Progress in Diagrammatic Monte Carlo Methods for Quantum Field Theories in Particle-, Nuclear-, and Condensed Matter Physics

Europe/Berlin
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz
Description

Monte Carlo simulations are among the most powerful tools for obtaining non- perturbative results in quantum field theories. They are used for a wide range of applications in particle-, nuclear-, and condensed matter physics. In these different fields of physics applications Monte Carlo techniques have seen considerable development in recent years. With new ideas, such as rewriting the systems in terms of new degrees of freedom, serious challenges were overcome, for example problems related to the sign problem. Exchanging ideas and discussing new Monte Carlo approaches used in the various communities will certainly speed up the development of the new techniques. More specifically, the central goal of the workshop is to explore recent advances in Monte Carlo methods, especially those that use Monte Carlo sampling of diagrams. Topics we plan to cover in the workshop include:

• Dual Variables (Lattice Field Theories (LFT))

• World-line Methods (LFT, Quantum Spins and Emergent Gauge Fields)

• Diagrammatic, Fermion Bag and Auxiliary Field Methods (Strongly Correlated Fermions, LFT, Nuclear EFT)

• Tensor Networks

These methods are used and developed in the different communities we aim at bringing to the workshop (particle-, nuclear-, and condensed matter physics) and we expect that a systematic exchange and comparison of the techniques will be very beneficial for all of the mentioned fields of application. The proposed topical workshop is a follow-up to a very successful one-week program at the ECT* in Trento organized by the same organizers in October 2015. We are convinced that having this type of exchange among the Monte Carlo practitioners in the different fields on a regular 2-year basis is a major asset for all involved researchers.

 

The following key participants were invited:

  • Fakher Assaad (University of Würzburg, Germany) *
  • Falk Bruckmann (University of Regensburg, Germany) *
  • Mike Creutz (Brookhaven National Laborators, USA) *
  • Hans-Gerd Evertz (Technical University of Graz, Austria) *
  • Philippe de Forcrand (ETH Zürich & CERN, Switzerland) *
  • Timo Lähde (FZ Jülich, Germany) *
  • Owe Philipsen (Goethe University in Frankfurt, Germany) *
  • Anders Sandvik (Boston University, USA) *
  • Boris Svistunov (University of Amherst, USA) *
  • Tin Sulejmanpasic (IPM ENS Paris, France) *
  • Stefan Wessel (RWTH Aachen, Germany) *
  • Uwe-Jens Wiese (University of Bern, Switzerland) *

* confirmed

Executive Summary (PDF)
Participants (pdf)
Talk A. Sandvik (pdf)
Talk B. Svistunov (pdf)
Talk F. Bruckmann (pdf)
Talk M.C. Banuls (pdf)
Talk R. Orus (pdf)
Talk T. Lähde (pdf)
Tutorial D. Lee (pdf)
Tutorial R. Orus (pdf)
Tutorial S. Chandrasekharan (pdf)
    • 09:15 10:00
      Registration
    • 10:00 11:00
      Introductory Statements 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz

      Welcome by Prof. Matthias Neubert + first rund of introduction and discussion of the program

    • 11:30 12:15
      Introdcutory statements (continued) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 15:00 16:00
      Tutorial lecture: Deconfined criticality (R. Kaul) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Tutorial lecture: Tensor networks I (M.C. Banuls) 02.430 ()

      02.430

    • 10:05 10:50
      Tutorial lecture: Tensor networks II (R. Orus) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 16:15 17:30
      Moderated discussion: Sign problems from topological terms (F. Bruckmann, C. Gattringer, T. Sulejmanpasic) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Regular talk: Tensor networks for 1+1 dimensional lattice gauge theory (M.C. Banuls) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:05 10:50
      Regular talk: Tensor networks simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d (R. Orus) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 16:15 17:30
      Moderated discussion: Tensor networks (M.C. Banuls, R. Orus) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 19:00 22:00
      Joint dinner at "Heiliggeist" 02.430 (Mailandsgasse 11)

      02.430

      Mailandsgasse 11

    • 09:15 10:00
      Tutorial lecture: Fermion bags for Hamiltonian lattice field theories I (S. Chandrasekharan) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:05 10:50
      Regular talk: Critical points in magnets with emergent anisotropic CP^(N-1) models (R. Kaul) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 11:30 12:15
      Regular talk: Stochsatic Analytic Continuation with Optimized Features (A. Sandvik) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 15:00 15:45
      Tutorial lecture: Fermion bags for Hamiltonian lattice field theory II (S. Chandrasekharan) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Regular talk: Valence bond solids, domain walls, spin (de-) confinement and 't Hooft anomaly matching (T. Sulejmanpasic) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:05 10:50
      Regular talk: Dual variables in O(N)/CP(N-1) and in QCD with scalar quarks (F. Bruckmann) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
      slides
    • 09:15 10:00
      Registration 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:00 11:00
      Introductory statements 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 11:30 12:15
      Tutorial lecture: Stochastic solutions to quantum impurity problems (M. Wallerberger) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Trapping Centers at the Superfluid-Mott-Insulator Criticality: Transition between Charge-quantized States (B. Svistunov) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:05 10:50
      Tutorial lecture: Monte Carlo Methods for Graphene and Carbon Nanotubes (T. Lähde) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 11:30 12:15
      Tutorial lecture: Methods for few body problems (D. Lee) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 16:15 17:30
      Moderated discussion: Fermion algorithms (F. Assaad) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Diagrammatic Monte-Carlo for non-Abelian lattice field theory at weak coupling (P. Buividovich) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 15:00 15:45
      Poster mini talks 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 16:15 17:45
      Poster session 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 19:00 22:00
      Joint dinner 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Unveiling complexity with machine learning (T. Lang) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 10:05 10:50
      Tutorial lecture: Diagrammatic Monte Carlo methods I (N. Prokofiev, F. Werner) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 11:30 12:15
      Tutorial lecture: Diagrammatic Monte Carlo methods II (N. Prokofiev, F. Werner) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 14:00 15:30
      Moderated discussion: Sign problem/sign blessing (N. Prokofiev, B. Svistunov, U.-J. Wiese) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz
    • 09:15 10:00
      Dirac fermions with competing mass terms and emergent symmetry (T. Sato) 02.430

      02.430

      Mainz Institute for Theoretical Physics, Johannes Gutenberg University

      Staudingerweg 9 / 2nd floor, 55128 Mainz