We show that the rainbow state, which has volume-law entanglement entropy for most choices of bipartitions, can be embedded in a many-body localized spectrum. For a broad range of disorder strengths in the resulting model, we numerically find a narrow window of highly entangled states in the spectrum, embedded in a sea of area law entangled states. The construction hence embeds mobility edges in many-body localized systems. This can be thought of as the complement to many-body scars, an “inverted quantum many-body scar,” providing a further type of setting where the eigenstate thermalization hypothesis is violated.
%0 Journal Article
%1 PhysRevB.108.L100202
%A Srivatsa, N. S.
%A Yarloo, Hadi
%A Moessner, Roderich
%A Nielsen, Anne E. B.
%D 2023
%I American Physical Society
%J Phys. Rev. B
%K a
%N 10
%P L100202
%R 10.1103/PhysRevB.108.L100202
%T Mobility edges through inverted quantum many-body scarring
%U https://link.aps.org/doi/10.1103/PhysRevB.108.L100202
%V 108
%X We show that the rainbow state, which has volume-law entanglement entropy for most choices of bipartitions, can be embedded in a many-body localized spectrum. For a broad range of disorder strengths in the resulting model, we numerically find a narrow window of highly entangled states in the spectrum, embedded in a sea of area law entangled states. The construction hence embeds mobility edges in many-body localized systems. This can be thought of as the complement to many-body scars, an “inverted quantum many-body scar,” providing a further type of setting where the eigenstate thermalization hypothesis is violated.
@article{PhysRevB.108.L100202,
abstract = {We show that the rainbow state, which has volume-law entanglement entropy for most choices of bipartitions, can be embedded in a many-body localized spectrum. For a broad range of disorder strengths in the resulting model, we numerically find a narrow window of highly entangled states in the spectrum, embedded in a sea of area law entangled states. The construction hence embeds mobility edges in many-body localized systems. This can be thought of as the complement to many-body scars, an “inverted quantum many-body scar,” providing a further type of setting where the eigenstate thermalization hypothesis is violated.},
added-at = {2023-11-28T11:29:34.000+0100},
author = {Srivatsa, N. S. and Yarloo, Hadi and Moessner, Roderich and Nielsen, Anne E. B.},
biburl = {https://www.bibsonomy.org/bibtex/2189b51c013d9bb1a8393846f79423b40/ctqmat},
day = 06,
doi = {10.1103/PhysRevB.108.L100202},
interhash = {b2e1d48827a10766e8a8ec5b41fca194},
intrahash = {189b51c013d9bb1a8393846f79423b40},
journal = {Phys. Rev. B},
keywords = {a},
month = {09},
number = 10,
numpages = {6},
pages = {L100202},
publisher = {American Physical Society},
timestamp = {2023-11-28T11:29:34.000+0100},
title = {Mobility edges through inverted quantum many-body scarring},
url = {https://link.aps.org/doi/10.1103/PhysRevB.108.L100202},
volume = 108,
year = 2023
}