Project

Back to overview

Lattice Field Theory: from Classical to Quantum Simulation

English title Lattice Field Theory: from Classical to Quantum Simulation
Applicant Wiese Uwe-Jens
Number 140424
Funding scheme Project funding
Research institution Institut für Theoretische Physik Universität Bern
Institution of higher education University of Berne - BE
Main discipline Theoretical Physics
Start/End 01.04.2012 - 31.03.2014
Approved amount 355'523.00
Show all

Keywords (3)

lattice field theory; quantum simulators; efficient algorithms

Lay Summary (German)

Lead
Lay summary
Im Rahmen des Projekts "Lattice Field Theory: from Classical to Quantum Simulation" werden stark wechselwirkende physikalische Systeme, wie z.B. die Yang-Mills Eichtheorie der Gluonen, mit den Methoden der Gitterfeldtheorie untersucht. Die kontinuierliche Raum-Zeit wird dabei durch ein regulaeres Gitter ersetzt. Um Diskretisierungsfehler zu vermeiden, werden optimierte Diskretisierungen entwickelt. Die so regularisierte Theorie wird mit Monte Carlo Simulationen numerisch sehr genau untersucht. Dabei werden die gebunden Glueball-Zustaende sowie der String, der statische Ladungen verbindet, mit neuen und effizienten algorithmischen Methoden studiert.

Manche physikalischen Systeme sind von einem Vorzeichenproblem betroffen, und koennen daher mit Standard Monte Carlo Methoden nicht  untersucht werden.  Quantensimulatoren, analoge Quantencomputer, die andere Quantensysteme simulieren koennen, stellen hier eine vielversprechende Alternative dar. Die Quantensimulation von Gittereichtheorien stellt eine grosse Herausforderung dar, die durch eine alternative Quantenlink Formulierung ermoeglicht werden soll. Quantenlink Modelle zeichnen sich dadurch aus, dass ihre fundamentalen Freiheitsgrade eine diskrete Quantennatur besitzen, was fuer die Realisierung eines Quantensimulators mit kalten Atomen in optischen Gittern oder mit Ionen in einer Falle von grossem Vorteil ist. Um Quantensimulatoren zu validieren, werden dazu auch Simulationen auf klassischen Computern durchgefuehrt. Quantenlink Modelle sollen schliesslich auch daraufhin untersucht werden, ob sie sich als universelle topologische Quantencomputer eignen wuerden.
Direct link to Lay Summary Last update: 21.02.2013

Responsible applicant and co-applicants

Employees

Publications

Publication
Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
Banerjee D., Bogli M., Dalmonte M., Rico E., Stebler P., others (2013), Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories, in Phys. Rev. Lett. 110,, 110(12), 5303.
The (2 + 1)-d U(1) quantum link model masquerading as deconfined criticality
Banerjee D., Jiang F. -J., Widmer P., Wiese U. -J. (2013), The (2 + 1)-d U(1) quantum link model masquerading as deconfined criticality, in J.Stat.Mech., 2013, 12010-12010.
Topological Lattice Actions for the 2d XY Model
Bietenholz W., Bogli M., Niedermayer F., Pepe M., Rejon-Barrera F.G., others (2013), Topological Lattice Actions for the 2d XY Model, in JHEP, 1303, 141-141.
Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
Wiese U. -J. (2013), Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories, in Ann. Phys. (Berlin), 525(10-11), 777-796.
An estimate of heavy quark momentum diffusion coefficient in gluon plasma
Banerjee Debasish, Datta Saumen, Gavai Rajiv V., Majumdar Pushan (2012), An estimate of heavy quark momentum diffusion coefficient in gluon plasma, in PoS LATTICE 2012, SISSA, Trieste.
Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
Banerjee D., Dalmonte M., Muller M., Rico E., Stebler P., others (2012), Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench, in Phys.Rev.Lett., 109, 175302-175302.
Baryon chiral perturbation theory transferred to hole-doped antiferromagnets on the honeycomb lattice
Jiang F.-J., Kaempfer F., Bessire B., Wirz M., Hofmann C.P., others (2012), Baryon chiral perturbation theory transferred to hole-doped antiferromagnets on the honeycomb lattice, in J.Phys.Conf.Ser., IOP Publishing, Bristol.
Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models
Balog J., Niedermayer F., Pepe M., Weisz P., Wiese U.-J. (2012), Drastic Reduction of Cutoff Effects in 2-d Lattice O(N) Models, in JHEP, 1211, 140-140.
Non-trivial θ-Vacuum Effects in the 2-d O(3) Model
Bogli M., Niedermayer F., Pepe M., Wiese U.J. (2012), Non-trivial θ-Vacuum Effects in the 2-d O(3) Model, in JHEP, 1204, 117-117.
Self-adjoint Extensions for Confined Electrons:from a Particle in a Spherical Cavity to the Hydrogen Atom in a Sphere and on a Cone
Al-Hashimi M.H., Wiese U.-J. (2012), Self-adjoint Extensions for Confined Electrons:from a Particle in a Spherical Cavity to the Hydrogen Atom in a Sphere and on a Cone, in Annals Phys., 327, 2742-2759.
Study of theta-Vacua in the 2-d O(3) Model
Bogli Michael, Niedermayer Ferenc, Wiese Uwe-Jens, Pepe Michele (2012), Study of theta-Vacua in the 2-d O(3) Model, in PoS LATTICE 2012, SISSA, Trieste.
Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet
Vlasii N.D., Hofmann C.P., Jiang F.J., Wiese U.J. (2012), Symmetry Analysis of Holes Localized on a Skyrmion in a Doped Antiferromagnet, in Phys.Rev., B86, 155113-155113.
The confining string: Lattice results versus effective field theory
Wiese U.J. (2012), The confining string: Lattice results versus effective field theory, in Prog.Part.Nucl.Phys., 67, 117-121.
Walking near a conformal fixed point
de Forcrand P., Pepe M., Wiese U.J. (2012), Walking near a conformal fixed point, in PoS LATTICE 2012, SISSA, Trieste.
Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case
de Forcrand Philippe, Pepe Michele, Wiese Uwe-Jens (2012), Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case, in Phys.Rev., D86, 075006-075006.

Collaboration

Group / person Country
Types of collaboration
Prof. Shailesh Chandrasekharan, Duke University United States of America (North America)
- Publication
Prof. Wolfgang Bietenholz, UNAM Mexico City Mexico (North America)
- Publication
Prof. Kieran Holland, University of the Pacific, Stockton United States of America (North America)
- Publication
Dr. Michele Pepe, INFN Milano Italy (Europe)
- Publication

Scientific events

Active participation

Title Type of contribution Title of article or contribution Date Place Persons involved
SIGN 2014 - International Workshop on the Sign Problem in QCD and beyond Talk given at a conference Atomic Quantum Simulation of Abelian and non-Abelian Gauge Theories (Vortrag Wiese), Real-time dyanamics without Hamiltonians (Vortrag Banerjee), Non-Trivial Theta-vacuum Effects in the 2-d O(3) Model (Poster Bögli), Wilson-type U(1) Lattice..(PosWidmer) 18.02.2014 Darmstadt, Germany Banerjee Debasish; Widmer Philippe; Bögli Michael; Wiese Uwe-Jens;
Workshop on Effective Field Theory for Quantum Many Body Problems Talk given at a conference Effective Field Theories of Doped and Undoped 2-D Quantum Antiferromagnets and High-Precision Tests Based on Quantum Monte Carlo 16.01.2014 UFT, UAM-CSIC Madrid, Spain Wiese Uwe-Jens;
Indian Association for the Cultivation of Science Individual talk Crystalline Confinement 04.09.2013 Kolkata, India Banerjee Debasish;
Saha Institute of Nuclear Physics Individual talk Simulating Quantum Dynamics of Lattice Gauge Theories 28.08.2013 Kolkata, India Banerjee Debasish;
Indian Institute for Science, Education and Research Individual talk Simulating Quantum Dynamics of Lattice Gauge Theories 14.08.2013 Pune, India Banerjee Debasish;
LATTICE 2013 - 31st International Symposium on Lattice Field Theory Talk given at a conference Crystalline Confinement (Vortrag Banerjee), Quantum Simulation of Non-Abelian Lattice Gauge Theories (Vortrag Bögli), Emergence of a pseudo-Goldstone Boson in a (2+1)-d U(1) pure gauge theory (Vortrag Widmer) 29.07.2013 Mainz, Germany Widmer Philippe; Bögli Michael; Banerjee Debasish;
Twelfth Workshop on Non-Perturbative QCD Talk given at a conference Simulating Quantum Dynamics of Lattice Gauge Theories 10.06.2013 IAP, Paris, France Banerjee Debasish;
University of Minneapolis Individual talk Atomic Quantum Simulation of Abelian and Non-Abelian Gauge Theories 12.04.2013 Minneapolis, United States of America Wiese Uwe-Jens;
Massachusetts Institute of Technology Individual talk Atomic Quantum Simulation of Abelian and Non-Abelian Gauge Theories 08.04.2013 Boston, United States of America Wiese Uwe-Jens;
Workshop on Heavy Quarks and Quarkonia in thermal QCD Talk given at a conference Following heavy quarks in gluon plasma 02.04.2013 ECT, Trento, Italy Banerjee Debasish;
Triangle Nuclear Theory Colloquium, Duke University Individual talk Simulating real-time quantum dynamics of gauge theories on optical lattices 19.03.2013 Durham, United States of America Banerjee Debasish;
Lattice Club at Massachusetts Institute of Technology Individual talk Strings from Links 13.03.2013 Boston, United States of America Banerjee Debasish;
Delta 2013: Workshop on QCD, Nonequilibrium Dynamics, Complex Systems and Simulational Methods Talk given at a conference Quantum simulation of Abelian and Non-Abelian gauge theories using ultra-cold atoms in optical lattices 11.01.2013 Heidelberg, Germany Banerjee Debasish;
Quantum Information meets Statistical Mechanics (QISM 2012) Poster The SO(3) Quantum Link Model in (2+1) dimensions: Exact Diagonalization Results (Vortrag Banerjee), The U(1) Quantum Link Model in (2+1) dimensions: Exact diagonalization results (Poster Widmer) 22.09.2012 Innsbruck, Austria Widmer Philippe; Banerjee Debasish;
International Workshop Sign-Problem in QCD (SIGN 2012) Talk given at a conference Quantum simulation of real-time dynamics in Gauge Theories 19.09.2012 Regensburg, Germany Banerjee Debasish;
Theoretical Physics Seminar, Indian Association for the Cultivation of Sciences Individual talk Quantum simulation of real-time dynamics in Gauge Theories 29.08.2012 Kolkata, India Banerjee Debasish;
Free Meson Seminar, Tata Institute of Fundamental Research Individual talk Quantum simulation of real-time dynamics in Gauge Theories 16.08.2012 Mumbai, India Banerjee Debasish;
LATTICE 2012 - 30th International Symposium on Lattice Field Theory Talk given at a conference Non-trivial Theta-Vacuum Effects in the 2-d O(3) Model 24.06.2012 Cairns, Australia Bögli Michael;
INT Workshop on Gauge Field Dynamics In and Out of Equilibrium (INT-12-1) Talk given at a conference Quantum simulating real-time dynamics in gauge theories (5.4.12), Momentum diffusion of heavy quarks from Lattice QCD (11.4.12) 02.04.2012 Seattle, United States of America Banerjee Debasish;


Associated projects

Number Title Start Funding scheme
129999 Discrete Quantum Systems and Emergent Field Theories 01.04.2010 Project funding
153245 Lattice Gauge Theory: Improvement, Extension, and Dualization 01.04.2014 Project funding
153245 Lattice Gauge Theory: Improvement, Extension, and Dualization 01.04.2014 Project funding

Abstract

Nature provides us with numerous systems of many strongly coupled degrees of freedom that display highly complex dynamics. In particle physics, understanding the dynamics of quarks and gluons gives rise to great challenges. In particular, controlling systematic errors in lattice field theory calculations and developing more efficient numerical techniques are important to make progress in this direction. The proposed research aims at contributing significantly towards these goals, by developing highly optimized lattice actions and improved numerical methods for simulations on classical computers.Severe sign and complex action problems prevent the numerical investigation of numerous strongly coupled quantum systems, in particular, in particle and condensed matter physics. Quantum simulators based on ultra-cold atoms are currently being developed to address some very difficult questions in strongly correlated electron systems. Here it is proposed to pursue a similar approach in order to address very difficult problems in particle physics. Indeed, discrete quantum links suggest themselves as ideal candidates for the quantum simulation of dynamical gauge theories, for example, using trapped Rydberg atoms. While the quantum simulation of complex gauge theories such as QCD at non-zero chemical potential may be a long term goal, very interesting results are expected already for much simpler systems. In particular, quantum links, which were originally developed for particle physics applications, may be promising also in the context of topological quantum computation.
-