Work

Ultraslow Growth of Number Entropy in an ℓ -Bit Model of Many-Body Localization

Year: 2024
Type: article
Abstract: We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this, we construct a novel random circuit ℓ-bit model with exponentially localized ℓ-bits and exponentially decaying interactions between them. We observe an ultraslow growth of the number entropy starting from a Néel state, saturating at a value that grows with system size. This suggests that the observation of such growth in microscopic models is not sufficient to rule out many-body localization.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,750
OpenAlex ID: W4402576002
FWCI: 2.389
Cites: 58
Cited by: 15
Related to: 10