Spin-photon interaction in a cavity with time-reversal symmetry breaking

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

    Research output: Contribution to journalArticle

    17 Citations (Scopus)
    155 Downloads (Pure)

    Abstract

    Employing a sapphire whispering gallery mode resonator, we demonstrate features of the spin-photon interaction in cavities with broken time-reflection symmetry. The broken symmetry leads to a lifting of the degeneracy between left-handed and right-handed polarized cavity photons, which results in an observable gyrotropic effect. In the high-Q cavity limit, such a situation requires a modification of the Tavis-Cummings Hamiltonian to take into account conservation of spin angular momentum and the corresponding selection rules. As a result, the system is represented by a system of two linearly coupled bosonic modes, with each one coupled to its own subensemble of two-level systems with different energy splittings. In the experimental example, these subensembles originate from Fe3+ impurity ions effectively seen as a two-level system at the interaction frequency. The temperature dependence of the population of each subensemble (in terms of effective susceptibility of the medium) is determined experimentally in accordance with the theoretical predictions revealing various paramagnetic impurity types in the solid. The regimes of backscatterer and spin ensemble domination are discussed and compared. © 2014 American Physical Society.
    Original languageEnglish
    Article number224407
    Pages (from-to)224407-1 - 224407-7
    Number of pages7
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume89
    Issue number22
    DOIs
    Publication statusPublished - 11 Jun 2014

    Fingerprint

    broken symmetry
    Photons
    Impurities
    Whispering gallery modes
    Hamiltonians
    cavities
    Aluminum Oxide
    Angular momentum
    photons
    Sapphire
    Resonators
    Conservation
    impurities
    whispering gallery modes
    interactions
    Ions
    coupled modes
    conservation
    Q factors
    sapphire

    Cite this

    @article{23677f108d524e6b820726dacd130ace,
    title = "Spin-photon interaction in a cavity with time-reversal symmetry breaking",
    abstract = "Employing a sapphire whispering gallery mode resonator, we demonstrate features of the spin-photon interaction in cavities with broken time-reflection symmetry. The broken symmetry leads to a lifting of the degeneracy between left-handed and right-handed polarized cavity photons, which results in an observable gyrotropic effect. In the high-Q cavity limit, such a situation requires a modification of the Tavis-Cummings Hamiltonian to take into account conservation of spin angular momentum and the corresponding selection rules. As a result, the system is represented by a system of two linearly coupled bosonic modes, with each one coupled to its own subensemble of two-level systems with different energy splittings. In the experimental example, these subensembles originate from Fe3+ impurity ions effectively seen as a two-level system at the interaction frequency. The temperature dependence of the population of each subensemble (in terms of effective susceptibility of the medium) is determined experimentally in accordance with the theoretical predictions revealing various paramagnetic impurity types in the solid. The regimes of backscatterer and spin ensemble domination are discussed and compared. {\circledC} 2014 American Physical Society.",
    author = "Maxim Goryachev and W.G. Farr and Daniel Creedon and Michael Tobar",
    year = "2014",
    month = "6",
    day = "11",
    doi = "10.1103/PhysRevB.89.224407",
    language = "English",
    volume = "89",
    pages = "224407--1 -- 224407--7",
    journal = "Physical Review B",
    issn = "1098-0121",
    publisher = "American Physical Society",
    number = "22",

    }

    Spin-photon interaction in a cavity with time-reversal symmetry breaking. / Goryachev, Maxim; Farr, W.G.; Creedon, Daniel; Tobar, Michael.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 89, No. 22, 224407, 11.06.2014, p. 224407-1 - 224407-7.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Spin-photon interaction in a cavity with time-reversal symmetry breaking

    AU - Goryachev, Maxim

    AU - Farr, W.G.

    AU - Creedon, Daniel

    AU - Tobar, Michael

    PY - 2014/6/11

    Y1 - 2014/6/11

    N2 - Employing a sapphire whispering gallery mode resonator, we demonstrate features of the spin-photon interaction in cavities with broken time-reflection symmetry. The broken symmetry leads to a lifting of the degeneracy between left-handed and right-handed polarized cavity photons, which results in an observable gyrotropic effect. In the high-Q cavity limit, such a situation requires a modification of the Tavis-Cummings Hamiltonian to take into account conservation of spin angular momentum and the corresponding selection rules. As a result, the system is represented by a system of two linearly coupled bosonic modes, with each one coupled to its own subensemble of two-level systems with different energy splittings. In the experimental example, these subensembles originate from Fe3+ impurity ions effectively seen as a two-level system at the interaction frequency. The temperature dependence of the population of each subensemble (in terms of effective susceptibility of the medium) is determined experimentally in accordance with the theoretical predictions revealing various paramagnetic impurity types in the solid. The regimes of backscatterer and spin ensemble domination are discussed and compared. © 2014 American Physical Society.

    AB - Employing a sapphire whispering gallery mode resonator, we demonstrate features of the spin-photon interaction in cavities with broken time-reflection symmetry. The broken symmetry leads to a lifting of the degeneracy between left-handed and right-handed polarized cavity photons, which results in an observable gyrotropic effect. In the high-Q cavity limit, such a situation requires a modification of the Tavis-Cummings Hamiltonian to take into account conservation of spin angular momentum and the corresponding selection rules. As a result, the system is represented by a system of two linearly coupled bosonic modes, with each one coupled to its own subensemble of two-level systems with different energy splittings. In the experimental example, these subensembles originate from Fe3+ impurity ions effectively seen as a two-level system at the interaction frequency. The temperature dependence of the population of each subensemble (in terms of effective susceptibility of the medium) is determined experimentally in accordance with the theoretical predictions revealing various paramagnetic impurity types in the solid. The regimes of backscatterer and spin ensemble domination are discussed and compared. © 2014 American Physical Society.

    U2 - 10.1103/PhysRevB.89.224407

    DO - 10.1103/PhysRevB.89.224407

    M3 - Article

    VL - 89

    SP - 224407-1 - 224407-7

    JO - Physical Review B

    JF - Physical Review B

    SN - 1098-0121

    IS - 22

    M1 - 224407

    ER -