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Quantum Electronics and Laser Science Conference

Fundamental limits on quantum-well intersubband-transition-induced frequency conversion

Gilad Almogy, Amnon Yariv

Published May 22, 1995• 0 citations
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Frequency conversion is an enabling process in many quantum information protocols. In this letter we study fundamental limits to high efficiency frequency conversion imposed by time ordering corrections. Using the Magnus expansion, we argue that these corrections, which are usually considered detrimental, can be used to increase the efficiency of conversion under certain circumstances. The corrections induce a nonlinear behaviour in the probability of upconversion as a function of the pump intensity, significantly modifying the sinusoidal Rabi oscillations that are otherwise expected. Finally, by using a simple scaling argument, we explain why cascaded frequency conversion devices attenuate time ordering corrections, allowing the construction of near ideal quantum pulse gates.

•Aug 13, 2015•0 citations
We examine the effects of inhomogeneous broadening on second-order nonlinearities in intersubband-based quantum-well systems. In particular, we study the case of difference-frequency generation in a doubly resonant system, providing, to our knowledge, the first analysis of conversion efficiencies. For even modest amounts of inhomogeneous broadening both the peak conversion efficiency and the optimum interaction length may vary by more than a factor of 3 from that predicted by homogeneous theories.
Frequency conversion is an enabling process in many quantum information protocols. In this letter we study fundamental limits to high efficiency frequency conversion imposed by time ordering corrections. Using the Magnus expansion, we argue that these corrections, which are usually considered detrimental, can be used to increase the efficiency of conversion under certain circumstances. The corrections induce a nonlinear behaviour in the probability of upconversion as a function of the pump intensity, significantly modifying the sinusoidal Rabi oscillations that are otherwise expected. Finally, by using a simple scaling argument, we explain why cascaded frequency conversion devices attenuate time ordering corrections, allowing the construction of near ideal quantum pulse gates.