Redfield reduced dynamics and entanglement

Abstract

In phenomenological applications the time evolution of subsystems immersed in an external environment are sometimes described by Markovian semigroups of Redfield type that result non-positive: the appearence of negative probabilities is avoided by restricting the admissible initial conditions to those states that remain positive under the action of the dynamics. We show that this often adopted procedure may lead to physical inconsistencies in presence of entanglement.

10 pages, 1 figure

References in corpus (5)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Open Quantum Dynamics: Complete Positivity and Entanglement
• About non-positive evolutions in open system dynamics
• Slipped non-Positive Reduced Dynamics and Entanglement

Cited by in corpus (11)

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• Refined Weak Coupling Limit: Coherence, Entanglement and Non-Markovianity
• Relaxation dynamics in a Hubbard dimer coupled to fermionic baths: phenomenological description and its microscopic foundation
• Effective master equations for two accelerated qubits
• Searching for Lindbladians obeying local conservation laws and showing thermalization
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Quantum Thermodynamics in the Refined Weak Coupling Limit
• Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate
• Local generation of entanglement with Redfield dynamics