Monteiro, Felipe, Tezuka, Masaki ORCID: 0000-0001-7877-0839, Altland, Alexander, Huse, David A. and Micklitz, Tobias ORCID: 0000-0002-0459-0234 (2021). Quantum Ergodicity in the Many-Body Localization Problem. Phys. Rev. Lett., 127 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We generalize Page'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'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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Monteiro, FelipeUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Tezuka, MasakiUNSPECIFIEDorcid.org/0000-0001-7877-0839UNSPECIFIED
Altland, AlexanderUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Huse, David A.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Micklitz, TobiasUNSPECIFIEDorcid.org/0000-0002-0459-0234UNSPECIFIED
URN: urn:nbn:de:hbz:38-586039
DOI: 10.1103/PhysRevLett.127.030601
Journal or Publication Title: Phys. Rev. Lett.
Volume: 127
Number: 3
Date: 2021
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
AVERAGE ENTROPY; PAGES CONJECTURE; QUASI-PARTICLE; ENERGY-LEVELS; SYSTEM; PROOFMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/58603

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