Measurement-Prepared Quantum Phases and Phase Transitions - From Ising Model to Gauge Theory

Explore measurement-prepared quantum phases and phase transitions in this 56-minute lecture by Zhen Bi at the Galileo Galilei Institute. Delve into topics ranging from the Ising model to gauge theory and beyond. Learn about quantum simulators, resource states, and the preparation of symmetry-breaking and long-range entangled states. Examine the properties of critical states, spatial correlation functions, and 3D generalizations. Investigate the mapping to statistical mechanics models, phase diagrams, and random outcomes in 2D random bond Ising models. Discover techniques for decoding hidden order and understanding the Edwards-Anderson order parameter in this comprehensive exploration of quantum physics.

Syllabus

Intro
Scope
What to Do with Quantum Simulators?
Resource States
Preparing Id Symmetry Breaking States
Preparing 2d Long-Range Entangled States 2d toric code state
A Trivial Limit of the Measurements
Decorated Domain Wall States
2 Dimensions
Properties of the Critical States Spatial correlation functions
3 Dimensional Generalizations
Mapping to Stat. Mech. Model Measurement angle as effective temperature
Phase Diagrams
Outline
Random Outcomes
2d Random Bond Ising Model
For Generic Angles
Decoding the Hidden Order
Edwards-Anderson Order Parameter
Discussion