Cold atoms meet lattice gauge theory
arXiv:2106.03063 · doi:10.1098/rsta.2021.0064
Abstract
The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more ``accessible'' and easier to manipulate for experimentalists, but this ``substitution'' also leads to new physics and novel phenomena. It allows us to gain new information about among other things confinement and the dynamics of the deconfinement transition. We will thus consider bosons in dynamical lattices corresponding to the bosonic Schwinger or Z Bose-Hubbard models. Another central idea of this review concerns atomic simulators of paradigmatic models of particle physics theory such as the Creutz-Hubbard ladder, or Gross-Neveu-Wilson and Wilson-Hubbard models. Finally, we will briefly describe our efforts to design experimentally friendly simulators of these and other models relevant for particle physics.
12pp. review style
References in corpus (11)
- The density-matrix renormalization group in the age of matrix product states
- Probing many-body dynamics on a 51-atom quantum simulator
- Non-standard Hubbard models in optical lattices: a review
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Optical Abelian Lattice Gauge Theories
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Digital quantum simulation of lattice gauge theories with dynamical fermionic matter
- Implementing quantum electrodynamics with ultracold atomic systems
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian