Title :
A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system
Author :
Xue, Shi-Bei ; Petersen, Ian R.
Author_Institution :
School of Engineering and Information Technology, UNSW Canberra at the Australian Defence Force Academy, Northcott Drive, Campbell ACT 2600 Australia
fDate :
May 31 2015-June 3 2015
Abstract :
This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green´s function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.
Keywords :
Colored noise; Couplings; Green´s function methods; Hilbert space; Kernel; Oscillators;
Conference_Titel :
Control Conference (ASCC), 2015 10th Asian
Conference_Location :
Kota Kinabalu, Malaysia
DOI :
10.1109/ASCC.2015.7244447