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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/10908

Title: Quantum treatment of the time-dependent coupled oscillators under the action of a random force
Authors: M. Sebawe
M.M. Nassar
Keywords: frequency converter
Issue Date: 2009
Publisher: Annals of Physics,
Citation: Volume 324, Issue 3, March 2009, Pages 637-669
Abstract: In this communication we introduce the problem of time-dependent frequency converter under the action of external random force. We have assumed that the coupling parameter and the phase pump are explicitly time dependent. Using the equations of motion in the Heisenberg picture the dynamical operators are obtained, however, under a certain integrability condition. When the system is initially prepared in the even coherent states the squeezing phenomenon is discussed. The correlation function is also considered and it has been shown that the nonclassical properties are apparent and sensitive to any variation in the integrability parameter. Furthermore, the wave function in Schrödinger picture is calculated and used it to derive the wave function in the coherent states. The accurate definition of the creation and annihilation operators are also introduced and employed to diagonalize the Hamiltonian system.
URI: http://hdl.handle.net/123456789/10908
Appears in Collections:College of Science

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