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The European Physical Journal D

Phase-sensitive Kerr nonlinearity in a three-level n-doped semiconductor quantum well (SQW)

Mostafa Sahrai

Published Sep 1, 2017• 2 citations
Publisher
DOI
10.1140/epjd/e2017-80418-9

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Quantum Physics Letters•Oct 20, 2013•1 citation
This paper presents a comprehensive investigation on Kerr nonlinearity in a three-level semiconductor quantum well (SQW) superlattice and validates the existence of large Kerr nonlinearity of the order of [Formula: see text] in the vicinity of an electromagnetically induced transparency (EIT) window. The Kerr nonlinearity is found to vary with the relative phase of the applied optical fields, and by selecting suitable relative phases, an enhanced Kerr nonlinearity can be obtained. The results may find significant applications in optoelectronic and photonic devices.
The third-order susceptibility is investigated in a five-level atomic system in which the laser beams couple the ground state to a four-level closed-loop system. It is found that under the condition of the multiphoton resonance, one can enhance the Kerr nonlinearity of such a medium by properly adjusting the amplitudes and phases of the applied fields. In this case, the linear and nonlinear absorption reduce considerably in a region with a positive group velocity. It is demonstrated that the third-order susceptibility is very sensitive to the relative phase of the applied fields. An analytical model is presented to elucidate such phase control of the Kerr nonlinearity. A comparison is also made between the Kerr-nonlinear indices for the five-, four-, and three-level systems. It is realized that the magnitude of the Kerr nonlinearity for the five-level system is larger than that of the three- and four-level counterparts. Finally, it is shown that effect of Doppler broadening can lead to an enhanced Kerr nonlinearity while maintaining linear and nonlinear absorption.
Abstract: A theoretical investigation is carried out into the impact of incoherent pumping fields and quantum interference induced by incoherent pumping fields on the Kerr nonlinearity in a three-level asymmetric semiconductor quantum well system. It is found that Kerr nonlinearity is so sensitive to the rate of incoherent pumping fields, but insensitive to the quantum interference induced by incoherent pumping fields. In addition, it is demonstrated that an enhanced Kerr nonlinearity with reduced absorption can be achieved just via the strength of Fano- type interference and without applying any coherent laser field. The obtained results are very different from the conventional schemes which coherent coupling fields are used to control the Kerr nonlinearity. This advantages make our electronic medium much more practical than its atomic counterpart due to its flexible design and the controllable interference strength.