6533b837fe1ef96bd12a30c3
RESEARCH PRODUCT
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subject
Physics010308 nuclear & particles physicsHigh Energy Physics::LatticeLattice field theoryGeneral Physics and AstronomyQuantum simulatorTopology01 natural sciencesAsymptotic freedomGross–Neveu model0103 physical sciencesQuantum field theory010306 general physicsQuantum information scienceChiral symmetry breakingPhase diagramdescription
Abstract We show that a Wilson-type discretization of the Gross–Neveu model, a fermionic N -flavor quantum field theory displaying asymptotic freedom and chiral symmetry breaking, can serve as a playground to explore correlated symmetry-protected phases of matter using techniques borrowed from high-energy physics. A large- N study, both in the Hamiltonian and Euclidean formalisms, yields a phase diagram with trivial, topological, and symmetry-broken phases separated by critical lines that meet at a tri-critical point. We benchmark these predictions using tools from condensed matter and quantum information science, which show that the large- N method captures the essence of the phase diagram even at N = 1 . Moreover, we describe a cold-atom scheme for the quantum simulation of this lattice model, which would allow to explore the single-flavor phase diagram.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-12-01 | Annals of Physics |