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Coherence and Quantum Optics IX

Michael Berry

Published Jun 13, 2007• 13 citations
OpenAlex

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Kerr-nonlinearity induced self-focusing or self-defocusing effect provides the opportunity for exploring fundamental phenomena related to the light-matter interactions. Here we show that the linear and nonlinear dispersion responses are significantly sensitive to both the detunings and the tunneling strengths of the indirect-excitonic (IX) states in an asymmetric triple quantum dot system. In particular, the nonlinear dispersion properties are dominated by the tunnel-enhanced cross-Kerr nonlinearity from one of the IX states. Meanwhile, by varying the detunings of other IX states, we reveal that the tunnel-enhanced cross-Kerr nonlinearity gives rise to the realization of the self-focusing and self-defocusing effects. Moreover, by taking into account the effect of the longitudinal-acoustic-phonon induced dephasing of the IX states, it is possible to modulate the height and position of the peak of the self-focusing or self-defocusing effect. Our results may have potential applications in nonlinear-optics and quantum-optics devices based on the tunnel-enhanced nonlinearities in this solid-state system.

Optics Express•Nov 28, 2018•16 citations
Kerr-type leaky resonators are distributed couplers. They can be prism or \ngrating couplers, Fabry-Pérot's or multilayer devices all which include a nonlinear \nmedium that exhibits the optical Kerr effect [IX. 1 and IX.2]. One of the key features of \nthe optical Kerr effect is that it gives rise to a light-intensity dependent refractive index, \nallowing in this way to control light with light [IX.3]. This constitutes a fascinating field \nof nonlinear optics. The resulting all-optical interactions lead to numerous manifestations \nranging from optical bistability to "exotic" behavior such as self-pulsing, chaos, strange \npattern, light bullets, etc. The first observations of optical bistability date back to the \n1970s [ІХ.4-ІХ.7]. A proper study of these effects requires the development of a spatiotemporal theory of the optical Kerr effect in leaky resonators [IX.8].
Kerr-nonlinearity induced self-focusing or self-defocusing effect provides the opportunity for exploring fundamental phenomena related to the light-matter interactions. Here we show that the linear and nonlinear dispersion responses are significantly sensitive to both the detunings and the tunneling strengths of the indirect-excitonic (IX) states in an asymmetric triple quantum dot system. In particular, the nonlinear dispersion properties are dominated by the tunnel-enhanced cross-Kerr nonlinearity from one of the IX states. Meanwhile, by varying the detunings of other IX states, we reveal that the tunnel-enhanced cross-Kerr nonlinearity gives rise to the realization of the self-focusing and self-defocusing effects. Moreover, by taking into account the effect of the longitudinal-acoustic-phonon induced dephasing of the IX states, it is possible to modulate the height and position of the peak of the self-focusing or self-defocusing effect. Our results may have potential applications in nonlinear-optics and quantum-optics devices based on the tunnel-enhanced nonlinearities in this solid-state system.