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

DOI10.1080/00036811.2019.1632439zbMath1460.81126arXiv1809.00558OpenAlexW2964160833WikidataQ127566560 ScholiaQ127566560MaRDI QIDQ5856756

Heinz-Jürgen Schmidt, Martin Holthaus, Jürgen Schnack

Publication date: 29 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00558

zbMATH Keywords

Floquet theorytwo-level systemquasienergyconfluent Heun differential equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Quantum optics (81V80) Other functions coming from differential, difference and integral equations (33E30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

Periodic thermodynamics of a two spin Rabi model

Uses Software

• DLMF

Cites Work

• Full spectrum of the Rabi model
• Analytical eigenstates for the quantum Rabi model
• Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
• The quantum Rabi model: solution and dynamics
• The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions
• Use of Rotating Coordinates in Magnetic Resonance Problems
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