Controlling a whispering-gallery-doublet-mode avoided frequency crossing: Strong coupling between photon bosonic and spin degrees of freedom

Maxim Goryachev, W.G. Farr, Daniel Creedon, Michael Tobar

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    Abstract

    A combination of electron spin interactions in a magnetic field allows us to control the resonance frequencies of a high-Q whispering-gallery (WG) cavity mode doublet, resulting in precise measurements of an avoided crossing between the two modes comprising the doublet. We show that the resonant photons effectively behave as spin-12 particles and that the physical origins of the doublet phenomenon arise from an energy splitting between the states of photon spin angular momentum. The exclusive role of the photon spin in splitting the mode frequency is emphasized, and we demonstrate that the gyrotropic and anisotropic properties of the crystalline media supporting the WG mode lead to strong coupling between the bosonic and the spin degrees of freedom of cavity photons. Despite the demonstrated similarities to Jaynes-Cummings-type systems, the mode doublet system exhibits a significant difference due to its linearity. Unlike traditional experiments dealing with interactions between fields and matter, here the crystalline medium plays a role of macroscopic symmetry breaking, assisting in the strong coupling between these photon degrees of freedom. Such a regime is demonstrated experimentally with a method to effectively control the photon spin state. Our experiments demonstrate controllable time-reversal symmetry breaking in a high-Q cavity. © 2014 American Physical Society.
    Original languageEnglish
    Article number013810
    Number of pages5
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume89
    Issue number1
    DOIs
    Publication statusPublished - 13 Jan 2014

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    whispering gallery modes
    degrees of freedom
    photons
    cavities
    Q factors
    broken symmetry
    electron spin
    linearity
    angular momentum
    interactions
    magnetic fields

    Cite this

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    title = "Controlling a whispering-gallery-doublet-mode avoided frequency crossing: Strong coupling between photon bosonic and spin degrees of freedom",
    abstract = "A combination of electron spin interactions in a magnetic field allows us to control the resonance frequencies of a high-Q whispering-gallery (WG) cavity mode doublet, resulting in precise measurements of an avoided crossing between the two modes comprising the doublet. We show that the resonant photons effectively behave as spin-12 particles and that the physical origins of the doublet phenomenon arise from an energy splitting between the states of photon spin angular momentum. The exclusive role of the photon spin in splitting the mode frequency is emphasized, and we demonstrate that the gyrotropic and anisotropic properties of the crystalline media supporting the WG mode lead to strong coupling between the bosonic and the spin degrees of freedom of cavity photons. Despite the demonstrated similarities to Jaynes-Cummings-type systems, the mode doublet system exhibits a significant difference due to its linearity. Unlike traditional experiments dealing with interactions between fields and matter, here the crystalline medium plays a role of macroscopic symmetry breaking, assisting in the strong coupling between these photon degrees of freedom. Such a regime is demonstrated experimentally with a method to effectively control the photon spin state. Our experiments demonstrate controllable time-reversal symmetry breaking in a high-Q cavity. {\circledC} 2014 American Physical Society.",
    author = "Maxim Goryachev and W.G. Farr and Daniel Creedon and Michael Tobar",
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    doi = "10.1103/PhysRevA.89.013810",
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    TY - JOUR

    T1 - Controlling a whispering-gallery-doublet-mode avoided frequency crossing: Strong coupling between photon bosonic and spin degrees of freedom

    AU - Goryachev, Maxim

    AU - Farr, W.G.

    AU - Creedon, Daniel

    AU - Tobar, Michael

    PY - 2014/1/13

    Y1 - 2014/1/13

    N2 - A combination of electron spin interactions in a magnetic field allows us to control the resonance frequencies of a high-Q whispering-gallery (WG) cavity mode doublet, resulting in precise measurements of an avoided crossing between the two modes comprising the doublet. We show that the resonant photons effectively behave as spin-12 particles and that the physical origins of the doublet phenomenon arise from an energy splitting between the states of photon spin angular momentum. The exclusive role of the photon spin in splitting the mode frequency is emphasized, and we demonstrate that the gyrotropic and anisotropic properties of the crystalline media supporting the WG mode lead to strong coupling between the bosonic and the spin degrees of freedom of cavity photons. Despite the demonstrated similarities to Jaynes-Cummings-type systems, the mode doublet system exhibits a significant difference due to its linearity. Unlike traditional experiments dealing with interactions between fields and matter, here the crystalline medium plays a role of macroscopic symmetry breaking, assisting in the strong coupling between these photon degrees of freedom. Such a regime is demonstrated experimentally with a method to effectively control the photon spin state. Our experiments demonstrate controllable time-reversal symmetry breaking in a high-Q cavity. © 2014 American Physical Society.

    AB - A combination of electron spin interactions in a magnetic field allows us to control the resonance frequencies of a high-Q whispering-gallery (WG) cavity mode doublet, resulting in precise measurements of an avoided crossing between the two modes comprising the doublet. We show that the resonant photons effectively behave as spin-12 particles and that the physical origins of the doublet phenomenon arise from an energy splitting between the states of photon spin angular momentum. The exclusive role of the photon spin in splitting the mode frequency is emphasized, and we demonstrate that the gyrotropic and anisotropic properties of the crystalline media supporting the WG mode lead to strong coupling between the bosonic and the spin degrees of freedom of cavity photons. Despite the demonstrated similarities to Jaynes-Cummings-type systems, the mode doublet system exhibits a significant difference due to its linearity. Unlike traditional experiments dealing with interactions between fields and matter, here the crystalline medium plays a role of macroscopic symmetry breaking, assisting in the strong coupling between these photon degrees of freedom. Such a regime is demonstrated experimentally with a method to effectively control the photon spin state. Our experiments demonstrate controllable time-reversal symmetry breaking in a high-Q cavity. © 2014 American Physical Society.

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    JO - Physical Review A (Atomic, Molecular and Optical Physics)

    JF - Physical Review A (Atomic, Molecular and Optical Physics)

    SN - 1050-2947

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