Work

The ergodic side of the many‐body localization transition

Year: 2017

Type: article

Abstract: Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the entanglement entropy. Here we review the dynamical properties of this phase and the available numerically exact and approximate methods for its study. We discuss in which sense this phase could be considered ergodic and present possible phenomenological explanations of its dynamical properties. We close by analyzing to which extent the proposed explanations were verified by numerical studies and present the open questions in this field. image

Source: Annalen der Physik

DOI: 10.1002/andp.201600350

Authors: David J. Luitz, Yevgeny Bar Lev

Institutions: University of Illinois Urbana-Champaign, Anthony J. Leggett Institute for Condensed Matter Theory, Columbia University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Simons Foundation, Gordon and Betty Moore Foundation, University of Illinois System

Awards: G2952167421, G4909030617, Sustained-Petascale In Action: Blue Waters Enabling Transformative Science And Engineering, Dynamics and Transport in Strongly Interacting Condensed Phase Systems, Moore Scholars in Theory of Quantum Materials