Quantum Simulators and Processors Based on Rydberg Atom Arrays

Explore a comprehensive lecture on quantum simulators and processors utilizing Rydberg atom arrays. Delve into the atom-by-atom approach for building quantum matter, the dipole blockade concept, and high-fidelity entanglement techniques. Examine the experimental setup and learn about quantum simulators for Ising-type spin models. Investigate adiabatic preparation of ordered states, engineering broken symmetries, and benchmarking quantum simulators. Discover new physics in non-equilibrium many-body quantum dynamics, including the Kibble-Zurek Mechanism and its quantum predictions for isolated systems. Analyze scaling exponents for exotic phases and across all phases. Gain insights into the new era of programmable quantum simulators, optimization problems like maximum independent sets, and new trapping schemes for 2D arrays. Conclude with a summary and discussion on the dynamics of large systems and their understanding.

Intro
Quantum processors based on cold neutral atoms
Atom-by-atom approach for building quantum matter Removing entropy by observation
Experimental setup
The dipole blockade: "coherent constraint"
Rydberg blockade in arrays
High-fidelity entanglement
Quantum simulator for Ising-type spin model
Adiabatic preparation of ordered states
Engineering broken symmetries by tuning the interactions
Benchmarking quantum simulator: Z order
Phase transition in a 51 atoms array
New physics: non-equilibrium many-body quantum dynamics
Kibble-Zurek Mechanism
Quantum Kibble-Zurek prediction for isolated systems
Scaling of the correlation length in Zz-order
Universality and physics beyond Kibble-Zurek
Scaling exponents for exotic phases
Scaling exponents across all phases
Outlook: new era of programmable quantum simulators
Optimization problem: maximum independent set
New trapping schemes: towards 2D arrays
Summary
Dynamics of large systems: understanding