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Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers

Adam Miranowicz and Wiesław Leoński

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Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear coupler) with one or two of them pumped by external classical fields. It is shown that the quantum evolution of the pumped couplers can be closed in a two-qubit Hilbert space spanned by vacuum and single-photon states only. Thus, the pumped couplers can behave as a two-qubit system. Analysis of time evolution of the quantum entanglement shows that Bell states can be generated. A possible implementation of the couplers is suggested in a pumped double-ring cavity with resonantly enhanced Kerr nonlinearities in an electromagnetically induced transparency scheme. The fragility of the generated states and their entanglement due to the standard dissipation and phase damping are discussed by numerically solving two types of master equations.


PACS

42.65.Hw Phase conjugation; photorefractive and Kerr effects

42.50.Dv Quantum state engineering and measurements

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.67.Lx Quantum computation architectures and implementations

42.50.Pq Cavity quantum electrodynamics; micromasers

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

Subjects

Computational physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 7 (14 April 2006)

Received 9 August 2005, in final form 26 February 2006

Published 20 March 2006



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