Tunneling control in a two-level system

An Iterative Method for Extreme Optics of Two-Level Systems

“…the condition of the accidental degeneracy, i.e., it ensures for the Bessel function J 0 (2x) to drop to zero [17,20].…”

“…A different place where two-level approximation has appeared to be reliable is a symmetric double quantum well [17][18][19][20] extensively studied in the context of laser control of tunneling and symmetry breaking with strong short pulses. The latter effect results in the appearance of spectral peaks at the positions of even harmonics from the systems with inversion symmetry.…”

“…It has also made a basis for the description of high-order harmonic generation from a single atom [13], a symmetric molecular ion [14][15][16] and a double-well quantum structure [17][18][19] with emphasis on the strongly non-perturbative picture of the phenomenon and the occurrence of peaks in the spectrum of coherently scattered light at the positions of even harmonics. When applied to double wells, the model turned out to be successful also in explaining the effect of laser control of tunneling [20].…”

Tunneling in a cavity

“…It has since been of continuing interest. [3][4][5][6][7][8][9] The most surprising feature is the periodicity of the destruction of tunneling for certain parameter ratios of S and ω L . So far there is no clear understanding of this phenomenon.…”

“…By using the Floquet formalism it has been shown that many characteristic features of the tunneling suppression can already be described in a two-level approximation of the DWP. 3,4 Many different aspects of the effect have been illuminated in this framework: Makarov 5 , Plata and Gomez Llorente 6 quantized the electromagnetic field and recovered the effect in the limit of large number of photons in the field. Wang and Shao 7 mapped the driven two-level dynamics to a classical one of a charged particle moving in a harmonic potential plus a magnetic field in a plane.…”