Abstract
Theoretical studies are reported for the non-classical quantum statistical behavior of bosonic excitations in obliquely-magnetized nanowires under condition of microwave pumping. A dipole-exchange Hamiltonian is employed in which the external magnetic field is transverse to the length of the ferromagnetic nanowire, causing the magnetization to be canted away from the symmetry axis. Using a coherent magnon states representation we obtain explicit results for the temporal evolution of the magnon creation and annihilation operators. Applications are presented in the perpendicular pumping configuration for the initial collapse and then revival of the magnon occupation number, the super-Poissonian magnon-counting statistics, and the magnon squeezing. It is found that all of these processes are enhanced by having an oblique-magnetization state in the nanowire. For comparison, we also present results when the microwave pumping field is in the orientation parallel to the magnetization. It is found that the parallel and perpendicular microwave pumping configurations lead to important differences in the time dependences.
Graphical abstract
Similar content being viewed by others
References
R.E. Slusher, L.W. Hollberg, B. Yurke, J.C. Mertz, J.F. Valley, Phys. Rev. Lett. 55, 2409 (1985)
H. Yuen, J. Shapir, IEEE Trans. Inf. Theory 24, 657 (1978)
I. Averbukh, M. Shapiro, Phys. Rev. A 47, 5086 (1993)
S.L. Johnson, P. Beaud, E. Vorobeva, C.J. Milne, E.D. Murray, S. Fahy, G. Ingold, Phys. Rev. Lett. 102, 175503 (2009)
M. Artoni, J.L. Birman, Phys. Rev. B 44, 3736 (1991)
R. Auccaise, A.G. Araujo-Ferreira, R.S. Sarthour, I.S. Oliveira, T.J. Bonagamba, I. Roditi, Phys. Rev. Lett. 114, 043604 (2015)
Z. Jimin, A.V. Bragas, D.J. Lockwood, R. Merlin, Phys. Rev. Lett. 93, 107203 (2004)
Z. Jimin, A.V. Bragas, R. Merlin, D.J. Lockwood, Phys. Rev. B 73, 184434 (2006)
F. Peng, Europhys. Lett. 54, 688 (2001)
J. Wang, Z. Cheng, Y. Ping, J. Wan, A.A. Serga, Y. Zhang, Phys. Lett. A 353, 427 (2006)
F. Peng, Physica B 334, 183 (2003)
Z. Haghshenasfard, M.G. Cottam, J. Phys.: Condens. Matter 29, 045803 (2017)
E. Schlömann, J.J. Green, U. Milano, J. Appl. Phys. 31, S386 (1960)
N. Bloembergen, S. Wang, Phys. Rev. 93, 72 (1954)
H. Suhl, J. Phys. Chem. Solids 1, 209 (1957)
M.G. Cottam, A.N. Slavin, in Linear and Nolinear Spin Waves in Magnetic Films and Superlattices, edited by M.G. Cottam (World Scientific, Singapore, 1994), p. 1
D.D. Stancil, A. Prabhakar, in Spin Waves: Theory and Applications (Springer, US, 2009), p. 351
S.M. Rezende, N. Zagury, Phys. Lett. A 29, 47 (1969)
N. Zagury, S.M. Rezende. Phys. Lett. A 29, 616 (1969)
S.M. Rezende, in Magnonics: From Fundamentals to Applications, edited by S.O. Demokritov, A.N. Slavin (Springer, US, 2013), p. 39
M.O. Scully, M.S. Zubairy, in Quantum Optics (Cambridge University Press, UK, 1997), p. 656
S.M. Rezende. J. Phys.: Condens. Matter 22, 164211 (2010)
S.M. Rezende. Phys. Rev. B 79, 174411 (2009)
S.O. Demokritov, V.E. Demidov, O. Dzyapko, G.A. Melkov, A.A. Serga, B. Hillebrands, A.N. Slavin, Nature 443, 430 (2006)
V.E. Demidov, O. Dzyapko, S.O. Demokritov, G.A. Melkov, A.N. Slavin. Phys. Rev. Lett. 100, 047205 (2008)
C.B. de Araujo, S.M. Rezende, Phys. Rev. B 9, 3074 (1974)
C.B. de Araujo, Phys. Rev. B 10, 3961 (1974)
N. Zagury, S.M. Rezende, Phys. Rev. B 4, 201 (1971)
Z. Haghshenasfard, M.G. Cottam, J. Phys.: Condens. Matter 29, 195801 (2017)
Z. Haghshenasfard, M.G. Cottam, J. Phys.: Condens. Matter 30, 025802 (2018)
Z. Haghshenasfard, M.G. Cottam, IEEE Trans. Magn. 54, 1300609 (2018)
R.N. Costa Filho, M.G. Cottam, G.A. Farias, Phys. Rev. B 62, 6545 (2000)
H.T. Nguyen, A. Akbari-Sharbaf, M.G. Cottam, Phys. Rev. B 83, 214423 (2011)
T. Holstein, H. Primakoff, Phys. Rev. 58, 1098 (1940)
R.M. White, in Quantum Theory of Magnetism (Springer-Verlag, Berlin, Heidelberg, 2007), p. 359
Z. Haghshenasfard, M.G. Cottam, J. Phys.: Condens. Matter 30, 425802 (2018)
W. Magnus, Commun. Pure Appl. Math. 7, 649 (1954)
A. Kamra, W. Belzig, Phys. Rev. Lett. 116, 146601 (2016)
W. Belzig, Phys. Rev. B 71, 161301 (2005)
Y.-S. Park, Y. Ghosh, Y. Chen, A. Piryatinski, P. Xu, N.H. Mack, H.-L. Wang, V.I. Klimov, J.A. Hollingsworth, H. Htoon, Phys. Rev. Lett. 110, 117401 (2013)
Z. Haghshenasfard, M.G. Cottam, J. Phys.: Condens. Matter 28, 186001 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Haghshenasfard, Z., Cottam, M.G. Squeezing of nonlinear magnons in obliquely-magnetized nanowires under microwave pumping. Eur. Phys. J. B 92, 52 (2019). https://doi.org/10.1140/epjb/e2019-90589-8
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2019-90589-8