Review#Quantum Physics, Non-Hermitian Physics, Open Quantum Systems🔬 ResearchAnalyzed: Jan 3, 2026 06:16
Lindbladian PT Phase Transitions: A Review
Analysis
This review paper provides a comprehensive overview of Lindbladian PT (L-PT) phase transitions in open quantum systems. It connects L-PT transitions to exotic non-equilibrium phenomena like continuous-time crystals and non-reciprocal phase transitions. The paper's value lies in its synthesis of different frameworks (non-Hermitian systems, dynamical systems, and open quantum systems) and its exploration of mean-field theories and quantum properties. It also highlights future research directions, making it a valuable resource for researchers in the field.
Key Takeaways
- •Defines PT symmetry in three contexts: non-Hermitian systems, dynamical systems, and Markovian open quantum systems.
- •Develops mean-field theories for L-PT phase transitions in collective-spin and bipartite bosonic systems.
- •Demonstrates the connection between L-PT transitions and continuous-time crystals and non-reciprocal phase transitions.
- •Analyzes statistical and quantum properties of steady states for specific models.
- •Discusses future research directions.
Reference
“The L-PT phase transition point is typically a critical exceptional point, where multiple collective excitation modes with zero excitation spectrum coalesce.”