Journal Article

FZJ-2020-04143

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exponential damping induced by random and realistic perturbations

Richter, J. (Corresponding author) ; Jin, F.FZJ* ; Knipschild, L. ; De Raedt, H.Extern* ; Michielsen, K.FZJ* ; Gemmer, J. ; Steinigeweg, R.Extern*

2020
Inst. Woodbury, NY

This record in other databases:      

Please use a persistent id in citations: http://hdl.handle.net/2128/25981  doi:10.1103/PhysRevE.101.062133

Abstract: Given a quantum many-body system and the expectation-value dynamics of some operator, we study how this reference dynamics is altered due to a perturbation of the system's Hamiltonian. Based on projection operator techniques, we unveil that if the perturbation exhibits a random-matrix structure in the eigenbasis of the unperturbed Hamiltonian, then this perturbation effectively leads to an exponential damping of the original dynamics. Employing a combination of dynamical quantum typicality and numerical linked cluster expansions, we demonstrate that our theoretical findings for random matrices can, in some cases, be relevant for the dynamics of realistic quantum many-body models as well. Specifically, we study the decay of current autocorrelation functions in spin-1/2 ladder systems, where the rungs of the ladder are treated as a perturbation to the otherwise uncoupled legs. We find a convincing agreement between the exact dynamics and the lowest-order prediction over a wide range of interchain couplings.

---

Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)
2. JARA - HPC (JARA-HPC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. Manipulation and dynamics of quantum spin systems (jjsc09_20190501) (jjsc09_20190501)

Appears in the scientific report 2020

---

Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

---