Type of Publication:  Preprint 
Author:  Romhányi, Judit; Burkard, Guido; Pályi, András 
Year of publication:  2015 
ArXivID:  arXiv:1504.06081 
Summary: 
We theoretically study coherent subharmonic (multiphoton) transitions of a harmonically driven spin. We consider two cases: magnetic resonance (MR) with a misaligned, i.e., nontransversal driv ing field, and electrically driven spin resonance (EDSR) of an electron confined in a onedimensional, parabolic quantum dot, subject to Rashba spinorbit interaction. In the EDSR case, we focus on the limit where the orbital level spacing of the quantum dot is the greatest energy scale. Then, we apply timedependent SchriefferWolff perturbation theory to derive a timedependent effective twolevel Hamiltonian, allowing to describe both MR and EDSR using the Floquet theory of period ically driven twolevel systems. In particular, we characterise the fundamental (singlephoton) and the halfharmonic (twophoton) spin transitions. We demonstrate the appearance of twophoton Rabi oscillations, and analytically calculate the fundamental and halfharmonic resonance frequen cies and the corresponding Rabi frequencies. For EDSR, we find that both the fundamental and the halfharmonic resonance frequency changes upon increasing the strength of the driving elec tric field, which is an effect analogous to the BlochSiegert shift known from MR. Remarkably, the drivestrength dependent correction to the fundamental EDSR resonance frequency has an anoma lous, negative sign, in contrast to the corresponding BlochSiegert shift in MR which is always positive. Our analytical results are supported by numerical simulations, as well as by qualitative interpretations for simple limiting cases.

Subject (DDC):  530 Physics 
Bibliography of Konstanz:  Yes 
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ROMHÁNYI, Judit, Guido BURKARD, András PÁLYI, 2015. Subharmonic transitions and BlochSiegert shift in electrically driven spin resonance
@unpublished{Romhanyi2015Subha30971, title={Subharmonic transitions and BlochSiegert shift in electrically driven spin resonance}, year={2015}, author={Romhányi, Judit and Burkard, Guido and Pályi, András} }
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