Topics and Agenda

 


Our international workshop will bring together experts on development and implementation of state-of-the-art algorithms for the simulation of correlated quantum systems.  The simulation of interacting quantum systems has always been one of the grand challenges for computational physics, with important questions such as:


  1. Bullet What is the mechanism behind superconductivity in the high-temperature superconductors?

  2. Bullet What is the phase diagram of strongly correlated materials? How can we understand the physics of materials close to a Mott transitions?

  3. Bullet Do exotic phases such as "supersolids" exist?

  4. Bullet Are there materials or realistic models exhibiting topological phases and nonabelian anyonic excitations, which could be used to implement topological quantum computers?

Advances in numerical methods applied to quantum systems move at a rapid pace, as do increases in available computing power. For a given problem a variety of numerical techniques are available; some are outdated and some not. What techniques should one use? We shall focus our workshop on quantum condensed matter algorithms and codes being developed, including significant advances in dynamical mean field theory, quantum Monte Carlo, density matrix renormalization group, etc. Our workshop will address three general topics to streamline access to such methods:


  1. Bullet State-of-the-art algorithms for quantum lattice models

  2. Bullet Challenges and obstacles for simulations and scaling to petaflop-scale machines

  3. Bullet Computational provenance


Methods that will be discussed include, but are not limited to:


  1. Bullet Exact diagonalization

  2. Bullet Classical and quantum Monte Carlo methods for lattice and continuum problems

  3. Bullet Density Matrix Renormalization Group (DMRG)

  4. Bullet Matrix product states (MPS), project entangled pair states (PEPS) and related methods

  5. Bullet Series expansion

  6. Bullet Dynamical mean field theory (DMFT)


Besides scientific presentations and discussion, a substantial portion of the workshop will be devoted to jointly preparing a document summarizing our findings for various simulation issues:


  1. Bullet State-of-the-art in algorithms for quantum lattice models

  2. Bullet Challenges when scaling to petaflop-scale machines

  3. Bullet New applications enabled by modern algorithms and supercomputers

  4. Bullet Computational provenance in quantum condensed matter


The purpose of this document will be both to guide further developments and to provide a reference to other groups entering the field.