Research progress of hybrid cavity-magnon systems

Rui-Chang Shen; Guo-Qiang Zhang; Yi-Pu Wang; Jian-Qiang You

doi:10.7498/aps.68.20191608

Journals >Acta Physica Sinica >Volume 68 >Issue 23 >Page 230305-1 > Article

Acta Physica Sinica
Vol. 68, Issue 23, 230305-1 (2019)

Research progress of hybrid cavity-magnon systems

Rui-Chang Shen^1,2, Guo-Qiang Zhang², Yi-Pu Wang², and Jian-Qiang You^2,*

Author Affiliations

¹Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing 100193, China

²Department of Physics, Zhejiang University, Hangzhou 310027, China

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DOI: 10.7498/aps.68.20191608 Cite this Article

Rui-Chang Shen, Guo-Qiang Zhang, Yi-Pu Wang, Jian-Qiang You. Research progress of hybrid cavity-magnon systems[J]. Acta Physica Sinica, 2019, 68(23): 230305-1 Copy Citation Text

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Abstract

Recently, the hybrid cavity-magnon system has attracted considerable interest. Owing to the good tunability of magnons, it is promising to use the magnons as a core to implement a hybrid quantum platform for transferring information among different quantum systems. In this article, we first briefly review the cavity magnonic systems and clarify the coupling mechanism between magnons and microwave photons. Then, we introduce the latest research progress in the aspects of nonlinearity and pseudo-Hermiticity, including the bistability of cavity magnon polaritons, observation of the second-order exceptional point in a PT-symmetric hybrid cavity-magnon system, and the pseudo-Hermiticity with a third-order exceptional point.

Keywords

cavity magon polariton hybrid cavity-magnon system Kerr effect and bistability pseudo-Hermiticity and exceptional point

\begin{aligned} H_{S} = H_{c} + H_{m} + H_{I} \\ = & ω_{c} a^{†} a + ω_{m} b^{†} b + g_{m} (a^{†} b + a b^{†}) . \end{aligned}

(1)

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${H_{\rm{S}}} = {\omega _{\rm{c}}}{a^\dagger }a + {\omega _{\rm{m}}}{b^\dagger }b + K{b^\dagger }b{b^\dagger }b + {g_{\rm{m}}}\left( {{a^\dagger }b + a{b^\dagger }} \right), $

(2)

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\begin{aligned} p = u b - v a, \\ q = u b + v a, \end{aligned}

(3)

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\begin{aligned} u = {(\frac{Δ + \sqrt{Δ^{2} + 4 g_{m}^{2}}}{2 \sqrt{Δ^{2} + 4 g_{m}^{2}}})}^{1 / 2}, \\ v = {(1 - u^{2})}^{1 / 2}, \end{aligned}

(4)

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\begin{aligned} H = H_{0} + H_{K} + H_{d}, \\ H_{0} = ω_{L P} p^{†} p + ω_{U P} q^{†} q, \\ H_{K} = Δ_{L P} p^{†} p + Δ_{U P} q^{†} q, \\ H_{d} = u Ω_{d} (p^{†} e^{- i ω_{d} t} + p e^{i ω_{d} t}) \\ + v Ω_{d} (q^{†} e^{- i ω_{d} t} + q e^{i ω_{d} t}), \end{aligned}

(5)

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$\left[ {{{\left( {{\varDelta _{{\rm{LP}}}} + {\delta _{{\rm{LP}}}}} \right)}^2} + {{\left( {\frac{{{\gamma _{{\rm{LP}}}}}}{2}} \right)}^2}} \right]{\varDelta _{{\rm{LP}}}} - {u^6}c{P_{\rm{d}}} = 0,$

(6)

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${H_{{\rm{eff}}}} = \left( {

\begin{matrix} ω_{c} + i κ_{g} & g_{m} \\ g_{m} & ω_{m} - i γ_{m} \end{matrix}

} \right),$

(7)

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${\omega _{1,2}} = {\omega _{\rm{c}}} \pm \sqrt {g_{\rm{m}}^2 - \gamma _{\rm{m}}^2} , $

(8)

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\begin{aligned} H_{S} = & ω_{c} a^{†} a + ω_{1} b_{1}^{†} b_{1} + ω_{2} b_{2}^{†} b_{2} \\ + g_{1} (a^{†} b_{1} + a b_{1}^{†}) + g_{2} (a^{†} b_{2} + a b_{2}^{†}), \end{aligned}

(9)

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${H_{{\rm{eff}}}} = \left( {

\begin{matrix} ω_{c} + i κ_{g} & g_{1} & g_{2} \\ g_{1} & ω_{1} - i γ_{1} & 0 \\ g_{2} & 0 & ω_{2} - i γ_{2} \end{matrix}

} \right), $

(10)

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\begin{array}{l} Ω_{0} = ω_{c}, \\ Ω_{\pm} = ω_{c} \pm \sqrt{3 g_{m}^{2} - 4 γ_{m}^{2}}, \end{array}

(11)

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Rui-Chang Shen, Guo-Qiang Zhang, Yi-Pu Wang, Jian-Qiang You. Research progress of hybrid cavity-magnon systems[J]. Acta Physica Sinica, 2019, 68(23): 230305-1

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