SchäferBung, B. and Hartmann, C. and Schmidt, B. and Schütte, Ch. (2011) Dimension reduction by balanced truncation: Application to lightinduced control of open quantum systems. J. Chem. Phys., 135 (1). 014112.

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Official URL: http://dx.doi.org/10.1063/1.3605243
Abstract
In linear control, balanced truncation is known as a powerful technique to reduce the statespace dimension of a system. Its basic principle is to identify a subspace of jointly easily controllable and observable states and then to restrict the dynamics to this subspace without changing the overall response of the system. This work deals with a first application of balanced truncation to the control of open quantum systems which are modeled by the Liouvillevon Neumann equation within the Lindblad formalism. Generalization of the linear theory have been proposed to cope with the bilinear terms arising from the coupling between the control field and the quantum system. As an example we choose the dissipative quantum dynamics of a particle in an asymmetric double well potential driven by an external control field, monitoring population transfer between the potential wells as a control target. The accuracy of dimension reduction is investigated by comparing the populations obtained for the truncated system versus those for the original system. The dimension of the model system can be reduced very efficiently where the degree of reduction depends on temperature and relaxation rate.
Item Type:  Article 

Additional Information:  Copyright (2011) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Chem. Phys, 135(1), 014112, (2011) and may be found at http://link.aip.org/link/doi/10.1063/1.3605243. 
Subjects:  Physical Sciences > Physics > Mathematical & Theoretical Physics Physical Sciences > Physics > Chemical Physics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Cellular Mechanics Group Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group 
ID Code:  1023 
Deposited By:  BioComp Admin 
Deposited On:  26 Jan 2011 14:31 
Last Modified:  03 Mar 2017 14:41 
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