Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 69: Cold Atomic Gases and Superfluids

TT 69.5: Vortrag

Freitag, 5. April 2019, 10:30–10:45, H23

Gross-Neveu-Wilson model and correlated symmetry-protected topological phases — Alejandro Bermudez¹, •Emanuele Tirrito², Matteo Rizzi³, Maciej Lewenstein⁴, and Simon Hands⁵ — ¹Departamento de Fisica Teórica, Universidad Complutense, 28040 Madrid, Spain — ²ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain — ³Johannes Gutenberg-Universität, Institut für Physik, Staudingerweg 7, 55099 Mainz, Germany — ⁴ICREA, Lluis Companys 23, 08010 Barcelona, Spain — ⁵Department of Physics, College of Science, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdom

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.