Typical relaxation of perturbed quantum many-body systems

Dabelow L, Reimann P (2021)
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 2021(1): 013106.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We substantially extend our relaxation theory for perturbed many-body quantum systems from ((2020) Phys. Rev. Lett. 124 120602) by establishing an analytical prediction for the time-dependent observable expectation values which depends on only two characteristic parameters of the perturbation operator: its overall strength and its range or band width. Compared to the previous theory, a significantly larger range of perturbation strengths is covered. The results are obtained within a typicality framework by solving the pertinent random matrix problem exactly for a certain class of banded perturbations and by demonstrating the (approximative) universality of these solutions, which allows us to adopt them to considerably more general classes of perturbations. We also verify the prediction by comparison with several numerical examples.
Stichworte
rigorous results in statistical mechanics; quantum thermalization; random matrix theory and extensions
Erscheinungsjahr
2021
Zeitschriftentitel
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Band
2021
Ausgabe
1
Art.-Nr.
013106
ISSN
1742-5468
Page URI
https://pub.uni-bielefeld.de/record/2950686

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Dabelow L, Reimann P. Typical relaxation of perturbed quantum many-body systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. 2021;2021(1): 013106.
Dabelow, L., & Reimann, P. (2021). Typical relaxation of perturbed quantum many-body systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2021(1), 013106. doi:10.1088/1742-5468/abd026
Dabelow, L., and Reimann, P. (2021). Typical relaxation of perturbed quantum many-body systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 2021:013106.
Dabelow, L., & Reimann, P., 2021. Typical relaxation of perturbed quantum many-body systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2021(1): 013106.
L. Dabelow and P. Reimann, “Typical relaxation of perturbed quantum many-body systems”, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, vol. 2021, 2021, : 013106.
Dabelow, L., Reimann, P.: Typical relaxation of perturbed quantum many-body systems. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. 2021, : 013106 (2021).
Dabelow, Lennart, and Reimann, Peter. “Typical relaxation of perturbed quantum many-body systems”. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 2021.1 (2021): 013106.

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