2019
DOI: 10.1007/s11433-018-9344-8
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Theory of the magnon Kerr effect in cavity magnonics

Abstract: We develop a theory for the magnon Kerr effect in a cavity magnonics system, consisting of magnons in a small yttrium iron garnet (YIG) sphere strongly coupled to cavity photons, and use it to study the bistability in this hybrid system. To have a complete picture of the bistability phenomenon, we analyze two different cases in driving the cavity magnonics system, i.e., directly pumping the YIG sphere and the cavity, respectively. In both cases, the magnon frequency shifts due to the Kerr effect exhibit a simi… Show more

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Cited by 89 publications
(65 citation statements)
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“…Studies of magnons (or their classical siblings, spin waves) began approximately 90 years ago. Interest in magnonic properties has surged in recent years because magnons are fundamentally important for understanding magnetic phase transitions and for developing applications [4][5][6][7][8]. The magnonic spectrum of a given material depends on the exchange interaction in the material, which is affected by interior and external factors such as shifted atomic positions and the presence of an electric field.…”
Section: Introductionmentioning
confidence: 99%
“…Studies of magnons (or their classical siblings, spin waves) began approximately 90 years ago. Interest in magnonic properties has surged in recent years because magnons are fundamentally important for understanding magnetic phase transitions and for developing applications [4][5][6][7][8]. The magnonic spectrum of a given material depends on the exchange interaction in the material, which is affected by interior and external factors such as shifted atomic positions and the presence of an electric field.…”
Section: Introductionmentioning
confidence: 99%
“…The magnetocrystalline anisotropy energy measures the energy cost when tuning the magnetization orientation from the easy axis to the hard axis. Mathematically, the energy term is proportional to S 2 z (S z is the macrospin operator) and a self-Kerr term K s m † mm † m can be obtained, where K s is the Kerr coefficient and m † (m) is the creation (annihilation) operator of the magnon mode [60,61]. When the magnon mode is pumped to generate a certain number of excitations, the precession angle of the magnetization increases.…”
Section: System and Theoretical Modelmentioning
confidence: 99%
“…A large frequency detuning between these two modes is found. When the Kittel mode or HMS mode is pumped to generate a certain number of magnon excitations, the pumped mode gains a frequency shift due to the self-Kerr effect [40,[60][61][62][63][64][65]. Meanwhile, the frequency of the undriven mode also shifts due to the cross-Kerr effect between these two modes.…”
Section: Introductionmentioning
confidence: 99%
“…We thus focus on the controllability of pathway interferences through the phase difference between the cavity-probe tone and the magnon-pump tone, which is introduced by the coupling loops' technology [61][62][63][64]. The direct magnon pump is becoming useful in realizing the light-wave interface [46][47][48], enhancing the Kerr nonlinearity [65][66][67], and has also been adopted to observe the magnetostrictioninduced quantum entanglement [68][69][70][71][72], among other applications.…”
Section: Introductionmentioning
confidence: 99%