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Tensor Networks and their use for Lattice Gauge Theories
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Tensor Networks and their use for Lattice Gauge Theories
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Tensor Network States are ans\"atze for the efficient description of quantum many-body systems. Their success for one dimensional problems, together with the fact that they do not suffer from the sign problem and can address the simulation of real time evolution, have turned them into one of the most promising techniques to study strongly correlated systems. In the realm of Lattice Gauge Theories they can offer an alternative to standard lattice Monte Carlo calculations, which are suited for static properties and regimes where no sign problem appears. The application of Tensor Networks to this kind of problems is a young but rapidly evolving research field. This paper reviews some of the recent progress in this area, and how, using one dimensional models as testbench, some fundamental milestones have been reached that may pave the way to more ambitious goals.
Forward citations
Cited by 7 Pith papers
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A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
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Effects of monitoring on entanglement dynamics for $1+1$D $\mathbb Z_2$ lattice gauge theory
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