Asymptotic Dynamics of Open Quantum Systems and Modular Theory
arXiv:2210.14548 · doi:10.1007/978-981-99-5884-9_5
Abstract
In this Article, several aspects of the asymptotic dynamics of finite-dimensional open quantum systems are explored. First, after recalling a structure theorem for the peripheral map, we discuss sufficient conditions and a characterization for its unitarity. Interestingly, this is not always guaranteed due to the presence of permutations in the structure of the asymptotic map. Then, we show the connection between the asymptotic map and the modular theory by Tomita and Takesaki.
13 pages
References in corpus (6)
- Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
- Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
- Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups
- Asymptotics of quantum channels
- Amending entanglement-breaking channels via intermediate unitary operations
- Feynman's Propagator in Schwinger's picture of Quantum Mechanics