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6 papers · 2 filters
Overcoming the critical slowing down of flat-histogram Monte Carlo simulations: Cluster updates and optimized broad-histogram ensembles
Yong Wu, Mathias Koerner, Louis Colonna-Romano +4
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-dimensio…
Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
Matthias Troyer, Uwe-Jens Wiese
Quantum Monte Carlo simulations, while being efficient for bosons, suffer from the "negative sign problem'' when applied to fermions - causing an exponential increase of the comput…
Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass
S. Alder, S. Trebst, A. K. Hartmann +1
We investigate the performance of flat-histogram methods based on a multicanonical ensemble and the Wang-Landau algorithm for the three-dimensional +/- J spin glass by measuring ro…
Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
Stefan Wessel, Fabien Alet, Matthias Troyer +1
We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parab…
Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
Philipp Werner, Klaus Voelker, Matthias Troyer +1
We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extens…
Optimizing the ensemble for equilibration in broad-histogram Monte Carlo simulations
Simon Trebst, David A. Huse, Matthias Troyer
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…