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Keywords = non-Markovian quantum state diffusion (QSD) equation

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19 pages, 986 KiB  
Article
Quantum Information Scrambling in Non-Markovian Open Quantum System
by Li-Ping Han, Jian Zou, Hai Li and Bin Shao
Entropy 2022, 24(11), 1532; https://doi.org/10.3390/e24111532 - 26 Oct 2022
Cited by 7 | Viewed by 2287
Abstract
In this paper, we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically, two issues about information scrambling in an open quantum system are [...] Read more.
In this paper, we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically, two issues about information scrambling in an open quantum system are addressed. The first issue is that tripartite mutual information (TMI) can quantify information scrambling properly via its negative value in a closed system, whether it is still suitable to indicate information scrambling in an open quantum system. We find that negative TMI is not a suitable quantifier of information scrambling in an open quantum system in some cases, while negative tripartite logarithmic negativity (TLN) is an appropriate one. The second one is that up to now almost all information scrambling in open quantum systems reported were focus on a Markovian environment, while the effect of a non-Markovian environment on information scrambling is still elusive. Our results show that the memory effect of an environment will be beneficial to information scrambling. Moreover, it is found that the environment is generally detrimental for information scrambling in the long-term, while in some cases it will be helpful for information scrambling in the short-term. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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