DocumentCode :
1501870
Title :
Quantum Coherent Nonlinear Feedback With Applications to Quantum Optics on Chip
Author :
Zhang, Jing ; Wu, Re-Bing ; Liu, Yu-xi ; Li, Chun-Wen ; Tarn, Tzyh-Jong
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Volume :
57
Issue :
8
fYear :
2012
Firstpage :
1997
Lastpage :
2008
Abstract :
In the control of classical mechanical systems, feedback has been applied to the generation of desired nonlinear dynamics, e.g., in chaos control. However, how much this can be done is still an open problem in quantum mechanical systems. This paper presents a scheme of enhancing nonlinear quantum effects via the recently developed coherent feedback techniques, which can be shown to outperform the measurement-based quantum feedback scheme that can only generate pseudo-nonlinear quantum effects. Apart from the advantages of our method, an unsolved problem is that the decoherence rate is also increased by the quantum amplifier, which may be solved by introducing, e.g., an integral device or an nonlinear quantum amplifier. Such a proposal is demonstrated via two application examples in quantum optics on chip. In the first example, we show that nonlinear Kerr effect can be generated and amplified to be comparable with the linear effect in a transmission line resonator (TLR). In the second example, we show that by tuning the gains of the quantum amplifiers in a TLR coherent feedback network, the resulting nonlinear effects can generate and manipulate non-Gaussian “light” (microwave field) which exhibits fully quantum sub-Poisson photoncount statistics and photon antibunching phenomenon. The scheme opens up broad applications in engineering nonlinear quantum optics on chip. Particularly, in this study, the concept of feedback nonlinearization which is very useful for quantum feedback control systems is introduced. This is in contrast to the feedback linearization concept used in classical nonlinear feedback control systems.
Keywords :
discrete systems; feedback; integrated optoelectronics; microwave resonators; nonlinear dynamical systems; nonlinear optics; optical Kerr effect; photon antibunching; photon counting; quantum theory; superconducting devices; transmission lines; TLR coherent feedback network; chaos control; classical mechanical system control; decoherence rate; feedback nonlinearization; fully quantum sub-Poisson photoncount statistics; integral device; nonGaussian light; nonlinear Kerr effect; nonlinear dynamics; nonlinear quantum amplifier; nonlinear quantum effects; photon antibunching phenomenon; pseudononlinear quantum effects; quantum amplifier gain tuning; quantum coherent nonlinear feedback; quantum feedback control systems; quantum mechanical systems; quantum optics on chip; transmission line resonator; Cavity resonators; Feedback control; Kerr effect; Nonlinear optics; Optical feedback; System-on-a-chip; Feedback nonlinearization; nonlinear quantum optics; on-chip quantum optics; quantum coherent feedback control; quantum control;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2012.2195871
Filename :
6189054
Link To Document :
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