Time Evolution of Many-Body Localized Systems with the Flow Equation Approach - Archive ouverte HAL Access content directly
Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2018

Time Evolution of Many-Body Localized Systems with the Flow Equation Approach

(1) , (1)
1

Abstract

The interplay between interactions and quenched disorder can result in rich dynamical quantum phenomena far from equilibrium, particularly when many-body localization prevents the system from full thermalization. With the aim of tackling this interesting regime, here we develop a semi-analytical flow equation approach to study time evolution of strongly disordered interacting quantum systems. We apply this technique to a prototype model of interacting spinless fermions in a random on-site potential in both one and two dimensions. Key results include (i) an explicit construction of the local integrals of motion that characterize the many-body localized phase in one dimension, ultimately connecting the microscopic model to phenomenological descriptions, (ii) calculation of these quantities for the first time in two dimensions, and (iii) an investigation of the real-time dynamics in the localized phase which reveals the crucial role of $l$-bit interactions for enhancing dephasing and relaxation
Fichier principal
Vignette du fichier
1707.06981.pdf (1.17 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01729268 , version 1 (12-03-2018)

Identifiers

Cite

S. J. Thomson, M. Schiró. Time Evolution of Many-Body Localized Systems with the Flow Equation Approach. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2018, 97, pp.060201. ⟨10.1103/PhysRevB.97.060201⟩. ⟨cea-01729268⟩
60 View
91 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More