Geometrical characterization of non-Markovianity

By S. Lorenzo, F. Plastina, Mauro Paternostro. 2013

198 citations recorded by the source corpus.

We introduce a new tool for the quantitative characterisation of the departure form Markovianity of a given dynamical process. Our tool can be applied to a generic $N$-level system and extended straightforwardly to Gaussian continuous-variable systems. It is linked to the change of the volume of physical states that are dynamically accessible to a system and provides qualitative expectations in agreement with some of the analogous tools proposed so far. We illustrate its prediticve power by tackling a few canonical examples.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/74f3a198f726dbc10e8541d9aacd2f6c184c7ebe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Bassano Vacchini
2. H. Breuer
3. Elsi-Mari Laine
4. Jyrki Piilo
5. Daniel Alonso
6. I. D. Vega
7. Li Li
8. Michael J. W. Hall

In Atomic and Molecular Physics, and Optics

1. Bassano Vacchini
2. Jyrki Piilo
3. Elsi-Mari Laine
4. H. Breuer
5. Daniel Alonso
6. I. D. Vega
7. Michael J. W. Hall
8. Li Li

In Statistical and Nonlinear Physics

1. H. Breuer
2. Bassano Vacchini
3. Jyrki Piilo
4. Elsi-Mari Laine
5. Daniel Alonso
6. I. D. Vega

Citations in the corpus

• Colloquium: Non-Markovian dynamics in open quantum systems (2015, background): “A further feature which can be considered in this context, and which has been proposed in Lorenzo et al. (2013) as another signature of non-Markovianity is the dynamical behavior of the volume of the accessible states, according to their parametrization in the Bloch representation, identifying…”