Tensor Networks for Lattice Gauge Theories and Atomic Quantum Simulation
By E. Rico, T. Pichler, Marcello Dalmonte, Peter Zoller, Simone Montangero. 2013
146 citations recorded by the source corpus.
We show that gauge invariant quantum link models, Abelian and non-Abelian, can be exactly described in terms of tensor networks states. Quantum link models represent an ideal bridge between high-energy to cold atom physics, as they can be used in cold-atoms in optical lattices to study lattice gauge theories. In this framework, we characterize the phase diagram of a (1+1)-d quantum link version of the Schwinger model in an external classical background electric field: the quantum phase transition from a charge and parity ordered phase with non-zero electric flux to a disordered one with a net zero electric flux configuration is described by the Ising universality class.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/ade013acb061aa80c1645a7f12e60c8231d57e97
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In Atomic and Molecular Physics, and Optics
- Frank Verstraete
- Simone Montangero
- Marcello Dalmonte
- J. Haegeman
- Norbert Schuch
- J. I. Cirac
- Peter Zoller
- Karel Van Acoleyen
In Condensed Matter Physics
- Frank Verstraete
- J. Haegeman
- Norbert Schuch
- Simone Montangero
- Marcello Dalmonte
- J. I. Cirac
- Peter Zoller
- E. Rico
Citations in the corpus
- Lattice gauge theory simulations in the quantum information era (2016, background): “The first application of gauge invariant TN has been the study of the phase diagram of the simplest non trivial lattice gauge theory with matter fields in the quantum link representation, the U(1) gauge theory or QED in 1+1d presented in the previous sections [36].”
- Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems (2014, background): “[13] E.”
- Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks (2015, methodology): “This additional constraint can be satisfied by modifying the tensor structure of the many-body state ansatz, that is by introducing a projector which acts on nearest-neighbor lattice sites and enforces the correct number of rishons on the link [31, 34].”