The paper explores the critical phenomena in open quantum systems using a Rydberg quantum simulator. The authors focus on the Ising universality class in both one-dimensional (1D) and two-dimensional (2D) systems, aiming to observe power-law correlations and extract scaling dimensions. They achieve this by adiabatically preparing critical ground states in both systems, accounting for the openness of the quantum system through a single phenomenological length scale, ξ_d. In 1D, they observe a rapid decay of correlations, which is attributed to decoherence, and extract the scaling dimension Δ_id = 1/8. In 2D, they find a decoupling between phase transitions in the bulk and on the boundary, identifying two distinct boundary universality classes. The study demonstrates that direct adiabatic preparation of critical states in quantum simulators can complement other approaches to studying quantum criticality, such as the Kibble-Zurek mechanism or digital quantum circuits.The paper explores the critical phenomena in open quantum systems using a Rydberg quantum simulator. The authors focus on the Ising universality class in both one-dimensional (1D) and two-dimensional (2D) systems, aiming to observe power-law correlations and extract scaling dimensions. They achieve this by adiabatically preparing critical ground states in both systems, accounting for the openness of the quantum system through a single phenomenological length scale, ξ_d. In 1D, they observe a rapid decay of correlations, which is attributed to decoherence, and extract the scaling dimension Δ_id = 1/8. In 2D, they find a decoupling between phase transitions in the bulk and on the boundary, identifying two distinct boundary universality classes. The study demonstrates that direct adiabatic preparation of critical states in quantum simulators can complement other approaches to studying quantum criticality, such as the Kibble-Zurek mechanism or digital quantum circuits.