AC-Stark effect in a semi-spherical quantum dot

Abstract

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.

3 pages, one figure

References in corpus (2)

• Location of crossings in the Floquet spectrum of a driven two-level system
• Selective coherent destruction of tunneling in a quantum-dot array

Cited by in corpus (4)

• Optical response of graphene under intense terahertz fields
• Intense terahertz laser fields on a quantum dot with Rashba spin-orbit coupling
• Stark Effect of Interactive Electron-hole pairs in Spherical Semiconductor Quantum Dots
• Some electronic and optical properties of self-assembled quantum dots: asymmetries in a lens domain