Abstract
Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system’s state. In this work, we study the effect of disorder in the emergence of QD and find that a highly disordered environment is greatly beneficial for it. By introducing the notion of lack of redundancy to quantify objectivity, we show that it behaves analogously to the entanglement entropy (EE) of the environmental eigenstate taken as an initial state. This allows us to estimate the many-body mobility edge by means of our Darwinistic measure, implicating the existence of a critical degree of disorder beyond which the degree of objectivity rises the larger the environment is. The latter hints the key role that disorder may play when the environment is of a thermodynamic size. At last, we show that a highly disordered evolution may reduce the spoiling of redundancy in the presence of intra-environment interactions.
Highlights
The question of how our classical experience emerges from the quantum nature of reality is a fascinating problem that has been a matter of controversy since the origin of quantum mechanics
We introduce the notion of lack of redundancy and find that a high degree of disorder is hugely beneficial for the emergence of Quantum Darwinism (QD)
Based on the intuition that in a realistic scenario a many-body environment should exhibit some degree of disorder, in this work we have explored the role that this disorder plays in the emergence of QD
Summary
The question of how our classical experience emerges from the quantum nature of reality is a fascinating problem that has been a matter of controversy since the origin of quantum mechanics. QD has been studied in the simplest scenario, where the fragments of the environment do not interact with each other This may not be the most realistic situation in an experimental setup, where the intrinsic dynamics of the environment can play a significant role in the decoherent dynamics of the open system [14,15]. Thereby, by coupling a two-level quantum system to this disordered environment, we study the proliferation of redundant information both in the ergodic and localized phase To this end, we introduce the notion of lack of redundancy and find that a high degree of disorder is hugely beneficial for the emergence of QD.
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