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Phys. Rev. A 71, 032319 (2005) [10 pages]

Quantum state exchange between indirectly coupled modes

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A. S. M. de Castro*
Departamento de Física, Universidade Estadual de Ponta Grossa, CEP 84030-900, Ponta Grossa, PR, Brazil

J. F. Peruzzo
Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, CEP 84030-900, Ponta Grossa, PR, Brazil

V. V. Dodonov
Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70910-900 Brasília, DF, Brazil

See Also: Publisher's Note

Received 20 June 2004; revised 1 December 2004; published 17 March 2005; publisher error corrected 23 March 2005

The problem of quantum state exchange between three coupled quantum harmonic oscillators (which can represent interacting modes of the electromagnetic field in nonlinear crystal or interaction between laser beams and vibrational modes of ions in traps) is considered. We review different definitions of state exchange and find conditions of its possibility for arbitrary initial states in a chain of three oscillators with bilinear resonance coupling (corresponding to the rotating wave approximation), analyzing the structure of integrals of motion and propagators of the Schrödinger equation, as well as the Wigner functions. The influence of different parameters (such as detunings between coupling constants and temperatures of the intermediate oscillator and “receiver”) on the fidelity of exchange is analyzed.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.032319
DOI:
10.1103/PhysRevA.71.032319
PACS:
03.67.Hk, 03.65.−w, 42.50.Dv

*Electronic address: asmcastro@uepg.br

Electronic address: jj-2000@bol.com.br

Electronic address: vdodonov@fis.unb.br

See Also

Publisher's Note: A.S.M. de Castro, J. F. Peruzzo, and V. V. Dodonov, Publisher's Note: Quantum state exchange between indirectly coupled modes [Phys. Rev. A71, 032319 (2005)], Phys. Rev. A 71, 049901 (2005).