Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems

• URL: http://arxiv.org/abs/2303.14538v1
• Date: Sat, 25 Mar 2023 19:07:31 GMT
• Title: Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems
• Authors: Arzu Kurt
• Abstract summary: Non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment. We have investigated the non-Markovianity of the dynamics of a two-state system driven by continuous time random walk-type noise.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment, and it is thought to be a resource for various quantum information tasks. We have investigated the non-Markovianity of the dynamics of a two-state system driven by continuous time random walk-type noise, which can be Markovian or non-Markovian depending on its residence time distribution parameters. Exact analytical expressions for the distinguishability as well as the trace distance and entropy-based non-Markovianity measures are obtained and used to investigate the interplay between the non-Markovianity of the noise and that of dynamics. Our results show that, in many cases, the dynamics are also non-Markovian when the noise is non-Markovian. However, it is possible for Markovian noise to cause non-Markovian dynamics and for non-Markovian noise to cause Markovian dynamics but only for certain parameter values.

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