High-cooperativity cavity QED with magnons at microwave frequencies

Physical Review Applied

Volumn 2, Issue 5, 2014, Pages

  Goryachev, Maxim ^a   Farr, Warrick G ^a   Creedon, Daniel L ^a   Fan, Yaohui ^a   Kostylev, Mikhail ^a   Tobar, Michael E ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC FIELDS; PHOTONS; YTTRIUM IRON GARNET;

CAVITY LINEWIDTHS; COOPERATIVITY; COUPLING STRENGTHS; FILLING FACTOR; MAGNETIC DIPOLE; MILLIKELVIN TEMPERATURES; STRONG-COUPLING REGIME; SUBMILLIMETERS;

MICROWAVE FREQUENCIES;

EID: 84922860711     PISSN: None     EISSN: 23317019     Source Type: Journal    
DOI: 10.1103/PhysRevApplied.2.054002     Document Type: Article

References (56)

1. E. T. Jaynes and F. W. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proc. IEEE 51, 89 (1963). IEEPAD 0018-9219 10.1109/PROC.1963.1664
2. Michael Tavis and Frederick W. Cummings, Exact solution for an (Equation presented)-molecule-radiation-field Hamiltonian, Phys. Rev. 170, 379 (1968). PHRVAO 0031-899X 10.1103/PhysRev.170.379
3. Subhadeep Gupta, Kevin L. Moore, Kater W. Murch, and Dan M. Stamper-Kurn, Cavity nonlinear optics at low photon numbers from collective atomic motion, Phys. Rev. Lett. 99, 213601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.213601
4. Cristiano Ciuti and Iacopo Carusotto, Input-output theory of cavities in the ultrastrong-coupling regime: The case of time-independent cavity parameters, Phys. Rev. A 74, 033811 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.033811
5. M. H. Devoret, Steven Girvin, and Robert Schoelkopf, Circuit-QED: How strong can the coupling between a Josephson junction atom and a transmission line resonator be?, Ann. Phys. (Berlin) 16, 767 (2007). ANPYA2 0003-3804 10.1002/andp.200710261
6. T. Niemczyk, F. Deppe, H. Huebl, E. P. Menzel, F. Hocke, M. J. Schwarz, J. J. Garcia-Ripoll, D. Zueco, T. Hummer, E. Solano, A. Marx, and R. Gross, Circuit quantum electrodynamics in the ultrastrong-coupling regime, Nat. Phys. 6, 772 (2010). NPAHAX 1745-2473 10.1038/nphys1730
7. Jonathan Plumridge, Edmund Clarke, Ray Murray, and Chris Phillips, Ultra-strong-coupling effects with quantum metamaterials, Solid State Commun. 146, 406 (2008). SSCOA4 0038-1098 10.1016/j.ssc.2008.03.027
8. S. Agarwal, S. M. Hashemi Rafsanjani, and J. H. Eberly, Tavis-Cummings model beyond the rotating wave approximation: Quasidegenerate qubits, Phys. Rev. A 85, 043815 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043815
9. E. K. Irish, J. Gea-Banacloche, I. Martin, and K. C. Schwab, Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator, Phys. Rev. B 72, 195410 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.195410
10. C. Maissen, G. Scalari, D. Turčinková, D. Hagenmüller, S. De Liberato, C. Ciuti, C. Reichl, D. Schuh, W. Wegscheider, M. Beck, and J. Faist, Ultrastrong coupling of the cyclotron transition of a 2D electron gas to a THz metamaterial, Science 335, 1323 (2012). SCIEAS 0036-8075 10.1126/science.1216022
11. Stéphane Kéna-Cohen, Stefan A. Maier, and Donal D. C. Bradley, Ultrastrongly coupled exciton-polaritons in metal-clad organic semiconductor microcavities, Adv. Opt. Mater. 1, 827 (2013). 2195-1071 10.1002/adom.201300256
12. Andrea E. Schlather, Nicolas Large, Alexander S. Urban, Peter Nordlander, and Naomi J. Halas, Near-field mediated plexcitonic coupling and giant Rabi splitting in individual metallic dimers, Nano Lett. 13, 3281 (2013). NALEFD 1530-6984 10.1021/nl4014887
13. T. Schwartz, J. A. Hutchison, C. Genet, and T. W. Ebbesen, Reversible switching of ultrastrong light-molecule coupling, Phys. Rev. Lett. 106, 196405 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.196405
14. Y. Todorov, A. M. Andrews, R. Colombelli, S. De Liberato, C. Ciuti, P. Klang, G. Strasser, and C. Sirtori, Ultrastrong light-matter coupling regime with polariton dots, Phys. Rev. Lett. 105, 196402 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.196402
15. Hanhee Paik, D. I. Schuster, Lev S. Bishop, G. Kirchmair, G. Catelani, A. P. Sears, B. R. Johnson, M. J. Reagor, L. Frunzio, L. I. Glazman, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture, Phys. Rev. Lett. 107, 240501 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.240501
16. Chad Rigetti, Jay M. Gambetta, Stefano Poletto, B. L. T. Plourde, Jerry M. Chow, A. D. Córcoles, John A. Smolin, Seth T. Merkel, J. R. Rozen, George A. Keefe, Mary B. Rothwell, Mark B. Ketchen, and M. Steffen, Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms, Phys. Rev. B 86, 100506 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.100506
17. M. Gessner, M. Ramm, T. Pruttivarasin, A. Buchleitner, H-P. Breuer, and H. Haffner, Local detection of quantum correlations with a single trapped ion, Nat. Phys. 10, 105 (2014). NPAHAX 1745-2473 10.1038/nphys2829
18. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R. S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics, Nature (London) 431, 162 (2004). NATUAS 0028-0836 10.1038/nature02851
19. J. P. Reithmaier, G. Sek, A. Loffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Strong coupling in a single quantum dot-semiconductor microcavity system, Nature (London) 432, 197 (2004). NATUAS 0028-0836 10.1038/nature02969
20. Yoshiya Sato, Yoshinori Tanaka, Jeremy Upham, Yasushi Takahashi, Takashi Asano, and Susumu Noda, Strong coupling between distant photonic nanocavities and its dynamic control, Nat. Photonics 6, 56 (2012). NPAHBY 1749-4885 10.1038/nphoton.2011.286
21. K. Henschel, J. Majer, J. Schmiedmayer, and H. Ritsch, QED with an ultracold ensemble on a chip: Prospects for strong magnetic coupling at finite temperatures, Phys. Rev. A 82, 033810 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.033810
22. R. Amsüss, Ch. Koller, T. Nöbauer, S. Putz, S. Rotter, K. Sandner, S. Schneider, M. Schramböck, G. Steinhauser, H. Ritsch, J. Schmiedmayer, and J. Majer, Cavity QED with magnetically coupled collective spin states, Phys. Rev. Lett. 107, 060502 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.060502
23. Sh. Barzanjeh, M. Abdi, G. J. Milburn, P. Tombesi, and D. Vitali, Reversible optical-to-microwave quantum interface, Phys. Rev. Lett. 109, 130503 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.130503
24. Warrick G. Farr, Daniel L. Creedon, Maxim Goryachev, Karim Benmessai, and Michael E. Tobar, Ultrasensitive microwave spectroscopy of paramagnetic impurities in sapphire crystals at millikelvin temperatures, Phys. Rev. B 88, 224426 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.224426
25. P. Bushev, A. K. Feofanov, H. Rotzinger, I. Protopopov, J. H. Cole, C. M. Wilson, G. Fischer, A. Lukashenko, and A. V. Ustinov, Ultralow-power spectroscopy of a rare-earth spin ensemble using a superconducting resonator, Phys. Rev. B 84, 060501 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.060501
26. S. Probst, H. Rotzinger, S. Wünsch, P. Jung, M. Jerger, M. Siegel, A. V. Ustinov, and P. A. Bushev, Anisotropic rare-earth spin ensemble strongly coupled to a superconducting resonator, Phys. Rev. Lett. 110, 157001 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.157001
27. Torsten Gaebel, Michael Domhan, Iulian Popa, Christoffer Wittmann, Philipp Neumann, Fedor Jelezko, James R. Rabeau, Nikolas Stavrias, Andrew D. Greentree, Steven Prawer, Jan Meijer, Jason Twamley, Philip R. Hemmer, and Jorg Wrachtrup, Room-temperature coherent coupling of single spins in diamond, Nat. Phys. 2, 408 (2006). NPAHAX 1745-2473 10.1038/nphys318
28. Atac Imamoʇlu, Cavity QED based on collective magnetic dipole coupling: Spin ensembles as hybrid two-level systems, Phys. Rev. Lett. 102, 083602 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.083602
29. Y. Kubo, F. R. Ong, P. Bertet, D. Vion, V. Jacques, D. Zheng, A. Dréau, J.-F. Roch, A. Auffeves, F. Jelezko, J. Wrachtrup, M. F. Barthe, P. Bergonzo, and D. Esteve, Strong coupling of a spin ensemble to a superconducting resonator, Phys. Rev. Lett. 105, 140502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.140502
30. Hua Wu, Richard E. George, Janus H. Wesenberg, Klaus Mølmer, David I. Schuster, Robert J. Schoelkopf, Kohei M. Itoh, Arzhang Ardavan, John J. L. Morton, and G. Andrew D. Briggs, Storage of multiple coherent microwave excitations in an electron spin ensemble, Phys. Rev. Lett. 105, 140503 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.140503
31. Xiaobo Zhu, Shiro Saito, Alexander Kemp, Kosuke Kakuyanagi, Shin-ichi Karimoto, Hayato Nakano, William J. Munro, Yasuhiro Tokura, Mark S. Everitt, Kae Nemoto, Makoto Kasu, Norikazu Mizuochi, and Kouichi Semba, Coherent coupling of a superconducting flux qubit to an electron spin ensemble in diamond, Nature (London) 478, 221 (2011). NATUAS 0028-0836 10.1038/nature10462
32. Cavity Optomechanics: Nano- and Micromechanical Resonators Interacting with Light, edited by Markus Aspelmeyer, Tobias J. Kippenberg, and Florian Marquardt, Quantum Science and Technology Vol. VIII (Springer, New York, 2014).
33. V. Cherepanov, I. Kolokolov, and V. Lvov, The saga of YIG: Spectra, thermodynamics, interaction and relaxation of magnons in a complex magnons, Phys. Rep. 229, 81 (1993). PRPLCM 0370-1573 10.1016/0370-1573(93)90107-O
34. Ö. O. Soykal and M. E. Flatté, Coherent strong-field coupling of a ferromagnetic nanomagnet with a photonic cavity, SPIE Int. Soc. Opt. Eng., 7760, 77600G (2010). PSISDG 0277-786X 10.1117/12.860725
35. Ö. O. Soykal and M. E. Flatté, Size dependence of strong coupling between nanomagnets and photonic cavities, Phys. Rev. B 82, 104413 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.104413
36. Ö. O. Soykal and M. E. Flatté, Strong field interactions between a nanomagnet and a photonic cavity, Phys. Rev. Lett. 104, 077202 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.077202
37. Hans Huebl, Christoph W. Zollitsch, Johannes Lotze, Fredrik Hocke, Moritz Greifenstein, Achim Marx, Rudolf Gross, and Sebastian T. B. Goennenwein, High cooperativity in coupled microwave resonator ferrimagnetic insulator hybrids, Phys. Rev. Lett. 111, 127003 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.127003
38. Yutaka Tabuchi, Seiichiro Ishino, Toyofumi Ishikawa, Rekishu Yamazaki, Koji Usami, and Yasunobu Nakamura, Hybridizing ferromagnetic magnons and microwave photons in the quantum limit, Phys. Rev. Lett. 113, 083603 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.083603
39. X. Zhang, Ch.-L. Zou, L. Jiang, and H. X. Tang, Strongly coupled magnons and cavity microwave photons, Phys. Rev. Lett. 113, 156401 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.156401
40. M. Goryachev and M. E. Tobar, Microwave frequency magnetic field manipulation systems and methods and associated application instruments, apparatus and system, U.S. Patent No. AU2014,903,143 (12 August 2014).
41. J-M. Le Floch, Y. Fan, M. Aubourg, D. Cros, N. C. Carvalho, Q. Shan, J. Bourhill, E. N. Ivanov, G. Humbert, V. Madrangeas, and M. E. Tobar, Rigorous analysis of highly tunable cylindrical transverse magnetic mode re-entrant cavities, Rev. Sci. Instrum. 84, 125114 (2013). RSINAK 0034-6748 10.1063/1.4848935
42. K. Fujisawa, General treatment of re-entrant resonant cavities, IRE Trans. Microwave Theory Tech. 6, 344 (1958). IRMTAK 0018-9480 10.1109/TMTT.1958.1125205
43. W. W. Hansen, A type of electrical resonator, J. Appl. Phys. 9, 654 (1938). JAPIAU 0021-8979 10.1063/1.1710371
44. M. Goryachev and M. E. Tobar, The 3D split-ring reentrant cavity lattice: A new metastructure for engineering arrays of coupled microwave harmonic oscillators, arXiv:1408.3228.
45. A. G. Gurevich, Ferrites at Microwave Frequencies (Consultants Bureau, New York, 1963).
46. P. C. Fletcher and R. O. Bell, Ferrimagnetic resonance modes in sphere, J. Appl. Phys. 30, 687 (1959). JAPIAU 0021-8979 10.1063/1.1735216
47. G. Wiese, Parametric excitation of spherical modes in ferromagnetic spheres by perpendicular and parallel pumping, Z. Phys. B 82, 453 (1991). ZPCMDN 0722-3277 10.1007/BF01357194
48. P. Roschmann and H. Dotsch, Properties of magnetostatic modes in spheroids, Phys. Status Solidi (b) 82, 11 (1977). PSSBBD 0370-1972 10.1002/pssb.2220820102
49. Irvin H. Solt, Temperature dependence of YIG magnetization, J. Appl. Phys. 33, 1189 (1962). JAPIAU 0021-8979 10.1063/1.1728651
50. K. Benmessai, M. E. Tobar, N. Bazin, P-Y. Bourgeois, Y. Kersalé, and V. Giordano, Creating traveling waves from standing waves from the gyrotropic paramagnetic properties of (Equation presented) ions in a high-(Equation presented) whispering gallery mode sapphire resonator, Phys. Rev. B 79, 174432 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.174432
51. Maxim Goryachev, Warrick G. Farr, Daniel L. Creedon, and Michael E. Tobar, Controlling a whispering-gallery-doublet-mode avoided frequency crossing: Strong coupling between photon bosonic and spin degrees of freedom, Phys. Rev. A 89, 013810 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.89.013810
52. Maxim Goryachev, Warrick G. Farr, Daniel L. Creedon, and Michael E. Tobar, Spin-photon interaction in a cavity with time-reversal symmetry breaking, Phys. Rev. B 89, 224407 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.89.224407
53. A. Tkalčec, S. Probst, D. Rieger, H. Rotzinger, S. Wünsch, N. Kukharchyk, A. D. Wieck, M. Siegel, A. V. Ustinov, and P. Bushev, Strong coupling of an (Equation presented)-doped (Equation presented) crystal to a superconducting resonator, Phys. Rev. B 90, 075112 (2014). PRBMDO 1098-0121 10.1103/PhysRevB.90.075112
54. Daniel L. Creedon, Yarema Reshitnyk, Warrick Farr, John M. Martinis, Timothy L. Duty, and Michael E. Tobar, High (Equation presented)-factor sapphire whispering gallery mode microwave resonator at single photon energies and millikelvin temperatures, Appl. Phys. Lett. 98, 222903 (2011). APPLAB 0003-6951 10.1063/1.3595942
55. John G. Hartnett, Joerg Jaeckel, Rhys G. Povey, and Michael E. Tobar, Resonant regeneration in the sub-quantum regime-A demonstration of fractional quantum interference, Phys. Lett. B 698, 346 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2011.03.022
56. R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev. 93, 99 (1954). PHRVAO 0031-899X 10.1103/PhysRev.93.99