Adrián A. Budini
Solvable class of non-Markovian quantum multipartite dynamics
Budini, Adrián A.; Garrahan, Juan P.
Abstract
We study a class of multipartite open quantum dynamics for systems with an arbitrary number of qubits. The non-Markovian quantum master equation can involve arbitrary single or multipartite and time-dependent dissipative coupling mechanisms, expressed in terms of strings of Pauli operators. We formulate the general constraints that guarantee the complete positivity of this dynamics. We characterize in detail the underlying mechanisms that lead to memory effects, together with properties of the dynamics encoded in the associated system rates. We specifically derive multipartite "eternal"non-Markovian master equations that we term hyperbolic and trigonometric due to the time dependence of their rates. For these models we identify a transition between positive and periodically divergent rates. We also study non-Markovian effects through an operational (measurement-based) memory witness approach.
Citation
Budini, A. A., & Garrahan, J. P. (2021). Solvable class of non-Markovian quantum multipartite dynamics. Physical Review A, 104(3), Article 032206. https://doi.org/10.1103/PhysRevA.104.032206
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 25, 2021 |
Online Publication Date | Sep 8, 2021 |
Publication Date | Sep 1, 2021 |
Deposit Date | Sep 9, 2021 |
Publicly Available Date | Sep 9, 2021 |
Journal | Physical Review A |
Print ISSN | 2469-9926 |
Electronic ISSN | 2469-9934 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 104 |
Issue | 3 |
Article Number | 032206 |
DOI | https://doi.org/10.1103/PhysRevA.104.032206 |
Public URL | https://nottingham-repository.worktribe.com/output/6189736 |
Publisher URL | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.032206 |
Files
MultipartiteNonMarkovian_Resubmitted
(337 Kb)
PDF
You might also like
Out-of-equilibrium structures in strongly interacting Rydberg gases with dissipation
(2014)
Journal Article
Spatial complementarity and the coexistence of species
(2014)
Journal Article
Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry
(2015)
Journal Article
Phase transition for quenched coupled replicas in a plaquette spin model of glasses
(2016)
Journal Article
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: discovery-access-systems@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search