Phys. Rev. A 71, 032319 (2005) [10 pages]Quantum state exchange between indirectly coupled modesSee 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
See AlsoPublisher'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). |
