Synchronization and Non-Markovianity in open quantum systems

Abstract

Detuned systems can spontaneously achieve a synchronous dynamics and display robust quantum correlations in different local and global dissipation regimes. Beyond the Markovian limit, information backflow from the environment becomes a crucial mechanism whose interplay with spontaneous synchronization is unknown. Considering a model of two coupled qubits, one of which interacts with a dissipative environment, we show that non-Markovianity is highly detrimental for the emergence of synchronization, for the latter can be delayed and hindered because of the presence of information backflow. The results are obtained considering both a master equation approach and a collision model based on repeated interactions, which represents a very versatile tool to tailor the desired kind of environment.

10 pages, 8 figures. v2 includes discussions on a hybrid noise model relevant for superconducting qubits, and the relationship between synchronization and different measures of non-Markovianity

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Cited by in corpus (15)

• Quantum collision models: open system dynamics from repeated interactions
• Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
• Observation of quantum phase-synchronization in a nuclear spin-system
• Estimating the degree of non-Markovianity using machine learning
• A brief journey through collision models for multipartite open quantum dynamics
• Quantum non-stationary phenomena of spin systems in collision models
• Quantum thermodynamics of boundary time-crystals
• Classical-driving-assisted quantum synchronization in non-Markovian environments
• Memory in quantum processes with indefinite time direction and causal order
• Predicting the Onset of Quantum Synchronization Using Machine Learning
• Transient Dynamics and Homogenization in Incoherent Collision Models
• Quantum synchronization in an all-optical stroboscopic quantum simulator
• System size synchronization
• Signatures of Environment-Induced Quantum Synchronization Transitions via Two-body Dissipator Engineering