Colloquium: Non-Markovian dynamics in open quantum systems
By H. Breuer, Elsi-Mari Laine, Jyrki Piilo, Bassano Vacchini. 2015
1,051 citations recorded by the source corpus.
An ongoing theme in quantum physics is the interaction of small quantum systems with an environment. If that environment has many degrees of freedom and is weakly coupled, it can often be reasonable to treat its decohering effect on the small system using a ``memoryless,'' or Markovian description. This Colloquium shows that for many phenomena a more refined, non-Markovian, treatment is necessary. The suite of developing theoretical tools is reviewed, with which recent progress on this problem has been based.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/e0b893146fda43bf3895b3fff8d93442007813e3
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In Artificial Intelligence
- Li Li
- Lingzhen Guo
- Michael J. W. Hall
- Howard M. Wiseman
- Anton Frisk Kockum
- G. Johansson
- K. Kawabata
- Ryuji Takagi
In Atomic and Molecular Physics, and Optics
- Lingzhen Guo
- K. Kawabata
- Michael J. W. Hall
- Li Li
- Anton Frisk Kockum
- Howard M. Wiseman
- G. Johansson
- S. Higashikawa
Citations in the corpus
- Oscillating bound states for a giant atom (2019, background): “The physical origin of the non-Markovianity is typically the coupling to a structured bath causing information backflow from the environment [42–44].”
- Fundamental limits of quantum error mitigation (2021, background): “Since non-Markovianity is known to be deeply related to the trace distance [55], our newly established relations between trace distance and quantum error mitigation hint at promising relations between the two fields.”
- Topological Phases of Non-Hermitian Systems (2018, background): “In this sense, each invertible quantum dynamical map Φt is trivial, since Φt can continuously be deformed into Φ0 1⁄4 I , irrespective of whether Φt is Markovian or not [156].”
- Concepts of quantum non-Markovianity: A hierarchy (2017, methodology): “These two approaches are in fact hierarchically related: quantum Markovianity in the sense of divisibility implies Markovianity in the sense of decreasing system-state distinguishability, but not vice versa [13, 14, 22].”