Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model

Area of Science:

• Statistical Mechanics
• Condensed Matter Physics
• Quantum Optics

Background:

• Kinetically constrained models (KCMs) exhibit complex dynamics and phase transitions.
• Rydberg atoms in a "facilitated" regime provide inspiration for novel KCMs.
• Standard Fredrickson-Andersen (FA) model is a well-studied KCM.

Purpose of the Study:

• Introduce and analyze the XOR-F model, a novel 1D classical stochastic KCM.
• Explore the dynamics of the XOR-F model and its relation to exclusion processes.
• Investigate phase transitions between active and inactive dynamical phases in the XOR-F model.

Main Methods:

• Domain wall representation to describe XOR-F model dynamics.
• Numerical tensor network methods for detailed analysis.
• Study of dynamical large deviation regime.

Main Results:

• The XOR-F model displays relaxation dynamics influenced by large fluctuations.
• Phase transitions between active and inactive dynamical phases are observed.
• The model's dynamics are linked to simple exclusion processes.

Conclusions:

• The XOR-F model offers a new framework for studying KCM dynamics.
• Large dynamical fluctuations are key to understanding phase transitions in KCMs.
• Tensor network methods are effective for analyzing KCMs in the large deviation regime.