IKBFU's Vestnik

2009 Issue №04

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The application of effective Hamiltonian method for open quantum system



The article shows that the Lindblad Master Equation for finitedimensional Hilbert space can be presented as a Schrödinger Equation on a Hilbert space of greater dimension. This equation can be considered as an equation of the evolution of an integrated system consisting of two subsystems: observational and auxiliary ones. This equation allows solutions in the form of entangled states.


1. Lindblad G. Communications Mathematical Physics. 1976. Vol. 48. P. 119.

2. Helstrom C. W. Quantum Detection and Estimation Theory. New York, Aca­demic, 1976.

3. Klyachko A. Dynamic Symmetry Approach to Entaglement. URL: arxiv.org: quant-ph/0802.4008v1

4. Bennett C. H., Brassard G., Crepeau C. et al. // Phys. Rev. Lett. 1993. Vol. 70. P. 1895.

5. Bouwmeester D., Pan J.-W.  // Nature. 1997. Vol. 390. P. 575—579.

6. Ekert A. // Phys. Rev. Lett. 1991. Vol. 67. P. 661.

7. Bennett C. H., Brassard G., Mermin N. D. // Phys. Rev. Lett. 1992. Vol. 68. P. 557.