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Localization dynamics from static and mobile impurities

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Summary: As disorder strength exceeds a threshold value in many-body systems, a transformation known as many-body localization occurs, breaking down fundamental principles of statistical mechanics. Investigating the transition point remains challenging, but detecting it experimentally is possible by exploiting the sensitivity of dynamics to random samples, leaving fingerprints on all spatial scales. Additionally, evidence of a mobility edge can be detected by slight variations of the transition point with changes in the initial state, and the scalable protocol can be implemented across various physical platforms.

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