AC-Stark effect in a semi-spherical quantum dot

Details AC-Stark effect in a semi-spherical quantum dot AC-Stark effect in a semi-spherical quantum dot

2005-07-09

arxiv.org/abs/cond-mat/0507224v1

Phys. Stat. Sol. (b) 242:9, 1820-1823 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, one figure

Scientific paper

10.1002/pssb.200461710

We present a theoretical approach to study the effects of an ac-field applied to quantum dots with semi-spherical symmetry. Using the Floquet formalism for this periodically driven system, the time-dependent Hamiltonian in the effective mass approximation is solved. We show that the Hilbert space of solutions is separated into orthogonal subspaces with different $z$-component of the angular momentum. We give an explicit analytical representation for electronic states as a function of the intensity and frequency of the electric field. Under the two level approximation, two particular cases are studied: the low- and high-frequency regimes, which result of comparing the ac-field frequency to the characteristic level splitting at zero field.

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