Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 042213 |
| Fachzeitschrift | Physical Review A |
| Jahrgang | 107 |
| Ausgabenummer | 4 |
| Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Atom- und Molekularphysik sowie Optik
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in: Physical Review A, Jahrgang 107, Nr. 4, 042213, 17.04.2023.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Stochastic integral representation for the dynamics of disordered systems
AU - Kurečić, Ivana
AU - Osborne, Tobias J.
N1 - Funding Information: This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through SFB 1227 (DQ-mat) and Germany's Excellence Strategy–EXC-2111–Grant No. 390814868, as well as the RTG 1991 and the EU through the ERC (European Research Council) Starting Grant WASCOSYS (Grant No. 636201).
PY - 2023/4/17
Y1 - 2023/4/17
N2 - 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.
AB - 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.
KW - quant-ph
KW - cond-mat.dis-nn
KW - hep-th
UR - http://www.scopus.com/inward/record.url?scp=85153867514&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.107.042213
DO - 10.1103/PhysRevA.107.042213
M3 - Article
VL - 107
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
M1 - 042213
ER -