lattice field theory; quantum simulators; efficient algorithms
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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
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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
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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.
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PoS LATTICE 2012, SISSA, Trieste.
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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.