently developed adaptive algorithm that systematically improves the efficiency of parallel tempering or replica exchange methods in the numerical simulation of small proteins. Feedback...
Feedback-optimized parallel tempering Monte Carlo (2006)
Katzgraber, Helmut G., Trebst, Simon, Huse, David A., Troyer, Matthias
We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a...
Quasiparticle Dynamics in the Kondo Lattice Model at Half Filling (2005)
Trebst, Simon, Monien, Hartmut, Grzesik, Axel, Sigrist, Manfred
We study spectral properties of quasiparticles in the Kondo lattice model in one and two dimensions including the coherent quasiparticle dispersions, their spectral weights and the full...
Optimized ensemble Monte Carlo simulations of dense Lennard-Jones fluids (2005)
Trebst, Simon, Gull, Emanuel, Troyer, Matthias
We apply the recently developed adaptive ensemble optimization technique to simulate dense Lennard-Jones fluids and a particle-solvent model by broad-histogram Monte Carlo techniques. Equilibration...
d-wave resonating valence bond states of fermionic atoms in optical lattices (2005)
Trebst, Simon, Schollwoeck, Ulrich, Troyer, Matthias, Zoller, Peter
We study controlled generation and measurement of superfluid d-wave resonating valence bond (RVB) states of fermionic atoms in 2D optical lattices. Starting from loading spatial and spin patterns of...
Wu, Yong, Koerner, Mathias, Colonna-Romano, Louis, Trebst, Simon, Gould, Harvey, Machta, Jonathan, ...
We study the performance of Monte Carlo simulations that sample a broad histogram in energy by determining the mean first-passage time to span the entire energy space of d-dimensional ferromagnetic...
Computational complexity and simulation of rare events of Ising spin glasses (2004)
Pelikan, Martin, Ocenasek, Jiri, Trebst, Simon, Troyer, Matthias, Alet, Fabien
We discuss the computational complexity of random 2D Ising spin glasses, which represent an interesting class of constraint satisfaction problems for black box optimization. Two extremal cases are...
Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations (2004)
Trebst, Simon, Huse, David A., Troyer, Matthias
We present an adaptive algorithm which optimizes the statistical-mechanical ensemble in a generalized broad-histogram Monte Carlo simulation to maximize the system's rate of round trips in total...
Hierarchy, and Ising Spin Glasses (2003)
Martin Pelikan, David E. Goldberg, Jiri Ocenasek, Simon Trebst
One of the most important challenges in computational optimization is the design of advanced black-box optimization techniques that would enable automated, robust, and scalable solution to...
Linked Cluster Series Expansions for Two-Particle Bound States (2000)
Zheng, Weihong, Hamer, C. J., Singh, R. R. P., Trebst, Simon, Monien, Hartmut
We develop strong-coupling series expansion methods to study two-particle spectra of quantum lattice models. At the heart of the method lies the calculation of an effective Hamiltonian in the...
Zheng, Weihong, Hamer, C. J., Singh, R. R. P., Trebst, Simon, Monien, Hartmut
We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor...
Discussion of a spin-cluster model for the low temperature phase of NaV_2O_5 (2000)
Trebst, Simon, Sengupta, Anirvan
We discuss magnetic excitations of a spin-cluster model which has been suggested to describe the low temperature phase of alpha'-NaV_2O_5. This model fulfills all symmetry criteria proposed by recent...