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

2018/09/03 by Heinz–Jürgen Schmidt, Schmidt, Heinz-Jürgen, Jürgen Schnack +3 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1809.00558

Abstract

We investigate the analytical solution of a two-level system subject to a\nmonochromatical, linearly polarized external field that was published a couple\nof years ago. In particular, we derive an explicit expression for the\nquasienergy. Moreover, we calculate the time evolution of a typical two-level\nsystem over a full period by evaluating series solutions of the confluent Heun\nequation. This is possible without invoking the connection problem of this\nequation since the complete time evolution of the system under consideration\ncan be reduced to that of the first quarter-period.\n

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• Floquet time-convolutionless master equation for non-Markovian driven quantum systems
• Long-term stability of driven quantum systems and the time-dependent Bloch equation

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