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Stochastic integral representation for the dynamics of disordered systems

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Ivana Kurečić
  • Tobias J. Osborne

External Research Organisations

  • Max Planck Institute of Quantum Optics (MPQ)
  • Munich Center for Quantum Science and Technology (MCQST)

Details

Original languageEnglish
Article number042213
JournalPhysical Review A
Volume107
Issue number4
Publication statusPublished - 17 Apr 2023

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.

Keywords

    quant-ph, cond-mat.dis-nn, hep-th

ASJC Scopus subject areas

Cite this

Stochastic integral representation for the dynamics of disordered systems. / Kurečić, Ivana; Osborne, Tobias J.
In: Physical Review A, Vol. 107, No. 4, 042213, 17.04.2023.

Research output: Contribution to journalArticleResearchpeer review

Kurečić I, Osborne TJ. Stochastic integral representation for the dynamics of disordered systems. Physical Review A. 2023 Apr 17;107(4):042213. doi: 10.1103/PhysRevA.107.042213
Kurečić, Ivana ; Osborne, Tobias J. / Stochastic integral representation for the dynamics of disordered systems. In: Physical Review A. 2023 ; Vol. 107, No. 4.
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