从非线性角度看光磁晶体的纠缠特性

M. Wanic, C. Jasiukiewicz, Z. Toklikishvili, V. Jandieri, M. Trybus, E. Jartych, S. K. Mishra, L. Chotorlishvili
{"title":"从非线性角度看光磁晶体的纠缠特性","authors":"M. Wanic, C. Jasiukiewicz, Z. Toklikishvili, V. Jandieri, M. Trybus, E. Jartych, S. K. Mishra, L. Chotorlishvili","doi":"arxiv-2406.09074","DOIUrl":null,"url":null,"abstract":"Optomagnonics is a new field of research in condensed matter physics and\nquantum optics focused on strong magnon-photon interactions. Particular\ninterest concerns realistic, experimentally feasible materials and prototype\ncheap elements for futuristic nanodevices implemented in the processing or\nstoring of quantum information. Quantifying the entanglement between two\ncontinuous bosonic modes, such as magnons and photons, is not trivial. The\nstate-of-the-art for today is the logarithmic negativity, calculated through\nthe quantum Langevin equations subjected to thermal noise. However, due to its\ncomplexity, this method requires further approximation. In the present work, we\npropose a new procedure that avoids the linearization of dynamics. Prior\nanalyzing the quantum entanglement, we explore the nonlinear semiclassical\ndynamics in detail and precisely define the phase space. The typical nonlinear\ndynamical system holds bifurcation points and fixed points of different\ncharacters in its phase space. Our main finding is that entanglement is not\ndefined in the Saddle Point region. On the other hand, the maximum of the\nentanglement corresponds to the region near the border between the Stable node\nand Stable spiral regions. In numerical calculations, we considered a\nparticular system: optomagnonic crystal based on the yttrium iron garnet (YIG)\nslab with the periodic air holes drilled in the slab. In our case,\nMagnon-photon interaction occurs due to the magneto-electric effect in YIG. We\nprovide explicit derivation of the coupling term. Besides, we calculate photon\nmodes for a particular geometry of the optomagnonic crystal. We analyzed the\namplitude-frequency characteristics of the optomagnonic crystal and showed that\ndue to the instability region, one could efficiently switch the mean magnon\nnumbers in the system and control entanglement in the system.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Entanglement properties of optomagnonic crystal from nonlinear perspective\",\"authors\":\"M. Wanic, C. Jasiukiewicz, Z. Toklikishvili, V. Jandieri, M. Trybus, E. Jartych, S. K. Mishra, L. Chotorlishvili\",\"doi\":\"arxiv-2406.09074\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optomagnonics is a new field of research in condensed matter physics and\\nquantum optics focused on strong magnon-photon interactions. Particular\\ninterest concerns realistic, experimentally feasible materials and prototype\\ncheap elements for futuristic nanodevices implemented in the processing or\\nstoring of quantum information. Quantifying the entanglement between two\\ncontinuous bosonic modes, such as magnons and photons, is not trivial. The\\nstate-of-the-art for today is the logarithmic negativity, calculated through\\nthe quantum Langevin equations subjected to thermal noise. However, due to its\\ncomplexity, this method requires further approximation. In the present work, we\\npropose a new procedure that avoids the linearization of dynamics. Prior\\nanalyzing the quantum entanglement, we explore the nonlinear semiclassical\\ndynamics in detail and precisely define the phase space. The typical nonlinear\\ndynamical system holds bifurcation points and fixed points of different\\ncharacters in its phase space. Our main finding is that entanglement is not\\ndefined in the Saddle Point region. On the other hand, the maximum of the\\nentanglement corresponds to the region near the border between the Stable node\\nand Stable spiral regions. In numerical calculations, we considered a\\nparticular system: optomagnonic crystal based on the yttrium iron garnet (YIG)\\nslab with the periodic air holes drilled in the slab. In our case,\\nMagnon-photon interaction occurs due to the magneto-electric effect in YIG. We\\nprovide explicit derivation of the coupling term. Besides, we calculate photon\\nmodes for a particular geometry of the optomagnonic crystal. We analyzed the\\namplitude-frequency characteristics of the optomagnonic crystal and showed that\\ndue to the instability region, one could efficiently switch the mean magnon\\nnumbers in the system and control entanglement in the system.\",\"PeriodicalId\":501167,\"journal\":{\"name\":\"arXiv - PHYS - Chaotic Dynamics\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Chaotic Dynamics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.09074\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Chaotic Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.09074","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

光磁学是凝聚态物理学和量子光学的一个新研究领域,其研究重点是强磁子-光子相互作用。它特别关注用于处理或存储量子信息的未来纳米器件的现实的、实验上可行的材料和原型廉价元件。量化磁子和光子等双连续玻色子模式之间的纠缠并非易事。目前最先进的方法是通过量子朗格文方程计算出的对数负性,它受到热噪声的影响。然而,由于其复杂性,这种方法需要进一步近似。在本研究中,我们提出了一种避免动态线性化的新方法。在分析量子纠缠之前,我们详细探讨了非线性半经典动力学,并精确定义了相空间。典型的非线性动力学系统在其相空间中存在不同性质的分岔点和固定点。我们的主要发现是,纠缠在鞍点区域并不确定。另一方面,纠缠的最大值对应于稳定节点和稳定螺旋区域边界附近的区域。在数值计算中,我们考虑了不同的系统:基于钇铁石榴石(YIG)板并在板上钻有周期性气孔的光磁晶体。我们对耦合项进行了明确的推导。此外,我们还计算了光磁晶体特定几何形状的光子模式。我们分析了光磁晶体的幅频特性,结果表明,由于存在不稳定区,人们可以有效地切换系统中的平均磁数,并控制系统中的纠缠。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Entanglement properties of optomagnonic crystal from nonlinear perspective
Optomagnonics is a new field of research in condensed matter physics and quantum optics focused on strong magnon-photon interactions. Particular interest concerns realistic, experimentally feasible materials and prototype cheap elements for futuristic nanodevices implemented in the processing or storing of quantum information. Quantifying the entanglement between two continuous bosonic modes, such as magnons and photons, is not trivial. The state-of-the-art for today is the logarithmic negativity, calculated through the quantum Langevin equations subjected to thermal noise. However, due to its complexity, this method requires further approximation. In the present work, we propose a new procedure that avoids the linearization of dynamics. Prior analyzing the quantum entanglement, we explore the nonlinear semiclassical dynamics in detail and precisely define the phase space. The typical nonlinear dynamical system holds bifurcation points and fixed points of different characters in its phase space. Our main finding is that entanglement is not defined in the Saddle Point region. On the other hand, the maximum of the entanglement corresponds to the region near the border between the Stable node and Stable spiral regions. In numerical calculations, we considered a particular system: optomagnonic crystal based on the yttrium iron garnet (YIG) slab with the periodic air holes drilled in the slab. In our case, Magnon-photon interaction occurs due to the magneto-electric effect in YIG. We provide explicit derivation of the coupling term. Besides, we calculate photon modes for a particular geometry of the optomagnonic crystal. We analyzed the amplitude-frequency characteristics of the optomagnonic crystal and showed that due to the instability region, one could efficiently switch the mean magnon numbers in the system and control entanglement in the system.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Tunneling Time for Walking Droplets on an Oscillating Liquid Surface Rydberg excitons in cuprous oxide: A two-particle system with classical chaos Disruption of exo-asteroids around white dwarfs and the release of dust particles in debris rings in co-orbital motion Machine-aided guessing and gluing of unstable periodic orbits Nonequilibrium dynamics of coupled oscillators under the shear-velocity boundary condition
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1