Non-divisiblity and non-Markovianity in a Gaussian dissipative dynamics
arXiv:1208.6101 · doi:10.1016/j.physleta.2012.08.044
Abstract
We study a stochastic Schroedinger equation that generates a family of Gaussian dynamical maps in one dimension permitting a detailed exam of two different definitions of non-Markovianity: one related to the explicit dependence of the generator on the starting time, the other to the non-divisibility of the time-evolution maps. The model shows instances where one has non-Markovianity in both senses and cases when one has Markovianity in the second sense but not in the first one.
arXiv comment9 pages, 1 figure, LaTeX
References in corpus (12)
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Open System Theory: Bipartite Aspects
- Assessing non-Markovian dynamics
- Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
- Measure for the Non-Markovianity of Quantum Processes
- Non-Markovian quantum jumps
- Non-Markovian quantum dynamics: local versus non-local
- Non-Markovian dynamics of a qubit
- Quantum Semi-Markov Processes
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
- Limits in the characteristic function description of non-Lindblad-type open quantum systems
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- Effective dynamics of disordered quantum systems
- Quantum non-Markovianity: Overview and recent developments
- Witnessing non-Markovianity of quantum evolution
- Generating and protecting correlated quantum states under collective dephasing
- The dynamical role of initial correlation in the exactly solvable dephasing model
- Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
- Non-Markovianity by undersampling in quantum optical simulators
- Unification of stochastic matrices and quantum operations for N-level systems