{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T06:19:22Z","timestamp":1768025962834,"version":"3.49.0"},"reference-count":67,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T00:00:00Z","timestamp":1667779200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T00:00:00Z","timestamp":1667779200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11775190"],"award-info":[{"award-number":["11775190"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Natural Science Foundation of Zhejiang Province","doi-asserted-by":"publisher","award":["LZ20A040002"],"award-info":[{"award-number":["LZ20A040002"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-022-03686-4","type":"journal-article","created":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T18:08:41Z","timestamp":1667844521000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Robust mechanical entanglement in an atom-assisted hybrid optomechanical system"],"prefix":"10.1007","volume":"21","author":[{"given":"Yuan","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7953-3752","authenticated-orcid":false,"given":"Ai-Xi","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,11,7]]},"reference":[{"key":"3686_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139028509","volume-title":"Quantum Information, Computation and Communication","author":"JA Jones","year":"2012","unstructured":"Jones, J.A., Jaksch, D.: Quantum Information, Computation and Communication. Cambridge University Press, Cambridge (2012)"},{"issue":"7","key":"3686_CR2","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1063\/1.2012461","volume":"58","author":"KC Schwab","year":"2005","unstructured":"Schwab, K.C., Roukes, M.L.: Putting mechanics into quantum mechanics. Phys. Today 58(7), 36\u201342 (2005)","journal-title":"Phys. Today"},{"issue":"6","key":"3686_CR3","doi-asserted-by":"publisher","first-page":"472","DOI":"10.1038\/nphys920","volume":"4","author":"K Goda","year":"2008","unstructured":"Goda, K., Miyakawa, O., Mikhailov, E.E., Saraf, S., Adhikari, R., McKenzie, K., Ward, R., Vass, S., Weinstein, A.J., Mavalvala, N.: A quantum-enhanced prototype gravitational-wave detector. Nat. Phys. 4(6), 472\u2013476 (2008)","journal-title":"Nat. Phys."},{"issue":"3","key":"3686_CR4","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1038\/nphoton.2012.346","volume":"7","author":"MA Taylor","year":"2013","unstructured":"Taylor, M.A., Janousek, J., Daria, V., Knittel, J., Hage, B., Bachor, H.A., Bowen, W.P.: Biological measurement beyond the quantum limit. Nat. Photon. 7(3), 229\u2013233 (2013)","journal-title":"Nat. Photon."},{"issue":"5","key":"3686_CR5","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1016\/j.physrep.2011.12.004","volume":"511","author":"M Poot","year":"2012","unstructured":"Poot, M., van der Zant, H.S.: Mechanical systems in the quantum regime. Phys. Rep. 511(5), 273\u2013335 (2012)","journal-title":"Phys. Rep."},{"key":"3686_CR6","doi-asserted-by":"publisher","first-page":"1391","DOI":"10.1103\/RevModPhys.86.1391","volume":"86","author":"M Aspelmeyer","year":"2014","unstructured":"Aspelmeyer, M., Kippenberg, T.J., Marquardt, F.: Cavity optomechanics. Rev. Mod. Phys. 86, 1391\u20131452 (2014)","journal-title":"Rev. Mod. Phys."},{"issue":"5893","key":"3686_CR7","doi-asserted-by":"publisher","first-page":"1172","DOI":"10.1126\/science.1156032","volume":"321","author":"TJ Kippenberg","year":"2008","unstructured":"Kippenberg, T.J., Vahala, K.J.: Cavity optomechanics: back-action at the mesoscale. Science 321(5893), 1172\u20131176 (2008)","journal-title":"Science"},{"issue":"7","key":"3686_CR8","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1063\/PT.3.1640","volume":"65","author":"M Aspelmeyer","year":"2012","unstructured":"Aspelmeyer, M., Meystre, P., Schwab, K.: Quantum optomechanics. Phys. Today 65(7), 29\u201335 (2012)","journal-title":"Phys. Today"},{"issue":"5","key":"3686_CR9","doi-asserted-by":"publisher","first-page":"4175","DOI":"10.1103\/PhysRevA.56.4175","volume":"56","author":"S Bose","year":"1997","unstructured":"Bose, S., Jacobs, K., Knight, P.: Preparation of nonclassical states in cavities with a moving mirror. Phys. Rev. A 56(5), 4175 (1997)","journal-title":"Phys. Rev. A"},{"issue":"13","key":"3686_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.130401","volume":"91","author":"W Marshall","year":"2003","unstructured":"Marshall, W., Simon, C., Penrose, R., Bouwmeester, D.: Towards quantum superpositions of a mirror. Phys. Rev. Lett. 91(13), 130401 (2003)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"3686_CR11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.83.062335","volume":"83","author":"L Mazzola","year":"2011","unstructured":"Mazzola, L., Paternostro, M.: Distributing fully optomechanical quantum correlations. Phys. Rev. A 83(6), 062335 (2011)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3686_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.063819","volume":"88","author":"XW Xu","year":"2013","unstructured":"Xu, X.W., Wang, H., Zhang, J., Liu, Y.X.: Engineering of nonclassical motional states in optomechanical systems. Phys. Rev. A 88(6), 063819 (2013)","journal-title":"Phys. Rev. A"},{"issue":"7115","key":"3686_CR13","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1038\/nature05273","volume":"444","author":"S Gigan","year":"2006","unstructured":"Gigan, S., B\u00f6hm, H., Paternostro, M., Blaser, F., Langer, G., Hertzberg, J., Schwab, K.C., B\u00e4uerle, D., Aspelmeyer, M., Zeilinger, A.: Self-cooling of a micromirror by radiation pressure. Nature 444(7115), 67\u201370 (2006)","journal-title":"Nature"},{"issue":"24","key":"3686_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.243905","volume":"97","author":"A Schliesser","year":"2006","unstructured":"Schliesser, A., Del\u2019Haye, P., Nooshi, N., Vahala, K., Kippenberg, T.J.: Radiation pressure cooling of a micromechanical oscillator using dynamical backaction. Phys. Rev. Lett. 97(24), 243905 (2006)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"3686_CR15","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1038\/nphys939","volume":"4","author":"A Schliesser","year":"2008","unstructured":"Schliesser, A., Rivi\u00e8re, R., Anetsberger, G., Arcizet, O., Kippenberg, T.J.: Resolved-sideband cooling of a micromechanical oscillator. Nat. Phys. 4(5), 415\u2013419 (2008)","journal-title":"Nat. Phys."},{"issue":"6","key":"3686_CR16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.83.063835","volume":"83","author":"R Riviere","year":"2011","unstructured":"Riviere, R., Deleglise, S., Weis, S., Gavartin, E., Arcizet, O., Schliesser, A., Kippenberg, T.J.: Optomechanical sideband cooling of a micromechanical oscillator close to the quantum ground state. Phys. Rev. A 83(6), 063835 (2011)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3686_CR17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.79.063819","volume":"79","author":"K J\u00e4hne","year":"2009","unstructured":"J\u00e4hne, K., Genes, C., Hammerer, K., Wallquist, M., Polzik, E., Zoller, P.: Cavity-assisted squeezing of a mechanical oscillator. Phys. Rev. A 79(6), 063819 (2009)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3686_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.83.033820","volume":"83","author":"JQ Liao","year":"2011","unstructured":"Liao, J.Q., Law, C., et al.: Parametric generation of quadrature squeezing of mirrors in cavity optomechanics. Phys. Rev. A 83(3), 033820 (2011)","journal-title":"Phys. Rev. A"},{"issue":"4","key":"3686_CR19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.043844","volume":"93","author":"G Agarwal","year":"2016","unstructured":"Agarwal, G., Huang, S.: Strong mechanical squeezing and its detection. Phys. Rev. A 93(4), 043844 (2016)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3686_CR20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.030405","volume":"98","author":"D Vitali","year":"2007","unstructured":"Vitali, D., Gigan, S., Ferreira, A., B\u00f6hm, H., Tombesi, P., Guerreiro, A., Vedral, V., Zeilinger, A., Aspelmeyer, M.: Optomechanical entanglement between a movable mirror and a cavity field. Phys. Rev. Lett. 98(3), 030405 (2007)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"3686_CR21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.050307","volume":"77","author":"C Genes","year":"2008","unstructured":"Genes, C., Vitali, D., Tombesi, P.: Emergence of atom-light-mirror entanglement inside an optical cavity. Phys. Rev. A 77(5), 050307 (2008)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3686_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.84.063850","volume":"84","author":"S Barzanjeh","year":"2011","unstructured":"Barzanjeh, S., Naderi, M., Soltanolkotabi, M.: Steady-state entanglement and normal-mode splitting in an atom-assisted optomechanical system with intensity-dependent coupling. Phys. Rev. A 84(6), 063850 (2011)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3686_CR23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.68.013808","volume":"68","author":"J Zhang","year":"2003","unstructured":"Zhang, J., Peng, K., Braunstein, S.L.: Quantum-state transfer from light to macroscopic oscillators. Phys. Rev. A 68(1), 013808 (2003)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3686_CR24","doi-asserted-by":"publisher","first-page":"747","DOI":"10.1209\/epl\/i2005-10317-6","volume":"72","author":"M Pinard","year":"2005","unstructured":"Pinard, M., Dantan, A., Vitali, D., Arcizet, O., Briant, T., Heidmann, A.: Entangling movable mirrors in a double-cavity system. Europhys. Lett. 72(5), 747 (2005)","journal-title":"Europhys. Lett."},{"issue":"10","key":"3686_CR25","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/11\/10\/103044","volume":"11","author":"S Huang","year":"2009","unstructured":"Huang, S., Agarwal, G.: Entangling nanomechanical oscillators in a ring cavity by feeding squeezed light. New J. Phys. 11(10), 103044 (2009)","journal-title":"New J. Phys."},{"issue":"9","key":"3686_CR26","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/10\/9\/095014","volume":"10","author":"G Vacanti","year":"2008","unstructured":"Vacanti, G., Paternostro, M., Palma, G.M., Vedral, V.: Optomechanical to mechanical entanglement transformation. New J. Phys. 10(9), 095014 (2008)","journal-title":"New J. Phys."},{"issue":"20","key":"3686_CR27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.200503","volume":"101","author":"MJ Hartmann","year":"2008","unstructured":"Hartmann, M.J., Plenio, M.B.: Steady state entanglement in the mechanical vibrations of two dielectric membranes. Phys. Rev. Lett. 101(20), 200503 (2008)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"3686_CR28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.85.033805","volume":"85","author":"C Joshi","year":"2012","unstructured":"Joshi, C., Larson, J., Jonson, M., Andersson, E., \u00d6hberg, P.: Entanglement of distant optomechanical systems. Phys. Rev. A 85(3), 033805 (2012)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3686_CR29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.89.014302","volume":"89","author":"JQ Liao","year":"2014","unstructured":"Liao, J.Q., Wu, Q.Q., Nori, F., et al.: Entangling two macroscopic mechanical mirrors in a two-cavity optomechanical system. Phys. Rev. A 89(1), 014302 (2014)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3686_CR30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.83.052117","volume":"83","author":"L Zhou","year":"2011","unstructured":"Zhou, L., Han, Y., Jing, J., Zhang, W.: Entanglement of nanomechanical oscillators and two-mode fields induced by atomic coherence. Phys. Rev. A 83(5), 052117 (2011)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3686_CR31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.84.033846","volume":"84","author":"R Ghobadi","year":"2011","unstructured":"Ghobadi, R., Bahrampour, A., Simon, C.: Quantum optomechanics in the bistable regime. Phys. Rev. A 84(3), 033846 (2011)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3686_CR32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.88.055801","volume":"88","author":"C Jiang","year":"2013","unstructured":"Jiang, C., Liu, H., Cui, Y., Li, X., Chen, G., Shuai, X.: Controllable optical bistability based on photons and phonons in a two-mode optomechanical system. Phys. Rev. A 88(5), 055801 (2013)","journal-title":"Phys. Rev. A"},{"key":"3686_CR33","doi-asserted-by":"crossref","unstructured":"Kyriienko, O., Liew, T.C.H., Shelykh, I.A.: Optomechanics with cavity polaritons: dissipative coupling and unconventional bistability. Phys. Rev. Lett. 112(7),(2014)","DOI":"10.1103\/PhysRevLett.112.076402"},{"issue":"4","key":"3686_CR34","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.81.041803","volume":"81","author":"GS Agarwal","year":"2010","unstructured":"Agarwal, G.S., Huang, S.: Electromagnetically induced transparency in mechanical effects of light. Phys. Rev. A 81(4), 041803 (2010)","journal-title":"Phys. Rev. A"},{"issue":"4","key":"3686_CR35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.83.043826","volume":"83","author":"S Huang","year":"2011","unstructured":"Huang, S., Agarwal, G.: Electromagnetically induced transparency with quantized fields in optocavity mechanics. Phys. Rev. A 83(4), 043826 (2011)","journal-title":"Phys. Rev. A"},{"issue":"6010","key":"3686_CR36","doi-asserted-by":"publisher","first-page":"1520","DOI":"10.1126\/science.1195596","volume":"330","author":"S Weis","year":"2010","unstructured":"Weis, S., Rivi\u00e8re, R., Del\u00e9glise, S., Gavartin, E., Arcizet, O., Schliesser, A., Kippenberg, T.J.: Optomechanically induced transparency. Science 330(6010), 1520\u20131523 (2010)","journal-title":"Science"},{"issue":"3","key":"3686_CR37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.81.033830","volume":"81","author":"S Huang","year":"2010","unstructured":"Huang, S., Agarwal, G.: Normal-mode splitting and antibunching in stokes and anti-stokes processes in cavity optomechanics: radiation-pressure-induced four-wave-mixing cavity optomechanics. Phys. Rev. A 81(3), 033830 (2010)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3686_CR38","doi-asserted-by":"publisher","first-page":"34004","DOI":"10.1209\/0295-5075\/104\/34004","volume":"104","author":"C Jiang","year":"2013","unstructured":"Jiang, C., Cui, Y., Liu, H.: Controllable four-wave mixing based on mechanical vibration in two-mode optomechanical systems. Europhys. Lett. 104(3), 34004 (2013)","journal-title":"Europhys. Lett."},{"issue":"3","key":"3686_CR39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.033806","volume":"97","author":"Z Li","year":"2018","unstructured":"Li, Z., You, X., Li, Y., Liu, Y.C., Peng, K.: Multimode four-wave mixing in an unresolved sideband optomechanical system. Phys. Rev. A 97(3), 033806 (2018)","journal-title":"Phys. Rev. A"},{"issue":"7341","key":"3686_CR40","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1038\/nature09933","volume":"472","author":"AH Safavi-Naeini","year":"2011","unstructured":"Safavi-Naeini, A.H., Alegre, T.M., Chan, J., Eichenfield, M., Winger, M., Lin, Q., Hill, J.T., Chang, D.E., Painter, O.: Electromagnetically induced transparency and slow light with optomechanics. Nature 472(7341), 69\u201373 (2011)","journal-title":"Nature"},{"key":"3686_CR41","doi-asserted-by":"crossref","unstructured":"Chen, B., Jiang, C., Zhu, K.D.: Slow light in a cavity optomechanical system with a Bose-Einstein condensate. Phys. Rev. A 83(5),(2011)","DOI":"10.1103\/PhysRevA.83.055803"},{"issue":"1","key":"3686_CR42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.87.013824","volume":"87","author":"D Tarhan","year":"2013","unstructured":"Tarhan, D., Huang, S., M\u00fcstecapl\u0131o\u011flu, \u00d6.E.: Superluminal and ultraslow light propagation in optomechanical systems. Phys. Rev. A 87(1), 013824 (2013)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3686_CR43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.023846","volume":"92","author":"MJ Akram","year":"2015","unstructured":"Akram, M.J., Khan, M.M., Saif, F.: Tunable fast and slow light in a hybrid optomechanical system. Phys. Rev. A 92(2), 023846 (2015)","journal-title":"Phys. Rev. A"},{"key":"3686_CR44","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1016\/j.optcom.2014.11.036","volume":"338","author":"KH Gu","year":"2015","unstructured":"Gu, K.H., Yan, X.B., Zhang, Y., Fu, C.B., Liu, Y.M., Wang, X., Wu, J.H.: Tunable slow and fast light in an atom-assisted optomechanical system. Opt. Commun. 338, 569\u2013573 (2015)","journal-title":"Opt. Commun."},{"issue":"3","key":"3686_CR45","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.71.034303","volume":"71","author":"\u00d6 \u00c7akir","year":"2005","unstructured":"\u00c7akir, \u00d6., Klyachko, A.A., Shumovsky, A.S.: Steady-state entanglement of two atoms created by classical driving field. Phys. Rev. A 71(3), 034303 (2005)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3686_CR46","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1088\/1367-2630\/7\/1\/072","volume":"7","author":"JB Xu","year":"2005","unstructured":"Xu, J.B., Li, S.B.: Control of the entanglement of two atoms in an optical cavity via white noise. New J. Phys. 7(1), 72 (2005)","journal-title":"New J. Phys."},{"issue":"3","key":"3686_CR47","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.72.032110","volume":"72","author":"M Fedorov","year":"2005","unstructured":"Fedorov, M., Efremov, M., Kazakov, A., Chan, K., Law, C., Eberly, J.: Spontaneous emission of a photon: Wave-packet structures and atom-photon entanglement. Phys. Rev. A 72(3), 032110 (2005)","journal-title":"Phys. Rev. A"},{"issue":"5676","key":"3686_CR48","doi-asserted-by":"publisher","first-page":"1456","DOI":"10.1126\/science.1099639","volume":"304","author":"DG Cory","year":"2004","unstructured":"Cory, D.G., Havel, T.F.: Ion entanglement in quantum information processing. Science 304(5676), 1456\u20131457 (2004)","journal-title":"Science"},{"issue":"10","key":"3686_CR49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.100505","volume":"111","author":"B Casabone","year":"2013","unstructured":"Casabone, B., Stute, A., Friebe, K., Brandst\u00e4tter, B., Sch\u00fcppert, K., Blatt, R., Northup, T.: Heralded entanglement of two ions in an optical cavity. Phys. Rev. Lett. 111(10), 100505 (2013)","journal-title":"Phys. Rev. Lett."},{"issue":"7399","key":"3686_CR50","doi-asserted-by":"publisher","first-page":"482","DOI":"10.1038\/nature11120","volume":"485","author":"A Stute","year":"2012","unstructured":"Stute, A., Casabone, B., Schindler, P., Monz, T., Schmidt, P., Brandst\u00e4tter, B., Northup, T., Blatt, R.: Tunable ion-photon entanglement in an optical cavity. Nature 485(7399), 482\u2013485 (2012)","journal-title":"Nature"},{"issue":"9","key":"3686_CR51","doi-asserted-by":"publisher","first-page":"1625","DOI":"10.1016\/j.physe.2011.05.010","volume":"43","author":"M Abdel-Aty","year":"2011","unstructured":"Abdel-Aty, M., Larson, J., Eleuch, H., Obada, A.: Multi-particle entanglement of charge qubits coupled to a nanoresonator. Physica E 43(9), 1625\u20131630 (2011)","journal-title":"Physica E"},{"issue":"10","key":"3686_CR52","doi-asserted-by":"publisher","first-page":"2099","DOI":"10.1364\/JOSAB.33.002099","volume":"33","author":"C Jiang","year":"2016","unstructured":"Jiang, C., Bian, X., Cui, Y., Chen, G.: Optical bistability and dynamics in an optomechanical system with a two-level atom. JOSA B 33(10), 2099\u20132104 (2016)","journal-title":"JOSA B"},{"issue":"6","key":"3686_CR53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.80.061803","volume":"80","author":"C Genes","year":"2009","unstructured":"Genes, C., Ritsch, H., Vitali, D.: Micromechanical oscillator ground-state cooling via resonant intracavity optical gain or absorption. Phys. Rev. A 80(6), 061803 (2009)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3686_CR54","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.84.051801","volume":"84","author":"C Genes","year":"2011","unstructured":"Genes, C., Ritsch, H., Drewsen, M., Dantan, A.: Atom-membrane cooling and entanglement using cavity electromagnetically induced transparency. Phys. Rev. A 84(5), 051801 (2011)","journal-title":"Phys. Rev. A"},{"issue":"15","key":"3686_CR55","doi-asserted-by":"publisher","first-page":"17979","DOI":"10.1364\/OE.22.017979","volume":"22","author":"Y Xiao","year":"2014","unstructured":"Xiao, Y., Yu, Y.F., Zhang, Z.M.: Controllable optomechanically induced transparency and ponderomotive squeezing in an optomechanical system assisted by an atomic ensemble. Opt. Express 22(15), 17979\u201317989 (2014)","journal-title":"Opt. Express"},{"key":"3686_CR56","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2932010","volume":"7","author":"X Su","year":"2019","unstructured":"Su, X., Huang, Y.M., Xiong, H.: Tunable second-order sideband generation in a hybrid cavity-atom optomechanical system. IEEE Access 7, 133832 (2019)","journal-title":"IEEE Access"},{"issue":"26","key":"3686_CR57","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.266403","volume":"93","author":"L Tian","year":"2004","unstructured":"Tian, L., Zoller, P.: Coupled ion-nanomechanical systems. Phys. Rev. Lett. 93(26), 266403 (2004)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"3686_CR58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.90.043825","volume":"90","author":"PC Ma","year":"2014","unstructured":"Ma, P.C., Zhang, J.Q., Xiao, Y., Feng, M., Zhang, Z.M.: Tunable double optomechanically induced transparency in an optomechanical system. Phys. Rev. A 90(4), 043825 (2014)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3686_CR59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.063827","volume":"91","author":"Q Wang","year":"2015","unstructured":"Wang, Q., Zhang, J.Q., Ma, P.C., Yao, C.M., Feng, M.: Precision measurement of the environmental temperature by tunable double optomechanically induced transparency with a squeezed field. Phys. Rev. A 91(6), 063827 (2015)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3686_CR60","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.100.013813","volume":"100","author":"TX Lu","year":"2019","unstructured":"Lu, T.X., Jiao, Y.F., Zhang, H.L., Saif, F., Jing, H.: Selective and switchable optical amplification with mechanical driven oscillators. Phys. Rev. A 100(1), 013813 (2019)","journal-title":"Phys. Rev. A"},{"issue":"12","key":"3686_CR61","doi-asserted-by":"publisher","first-page":"1098","DOI":"10.1103\/PhysRev.58.1098","volume":"58","author":"T Holstein","year":"1940","unstructured":"Holstein, T., Primakoff, H.: Field dependence of the intrinsic domain magnetization of a ferromagnet. Phys. Rev. 58(12), 1098 (1940)","journal-title":"Phys. Rev."},{"issue":"14","key":"3686_CR62","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.147903","volume":"91","author":"C Sun","year":"2003","unstructured":"Sun, C., Li, Y., Liu, X.: Quasi-spin-wave quantum memories with a dynamical symmetry. Phys. Rev. Lett. 91(14), 147903 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"3686_CR63","volume-title":"Quantum Optics","author":"DF Walls","year":"2007","unstructured":"Walls, D.F., Milburn, G.J.: Quantum Optics. Springer, Berlin (2007)"},{"issue":"12","key":"3686_CR64","doi-asserted-by":"publisher","first-page":"5288","DOI":"10.1103\/PhysRevA.35.5288","volume":"35","author":"EX DeJesus","year":"1987","unstructured":"DeJesus, E.X., Kaufman, C.: Routh-Hurwitz criterion in the examination of eigenvalues of a system of nonlinear ordinary differential equations. Phys. Rev. A 35(12), 5288 (1987)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"3686_CR65","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.65.032314","volume":"65","author":"G Vidal","year":"2002","unstructured":"Vidal, G., Werner, R.F.: Computable measure of entanglement. Phys. Rev. A 65(3), 032314 (2002)","journal-title":"Phys. Rev. A"},{"issue":"23","key":"3686_CR66","doi-asserted-by":"publisher","DOI":"10.1088\/0953-4075\/41\/23\/235503","volume":"41","author":"M Abdel-Aty","year":"2008","unstructured":"Abdel-Aty, M., Yu, T.: Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field. J. Phys. B At. Mol. Opt. Phys. 41(23), 235503 (2008)","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"issue":"2","key":"3686_CR67","doi-asserted-by":"publisher","DOI":"10.1088\/0953-4075\/43\/2\/025501","volume":"43","author":"JS Zhang","year":"2009","unstructured":"Zhang, J.S., Chen, A.X., Abdel-Aty, M.: Two atoms in dissipative cavities in dispersive limit: entanglement sudden death and long-lived entanglement. J. Phys. B At. Mol. Opt. Phys. 43(2), 025501 (2009)","journal-title":"J. Phys. B At. Mol. Opt. Phys."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03686-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03686-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-022-03686-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,19]],"date-time":"2022-11-19T22:17:29Z","timestamp":1668896249000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-022-03686-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,7]]},"references-count":67,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2022,11]]}},"alternative-id":["3686"],"URL":"https:\/\/doi.org\/10.1007\/s11128-022-03686-4","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,7]]},"assertion":[{"value":"21 August 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 September 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"We declared that we have no conflict of interest to this work.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"370"}}