title: Recent developments in quantum Monte Carlo simulations with applications for cold gases.
abstract: This is a review of recent developments in Monte Carlo methods in the field of ultracold gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo simulations with worm updates and show the excellent agreement with cold atom experiments. We also review recent progress in simulating bosonic systems with long-range interactions, disordered bosons, mixtures of bosons and spinful bosonic systems. For repulsive fermionic systems, determinantal methods at half filling are sign free, but in general no sign-free method exists. We review the developments in diagrammatic Monte Carlo for the Fermi polaron problem and the Hubbard model, and show the connection with dynamical mean-field theory. We end the review with diffusion Monte Carlo for the Stoner problem in cold gases.
authors.affiliation: Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, University of Munich, Theresienstrasse 37, 80333 Munich, Germany. Lode.Pollet@lmu.de
authors.forename: Lode
authors.initials: L
authors.lastname: Pollet
mesh_terms: D003080:Cold Temperature; D003198:Computer Simulation; D005740:Gases / Q000737:chemistry*; D008956:Models, Chemical; D008958:Models, Molecular; D009010:Monte Carlo Method; D011789:Quantum Theory
chemical_list: D005740:Gases