Abstract
We analyze the saturation value of the bipartite entanglement and number entropy starting from a random product state deep in the MBL phase. By studying the probability distributions of these entropies we find that the growth of the saturation value of the entanglement entropy stems from a significant reshuffling of the weight in the probability distributions from the bulk to the exponential tails. In contrast, the probability distributions of the saturation value of the number entropy are converged with system size, and exhibit a sharp cut-off for values of the number entropy which correspond to one particle fluctuating across the boundary between the two halves of the system. Our results therefore rule out slow particle transport deep in the MBL phase and confirm that the slow entanglement entropy production stems uniquely from configurational entanglement.
Highlights
Generic interacting quantum many-body systems are expected to thermalize after a quench by virtue of the eigenstate thermalization hypothesis [1,2,3,4,5,6,7]
In this work we presented a detailed study of the saturation value of entanglement and number entropies including the probability distributions over the initial product states and disorder realizations
We have shown that at strong disorder the mean of the saturation value of the entanglement entropy grows with system size, which is consistent with previous literature
Summary
Generic interacting quantum many-body systems are expected to thermalize after a quench by virtue of the eigenstate thermalization hypothesis [1,2,3,4,5,6,7]. We analyze the saturation value of the bipartite entanglement and number entropy starting from a random product state deep in the many-body localized (MBL) phase. Intermediate disorder strengths, in the critical regime W = 3, 4, 5 for our system sizes, the distributions of the entanglement entropy are very broad and the growth of the mean is clearly visible in a reshuffling of the weight from low to high entropy as the system size is increased.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
