Floquet theory of the analytical solution of a periodically driven two-level system

Schmidt H-J, Schnack J, Holthaus M (2019)
APPLICABLE ANALYSIS: 1-18.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Schmidt, Heinz-Juergen; Schnack, JürgenUniBi ; Holthaus, Martin
Abstract / Bemerkung
We investigate the analytical solution of a two-level system subject to a monochromatical, linearly polarized external field that was first published in 2007. In particular, we derive an explicit expression for the quasienergy. Moreover, we calculate the time evolution of a typical two-level system over a full period by evaluating series solutions of the confluent Heun equation. This is possible without invoking the connection problem of this equation since the complete time evolution of the system under consideration can be reduced to that of the first quarter-period. As a physical application we consider the work performed on a two-level system.
Stichworte
Salvatore Leonardi; Floquet theory; two-level system; quasienergy; confluent Heun differential equation
Erscheinungsjahr
2019
Zeitschriftentitel
APPLICABLE ANALYSIS
Seite(n)
1-18
ISSN
0003-6811
eISSN
1563-504X
Page URI
https://pub.uni-bielefeld.de/record/2936608

Zitieren

Schmidt H-J, Schnack J, Holthaus M. Floquet theory of the analytical solution of a periodically driven two-level system. APPLICABLE ANALYSIS. 2019:1-18.
Schmidt, H. - J., Schnack, J., & Holthaus, M. (2019). Floquet theory of the analytical solution of a periodically driven two-level system. APPLICABLE ANALYSIS, 1-18. doi:10.1080/00036811.2019.1632439
Schmidt, H. - J., Schnack, J., and Holthaus, M. (2019). Floquet theory of the analytical solution of a periodically driven two-level system. APPLICABLE ANALYSIS, 1-18.
Schmidt, H.-J., Schnack, J., & Holthaus, M., 2019. Floquet theory of the analytical solution of a periodically driven two-level system. APPLICABLE ANALYSIS, , p 1-18.
H.-J. Schmidt, J. Schnack, and M. Holthaus, “Floquet theory of the analytical solution of a periodically driven two-level system”, APPLICABLE ANALYSIS, 2019, pp. 1-18.
Schmidt, H.-J., Schnack, J., Holthaus, M.: Floquet theory of the analytical solution of a periodically driven two-level system. APPLICABLE ANALYSIS. 1-18 (2019).
Schmidt, Heinz-Juergen, Schnack, Jürgen, and Holthaus, Martin. “Floquet theory of the analytical solution of a periodically driven two-level system”. APPLICABLE ANALYSIS (2019): 1-18.