@article{4371521ecb204d4ca2e6428ec866dd45,
title = "Quantum Ergodicity in the Many-Body Localization Problem",
abstract = "We generalize Page{\textquoteright}s result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long-range interactions. This extension leads to two principal conclusions: first, for increasing disorder the “shells” of constant energy supporting a system{\textquoteright}s eigenstates fill only a fraction of its full Fock space and are subject to intrinsic correlations absent in synthetic high-dimensional random lattice systems. Second, in all regimes preceding the many-body localization transition individual eigenstates are thermally distributed over these shells. These results, corroborated by comparison to exact diagonalization for an SYK model, are at variance with the concept of “nonergodic extended states” in many-body systems discussed in the recent literature.",
author = "Felipe Monteiro and Masaki Tezuka and Alexander Altland and Huse, {David A.} and Tobias Micklitz",
note = "Funding Information: D. A. H. thanks Vir Bulchandani and Sarang Gopalakrishnan for helpful discussions. F. M and T. M. acknowledge financial support by Brazilian agencies CNPq and FAPERJ. A. A. acknowledges partial support from the Deutsche Forschungsgemeinschaft (DFG) within the CRC network TR 183 (Project Grant No. 277101999) as part of projects A03. The work of M. T. was supported in part by JSPS KAKENHI Grants No. JP17K17822, No. JP20K03787, and No. JP20H05270. D. A. H. is supported in part by DOE Grant No. DE-SC0016244. Funding Information: Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico Funda{\c c}{\~a}o Carlos Chagas Filho de Amparo {\`a} Pesquisa do Estado do Rio de Janeiro Deutsche Forschungsgemeinschaft Japan Society for the Promotion of Science U.S. Department of Energy Publisher Copyright: {\textcopyright} 2021 American Physical Society",
year = "2021",
month = jul,
day = "16",
doi = "10.1103/PhysRevLett.127.030601",
language = "English (US)",
volume = "127",
journal = "Physical review letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "3",
}