Environmental correlations and Markovian to non-Markovian transitions in collisional models

N. K. Bernardes; A. R.R. Carvalho; C. H. Monken; M. F. Santos

doi:10.1103/PhysRevA.90.032111

Environmental correlations and Markovian to non-Markovian transitions in collisional models

N. K. Bernardes^*, A. R.R. Carvalho, C. H. Monken, M. F. Santos

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

61 Citations (Scopus)

Abstract

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e., with no backflow of information between system and environment.

Original language	English
Article number	032111
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	90
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.90.032111
Publication status	Published - 22 Sept 2014

Access to Document

10.1103/PhysRevA.90.032111

Cite this

@article{4a105a8142a4488888704f542d78b664,

title = "Environmental correlations and Markovian to non-Markovian transitions in collisional models",

abstract = "We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e., with no backflow of information between system and environment.",

author = "Bernardes, {N. K.} and Carvalho, {A. R.R.} and Monken, {C. H.} and Santos, {M. F.}",

note = "Publisher Copyright: {\textcopyright} 2014 American Physical Society.",

year = "2014",

month = sep,

day = "22",

doi = "10.1103/PhysRevA.90.032111",

language = "English",

volume = "90",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Environmental correlations and Markovian to non-Markovian transitions in collisional models

AU - Bernardes, N. K.

AU - Carvalho, A. R.R.

AU - Monken, C. H.

AU - Santos, M. F.

PY - 2014/9/22

Y1 - 2014/9/22

N2 - We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e., with no backflow of information between system and environment.

AB - We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of the quantum maps from consecutive time steps. Our model and results serve as a platform for the microscopic study of non-Markovian behavior as well as an example of a simple scenario of non-Markovianity with purely contractive maps, i.e., with no backflow of information between system and environment.

UR - http://www.scopus.com/inward/record.url?scp=84908553639&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.90.032111

DO - 10.1103/PhysRevA.90.032111

M3 - Article

SN - 1050-2947

VL - 90

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

M1 - 032111

ER -

Environmental correlations and Markovian to non-Markovian transitions in collisional models

Abstract

Access to Document

Other files and links

Fingerprint

Cite this