Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

[BOOK][B] Ultracold Atoms in Optical Lattices: Simulating quantum many-body systems

M Lewenstein, A Sanpera - 2012 - books.google.com
Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

Continuous-time solver for quantum impurity models

P Werner, A Comanac, L De'Medici, M Troyer… - Physical Review Letters, 2006 - APS
We present a new continuous-time solver for quantum impurity models such as those
relevant to dynamical mean field theory. It is based on a stochastic sampling of a …

QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems part I: spin chains

P Weinberg, M Bukov - SciPost Physics, 2017 - scipost.org
We present a new open-source Python package for exact diagonalization and quantum
dynamics of spin (-photon) chains, called QuSpin, supporting the use of various symmetries …

QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins

P Weinberg, M Bukov - SciPost Physics, 2019 - scipost.org
We present a major update to QuSpin, SciPostPhys. 2.1. 003--an open-source Python
package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and …

The ALPS project release 1.3: Open-source software for strongly correlated systems

AF Albuquerque, F Alet, P Corboz, P Dayal… - Journal of Magnetism …, 2007 - Elsevier
We present release 1.3 of the ALPS (Algorithms and Libraries for Physics Simulations)
project, an international open-source software project to develop libraries and application …

The ALPS project release 2.0: open source software for strongly correlated systems

B Bauer, LD Carr, HG Evertz, A Feiguin… - Journal of Statistical …, 2011 - iopscience.iop.org
We present release 2.0 of the ALPS (Algorithms and Libraries for Physics Simulations)
project, an open source software project to develop libraries and application programs for …

Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models

P Werner, AJ Millis - Physical Review B—Condensed Matter and Materials …, 2006 - APS
A recently developed continuous time solver based on an expansion in hybridization about
an exactly solved local limit is reformulated in a manner appropriate for general classes of …

Neél order in square and triangular lattice Heisenberg models

SR White, AL Chernyshev - Physical review letters, 2007 - APS
We show that the density matrix renormalization group can be used to study magnetic
ordering in two-dimensional spin models. Local quantities should be extrapolated with the …

Interacting anyons in topological quantum liquids: The golden chain

A Feiguin, S Trebst, AWW Ludwig, M Troyer, A Kitaev… - Physical review …, 2007 - APS
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of
freedom. The simplest model for interacting anyons energetically favors neighboring anyons …