Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure

Dabelow L, Vorndamme P, Reimann P (2020)
PHYSICAL REVIEW RESEARCH 2(3): 033210.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We investigate how the observable relaxation behavior of an isolated quantum many-body system is modified in response to weak-to-moderate perturbations within a nonperturbative typicality framework. A key role is played by the so-called perturbation profile, which characterizes the dependence of the perturbation matrix elements in the eigenbasis of the unperturbed Hamiltonian on the difference of the corresponding energy eigenvalues. In particular, a banded matrix structure is quantitatively captured by a perturbation profile, which approaches zero for large energy differences. The temporal modification of the relaxation is linked to the perturbation profile via a nonlinear integral equation, which admits approximate analytical solutions for sufficiently weak and strong perturbations, and for which we work out a numerical solution scheme in the general case. As an example, we consider a spin lattice model with a pronounced banded matrix structure, and we find very good agreement of the numerics with our analytical predictions without any free fit parameter.
Erscheinungsjahr
2020
Zeitschriftentitel
PHYSICAL REVIEW RESEARCH
Band
2
Ausgabe
3
Art.-Nr.
033210
eISSN
2643-1564
Page URI
https://pub.uni-bielefeld.de/record/2950737

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Dabelow L, Vorndamme P, Reimann P. Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure. PHYSICAL REVIEW RESEARCH. 2020;2(3): 033210.
Dabelow, L., Vorndamme, P., & Reimann, P. (2020). Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure. PHYSICAL REVIEW RESEARCH, 2(3), 033210. doi:10.1103/PhysRevResearch.2.033210
Dabelow, L., Vorndamme, P., and Reimann, P. (2020). Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure. PHYSICAL REVIEW RESEARCH 2:033210.
Dabelow, L., Vorndamme, P., & Reimann, P., 2020. Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure. PHYSICAL REVIEW RESEARCH, 2(3): 033210.
L. Dabelow, P. Vorndamme, and P. Reimann, “Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure”, PHYSICAL REVIEW RESEARCH, vol. 2, 2020, : 033210.
Dabelow, L., Vorndamme, P., Reimann, P.: Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure. PHYSICAL REVIEW RESEARCH. 2, : 033210 (2020).
Dabelow, Lennart, Vorndamme, Patrick, and Reimann, Peter. “Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure”. PHYSICAL REVIEW RESEARCH 2.3 (2020): 033210.

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