Search
Submit an article RU
Physics, mathematics, and technology

2009 Issue №4

Back to the list Download the article
Ivanov A. I. Ivanov A. A.

The application of effective Hamiltonian method for open quantum system

DOI
10.5922/2223-2095-2009-4-5
Pages
25-30
the Lindblad Master Equation effective Hamiltonian open quantum system.

Abstract

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.

Reference

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.