About non-positive evolutions in open system dynamics

Abstract

The long-time evolution of a system in interaction with an external environment is usually described by a family of linear maps g_t, generated by master equations of Block-Redfield type. These maps are in general non-positive; a widely adopted cure for this physical inconsistency is to restrict the domain of definition of the dynamical maps to those states for which g_t remains positive. We show that this prescription has to be modified when two systems are immersed in the same environment and evolve with the factorized dynamics g_t x g_t starting from an entangled initial state.

13 pages, plain-TeX

References in corpus (8)

• Non-Markovian quantum state diffusion: Perturbation approach
• From Completely Positive Maps to the Quantum Markovian Semigroup Master Equation
• Completely positive dynamics of correlated neutral kaons
• Post-Markov master equation for the dynamics of open quantum systems
• Non-Standard neutral kaons dynamics from D-brane statistics
• Complete positivity and entangled degrees of freedom
• Irreversibility and dissipation in neutral B-meson decays
• On the weak-coupling limit and complete positivity

Cited by in corpus (13)

• Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
• Open Quantum Dynamics: Complete Positivity and Entanglement
• Refined Weak Coupling Limit: Coherence, Entanglement and Non-Markovianity
• A class of 2^N x 2^N bound entangled states revealed by non-decomposable maps
• Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
• Quantum dynamical semigroups and non-decomposable positive maps
• Going beyond Local and Global approaches for localized thermal dissipation
• Quantum Thermodynamics in the Refined Weak Coupling Limit
• Slipped non-Positive Reduced Dynamics and Entanglement
• Redfield reduced dynamics and entanglement
• Bell-state preparation for electron spins in a semiconductor double quantum dot
• Non-stochastic matrix Schrödinger equation for open systems
• Local generation of entanglement with Redfield dynamics