Abstract
We analyse the role played by system-environment correlations in the emergence of non-Markovian dynamics. By working within the framework developed in Breuer et al., Phys. Rev. Lett. 103, 210401 (2009), we unveil a fundamental connection between non-Markovian behaviour and dynamics of system-environment correlations. We derive an upper bound to the rate of change of the distinguishability between different states of the system that explicitly depends on the development and establishment of correlations between system and environment. We illustrate our results using a fully solvable spin-chain model, which allows us to gain insight on the mechanisms triggering non-Markovian evolution.
Highlights
The study of non-Markovian quantum dynamics is gathering substantial interest due to key advances in the analysis, understanding, and even simulation of nontrivial systemenvironment effects [1]
We derive an upper bound to the rate of change of the distinguishability between different states of the system that explicitly depends on the establishment of correlations between system and environment
We show that by making use of the properties of the trace distance, it is possible to establish a quantitative link between the non-Markovian nature of a process and the existence and evolution of dynamical SECs
Summary
The study of non-Markovian quantum dynamics is gathering substantial interest due to key advances in the analysis, understanding, and even simulation of nontrivial systemenvironment effects [1]. We show that by making use of the properties of the trace distance, it is possible to establish a quantitative link between the non-Markovian nature of a process and the existence and evolution of dynamical SECs. Our key result is the formulation of an upper bound for the derivative of the trace distance between two evolving states of the system that depends explicitly on SECs and environmental distinguishability.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
