Quantum circuits for amplification of Kerr nonlinearity via quadrature squeezing

Phase shifts induced by the Kerr effect are usually very small at the single-photon level. We propose two circuits for enhancing the cross-Kerr phase shift by applying one- and two-mode quadrature squeezing operators. Our results are based on the vector coherent state theory and can be implemented b...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2014-07, Vol.47 (14), p.1-7
Main Authors: Bartkowiak, Monika, Wu, Lian-Ao, Miranowicz, Adam
Format: Article
Language:English
Subjects:
Circuits
Coherence
Compressing
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Kerr effect
Kerr effects
Nonclassical field states
squeezed, antibunched and sub-poissonian states
operational definitions of the phase of the field
phase measurements
Nonlinear optical crystals
Nonlinear optics
Nonlinearity
Optical materials
Optics
Phase conjugation, optical mixing
photorefractive and kerr effects
Phase shift
Physics
Quadratures
quantum information
Quantum optics
squeezing
State vectors
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Summary:Phase shifts induced by the Kerr effect are usually very small at the single-photon level. We propose two circuits for enhancing the cross-Kerr phase shift by applying one- and two-mode quadrature squeezing operators. Our results are based on the vector coherent state theory and can be implemented by physical operations satisfying the commutation relations for generators of the generalized special unitary group, SU(1,1). While the proposed methods could be useful for the realization of quantum optical entangling gates based on Kerr nonlinear media at the single-photon level, they also indicate a general alternative approach to enhance higher-order nonlinearities by applying lower-order nonlinear effects.
ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/47/14/145501