Stochastic integral representation for the dynamics of disordered systems

verfasst von

Ivana Kurečić, Tobias J. Osborne

Abstract

The dynamics of interacting quantum systems in the presence of disorder is studied and an exact representation for disorder-averaged quantities via Itô stochastic calculus is obtained. The stochastic integral representation affords many advantages, including amenability to analytic approximation, potential applicability to interacting systems, and compatibility with tensor network methods. The integral may be expanded to produce a series of approximations, the first of which already includes all diffusive corrections and, further, is manifestly completely positive. The addition of fluctuations leads to a convergent series of systematic corrections. As examples, expressions for the density of states and spectral form factor for the Anderson model are obtained.

Organisationseinheit(en)

Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik (MPQ)
Munich Center for Quantum Science and Technology (MCQST)

Typ

Artikel

Journal

Physical Review A

Band

107

ISSN

2469-9926

Publikationsdatum

17.04.2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Atom- und Molekularphysik sowie Optik

Elektronische Version(en)

http://arxiv.org/abs/1809.04341v1 (Zugang: Offen)
https://doi.org/10.1103/PhysRevA.107.042213 (Zugang: Geschlossen)