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.
arXiv comment12pp. review style
References in corpus (70)
- Berry Phase Effects on Electronic Properties
- The density-matrix renormalization group in the age of matrix product states
- Cold bosonic atoms in optical lattices
- Probing many-body dynamics on a 51-atom quantum simulator
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Many-body localization, thermalization, and entanglement
- Dynamical Decoupling of Open Quantum Systems
- Measuring entanglement entropy through the interference of quantum many-body twins
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Time-evolution methods for matrix-product states
- The European Quantum Technologies Roadmap
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Simulating Lattice Gauge Theories within Quantum Technologies
- Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Non-standard Hubbard models in optical lattices: a review
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- On solving quantum many-body problems by experiment
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
- Simulations of non-Abelian gauge theories with optical lattices
- The mass spectrum of the Schwinger model with Matrix Product States
- Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
- End states, ladder compounds, and domain wall fermions
- Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Optical Abelian Lattice Gauge Theories
- Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
- Lecture Notes of Tensor Network Contractions
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Matrix product states for gauge field theories
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
- Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
- Observation of Domain Wall Confinement and Dynamics in a Quantum Simulator
- An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
- Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
- Digital quantum simulation of lattice gauge theories with dynamical fermionic matter
- Emerging 2D Gauge theories in Rydberg configurable arrays
- Quantum entanglement theory in the presence of superselection rules
- Nonlocal resources in the presence of Superselection Rules
- Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
- Confinement and lack of thermalization after quenches in the bosonic Schwinger model
- Schwinger pair production with ultracold atoms
- Quantum simulation of lattice gauge theories using Wilson fermions
- Implementing quantum electrodynamics with ultracold atomic systems
- Confined phases of one-dimensional spinless fermions coupled to gauge theory
- Reliability of lattice gauge theories
- Symmetry-Breaking Topological Insulators in the Bose-Hubbard Model
- Strongly Correlated Bosons on a Dynamical Lattice
- Toolbox for Abelian lattice gauge theories with synthetic matter
- Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
- Intertwined Topological Phases induced by Emergent Symmetry Protection
- Dynamical solitons and boson fractionalization in cold-atom topological insulators
- Robust topological order in fermionic gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
- From the Jaynes-Cummings model to non-Abelian gauge theories: a guided tour for the quantum engineer
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
- solitons in intertwined topological phases
- Topological Devil's staircase in atomic two-leg ladders
- Exploring helical phases of matter in bosonic ladders
- The rotor Jackiw-Rebbi model: a cold-atom approach to chiral symmetry restoration and quark confinement