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Phys. Rev. A 80, 052316 (2009) [5 pages]

Driving quantum systems into decoherence-free subspaces by Lyapunov control

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X. X. Yi1,2, X. L. Huang1, Chunfeng Wu2, and C. H. Oh2
1School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
2Centre for Quantum Technologies and Department of Physics, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore

Received 12 August 2009; published 12 November 2009

We present a scheme to drive a finite-dimensional quantum system into the decoherence-free subspaces (DFS) by Lyapunov control. Control fields are established by Lyapunov function. This proposal works well for both closed and open quantum systems, with replacing the DFS by desired subspaces for closed systems. An example which consists of a four-level system with three degenerate states driven by three lasers is presented to gain further insight on the scheme. Numerical simulations for the dynamics of the system are performed and the results are good.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052316
DOI:
10.1103/PhysRevA.80.052316
PACS:
03.67.Pp, 03.65.−w, 02.30.Yy