The propagation of an ultrasonic gigahertz pulse in a low-temperature crystal containing paramagnetic ions with the inversed population of Zeeman sublevels of the resonance spin–phonon transition has been studied. An integrodifferential parabolic equation with a nonlinear autonomous source and irreversible losses has been obtained in the fast phase relaxation approximation for a local relative deformation of a pulse. The exact analytical solution of this equation in the form of a dissipative soliton with an asymmetric temporal profile has been obtained and analyzed in detail. The velocity of the soliton is close to the linear group velocity of ultrasound. It has shown that such a soliton can be formed only if irreversible losses caused by processes that are not related to spin–phonon transitions exist in addition to losses caused by the phase relaxation of spin–phonon transitions.
Similar content being viewed by others
REFERENCES
F. V. Bunkin, Yu. A. Kravtsov, and G. A. Lyakhov, Sov. Phys. Usp. 29, 607 (1986)].
V. A. Golenishchev-Kutuzov, V. V. Samartsev, N. K. Solovarov, and B. M. Khabibullin, Magnetic Quantum Acoustics (Nauka, Moscow, 1977) [in Russian].
S. L. McCall and E. L. Hahn, Phys. Rev. Lett. 18, 908 (1967).
N. S. Shiren, Phys. Rev. B 2, 2471 (1970).
G. A. Denisenko, J. Exp. Theor. Phys. 33, 1220 (1971).
V. V. Samartsev, B. P. Smolyakov, and R. Z. Sharipov, JETP Lett. 20, 296 (1974).
A. A. Zabolotskii, JETP Lett. 77, 464 (2003).
S. V. Sazonov, J. Exp. Theor. Phys. 109, 57 (2009).
S. V. Sazonov and N. V. Ustinov, Roman. Rep. Phys. 72, 508 (2020).
N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and Ph. Grelu, Int. J. Bifurc. Chaos 19, 2621 (2009).
N. N. Rosanov, Dissipative Optical Solitons. From Micro to Nano and Atto (Fizmatlit, Moscow, 2011) [in Russian].
N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Appl. Phys. Lett. B 81, 937 (2005).
C. H. Tsang, B. A. Malomed, and K. W. Chow, Phys. Rev. E 84, 066609 (2011).
N. A. Veretenov, N. N. Rosanov, and S. V. Fedorov, Phys. Rev. Lett. 117, 183901 (2016).
S. V. Fedorov, N. N. Rosanov, and N. A. Veretenov, JETP Lett. 107, 327 (2018).
S. K. Turitsyn, N. N. Rosanov, I. A. Yarutkina, A. E. Bednyakova, S. V. Fedorov, O. V. Shtyrina, and M. P. Fedoruk, Phys. Usp. 59, 642 (2016).
V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 36, 85 (2011).
S. Yanchuk, S. Ruschel, J. Sieber, and M. Wolfrum, Phys. Rev. Lett. 123, 053901 (2019).
T. Mayteevarunyoo, B. A. Malomed, and D. V. Skryabin, Opt. Express 27, 037364 (2019).
S. V. Sazonov, JETP Lett. 53, 420 (1991).
S. V. Sazonov, J. Phys: Condens. Matter 7, 175 (1995).
A. Yu. Parkhomenko and S. V. Sazonov, J. Exp. Theor. Phys. 87, 864 (1998).
S. V. Sazonov, Phys. Usp. 44, 631 (2001).
D. A. Dolinina, A. S. Shalin, and A. V. Yulin, JETP Lett. 110, 744 (2019).
D. A. Dolinina, A. S. Shalin, and A. V. Yulin, JETP Lett. 111, 268 (2020).
D. A. Dolinina, A. S. Shalin, and A. V. Yulin, JETP Lett. 112, 71 (2020)].
V. M. Levin, E. S. Morokov, and K. A. Valuev, JETP Lett. 113, 61 (2021)].
U. Kh. Kopvillem and V. D. Korepanov, Sov. Phys. JETP 41, 211 (1961).
C. Kittel, Phys. Rev. Lett. 6, 449 (1961).
E. B. Tucker, Phys. Rev. Lett. 6, 547 (1961).
J. W. Tucker and V. W. Rampton, Microwave Ultrasonics in Solid State Physics (North-Holland, Amsterdam, 1972).
S. V. Sazonov, J. Exp. Theor. Phys. 91, 16 (2000)].
K. N. Baranskii, Physical Acoustics of Crystals (Mosk. Gos. Univ., Moscow, 1991) [in Russian].
V. A. Krasil’nikov and V. V. Krylov, Introduction to Physical Acoustics (Nauka, Moscow, 1984) [in Russian].
M. D. Crisp, Phys. Rev. A 8, 2128 (1973).
P. G. Kryukov and V. S. Letokhov, Sov. Phys. Usp. 12, 641 (1970).
R. A. Fisher, Ann. Eugen. 7, 355 (1937).
M. J. Ablowitz and A. Zeppetella, Bull. Math. Biol. 41, 835 (1979).
N. N. Rosanov and S. V. Fedorov, Opt. Spectrosc. 72, 782 (1992).
N. N. Rosanov and S. V. Fedorov, Opt. Spectrosc. 84, 767 (1998).
M. M. Pieczarka, D. Poletti, C. Schneider, S. Höfling, E. A. Ostrovskaya, G. Sek, and M. Syperek, APL Photon. 5, 086103 (2020).
J. de Klerk, Phys. Rev. A 139, 1635 (1965).
S. V. Voronkov and S. V. Sazonov, JETP 93, 236 (2001).
A. A. Zabolotskii, JETP Lett. 76, 607 (2002).
A. A. Zabolotskii, Phys. Rev. E 67, 066606 (2003).
A. V. Gulakov and S. V. Sazonov, J. Phys.: Condens. Matter 16, 1733 (2004).
S. V. Sazonov and N. V. Ustinov, Phys. Rev. E 73, 056614 (2006).
S. V. Sazonov and N. V. Ustinov, Theor. Math. Phys. 151, 632 (2007).
Funding
This work was supported by the Russian Science Foundation (project no. 17-11-01157).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by R. Tyapaev
Rights and permissions
About this article
Cite this article
Sazonov, S.V. Ultrasonic Dissipative Soliton in a Nonequilibrium Paramagnetic Crystal. Jetp Lett. 113, 592–598 (2021). https://doi.org/10.1134/S0021364021090101
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364021090101