Quantum Ergodicity in the Many-Body Localization Problem - Kölner UniversitätsPublikationsServer

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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DOI:10.1103/PhysRevLett.127.030601

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:

Creators	Email	ORCID	ORCID Put Code
Monteiro, Felipe	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Tezuka, Masaki	UNSPECIFIED	orcid.org/0000-0001-7877-0839	UNSPECIFIED
Altland, Alexander	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Huse, David A.	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Micklitz, Tobias	UNSPECIFIED	orcid.org/0000-0002-0459-0234	UNSPECIFIED