Lattice gauge tensor networks
| Autor: | Silvi, P. (Pietro), Rico Ortega, E. (Enrique), Calarco, T. (Tommaso), Montangero, S. (Simone) |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Quantum Physics
quantum manybody physics Statistical Mechanics (cond-mat.stat-mech) DDC 530 / Physics High Energy Physics::Lattice High Energy Physics - Lattice (hep-lat) Aucun FOS: Physical sciences classical simulation of quantum models lattice gauge invariant field theory tensor networks Physics and Astronomy (all) quantum many-body physics High Energy Physics - Lattice 02.70.-c 05.10.-a 11.15.Ha ddc:530 Quantum Physics (quant-ph) Lattice gauge theories Condensed Matter - Statistical Mechanics Gittereichtheorie |
| DOI: | 10.18725/oparu-46157 |
| Popis: | We present a unified framework to describe lattice gauge theories by means of tensor networks: this framework is efficient as it exploits the high amount of local symmetry content native of these systems describing only the gauge invariant subspace. Compared to a standard tensor network description, the gauge invariant one allows to speed-up real and imaginary time evolution of a factor that is up to the square of the dimension of the link variable. The gauge invariant tensor network description is based on the quantum link formulation, a compact and intuitive formulation for gauge theories on the lattice, and it is alternative to and can be combined with the global symmetric tensor network description. We present some paradigmatic examples that show how this architecture might be used to describe the physics of condensed matter and high-energy physics systems. Finally, we present a cellular automata analysis which estimates the gauge invariant Hilbert space dimension as a function of the number of lattice sites and that might guide the search for effective simplified models of complex theories. 28 pages, 9 figures |
| Databáze: | OpenAIRE |
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