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Canadian Journal of Physics

Exchange of nonclassical properties between two interacting modes of light and mutual conversion of the Fock and coherent states

Jing Wen Fu, X.-C. Gao, Jing‐Bo Xu, X.-B. Zou

Published Jan 1, 1999• 8 citations
Publisher

Abstract

The invariant-related unitary transformation method is used to study the exchange of nonclassical properties between two interacting modes of light. With the aid of numerical computation, it is of interest to find that the mutual conversion of the Fock state and the coherent state is attained when the interaction is chosen appropriately.PACS Nos.: 03.65.Ge, 42.50.Ar

DOI
10.1139/cjp-77-3-211

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The invariant-related unitary transformation method is used to study the exchange of nonclassical properties between two interacting modes of light. With the aid of numerical computation, it is of interest to find that the mutual conversion of the Fock state and the coherent state is attained when the interaction is chosen appropriately.PACS Nos.: 03.65.Ge, 42.50.Ar
Abstract The Fock state is widely regarded as the most nonclassical quantum state of light and has great potential in the areas of quantum computation and quantum sensing. Numerous methods have been proposed to generate Fock states and extremely number-squeezed states, or quasi-Fock states. To utilize natural light for quantum technologies, it is necessary to develop methods for transforming classical light into quasi-Fock states. Thus, we demonstrated that through the collective interaction of light and atoms in the Tavis–Cummings model, we can amplify classical light, such as thermal states and coherent states, and transform those states into quasi-Fock states. To analyze this process, we introduce theoretical tools for studying number state–multi-atom interactions and provide a comprehensive analysis of Tavis–Cummings dynamics, rather than relying on extensions of the Jaynes–Cummings model. Our results reveal that the emergence of nearly sinusoidal emission-absorption oscillations, periodic oscillation of photon number variance, and intrinsic nonlinear effects collectively establishes the necessary condition for deterministic conversion of classical light into quasi-Fock states.
We show that appropriate nonclassical photon states can attain Heisenberg-limited sensitivity in polarimetric measurements, in which the squared amplitudes of the photon states are measured. These photon states, which can be constructed from the two-mode Fock states, are found as the eigenstates of a Hermitian operator, which is closely related to the quantum Stokes operators. The algebraic property of the Hermitian operator governs the interferometric behavior in polarimetric interactions and provides the frequency of the interferometric fringes scaled by the total number of photons of the state. Thus, the polarimetry is able to achieve Heisenberg-limited sensitivity.