Local in time master equations with memory effects: Applicability and interpretation
arXiv:1207.2343 · doi:10.1088/0953-4075/45/15/154004
Abstract
Non-Markovian local in time master equations give a relatively simple way to describe the dynamics of open quantum systems with memory effects. Despite their simple form, there are still many misunderstandings related to the physical applicability and interpretation of these equations. Here we clarify these issues both in the case of quantum and classical master equations. We further introduce the concept of a classical non-Markov chain signified through negative jump rates in the chain configuration.
Special issue on loss of coherence and memory effects in quantum dynamics, J. Phys. B., to appear
References in corpus (10)
- An Open-System Quantum Simulator with Trapped Ions
- Assessing non-Markovian dynamics
- Non-Markovian quantum jumps
- On measures of non-Markovianity: divisibility vs. backflow of information
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Genuine quantum trajectories for non-Markovian processes
- Exact master equations for the non-Markovian decay of a qubit
- Finding the Kraus decomposition from a master equation and vice versa
- Open system dynamics with non-Markovian quantum jumps
- Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath
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- Post-Markovian quantum master equations from classical environment fluctuations
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- Non-Markovian quantum jumps from measurements in bipartite Markovian dynamics
- Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
- Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
- Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics