Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories

Wiese, Uwe-Jens (2013). Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories. Annalen der Physik, 525(10-11), pp. 777-796. Wiley 10.1002/andp.201300104

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Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, AbelianU(1) lattice gauge theories arise in the description of certain quantum spin liquids. In quantum information theory, Kitaev’s toric code is a Z(2) lattice gauge theory. In particle physics, Quantum Chromodynamics (QCD), the non-Abelian SU(3) gauge theory of the strong interactions between quarks and gluons, is nonperturbatively regularized on a lattice. Quantum link models extend the concept of lattice gauge theories beyond the Wilson formulation, and are well suited for both digital and analog quantum simulation using ultracold atomic gases in optical lattices. Since quantum simulators do not suffer from the notorious sign problem, they open the door to studies of the real-time evolution of strongly coupled quantum systems, which are impossible with classical simulation methods. A plethora of interesting lattice gauge theories suggests itself for quantum simulation, which should allow us to address very challenging problems, ranging from confinement and deconfinement, or chiral symmetry breaking and its restoration at finite baryon density, to color superconductivity and the real-time evolution of heavy-ion collisions, first in simpler model gauge theories and ultimately in QCD.

Item Type:

Journal Article (Original Article)


08 Faculty of Science > Institute of Theoretical Physics
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)

UniBE Contributor:

Wiese, Uwe-Jens


500 Science > 530 Physics








Esther Fiechter

Date Deposited:

19 Jun 2014 10:23

Last Modified:

04 Jan 2015 19:51

Publisher DOI:






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