Superfluid 3He is a well-known condensed matter whose properties are described by quantum field theory. Upon transition to superfluid states, gauge and spin and orbital rotational symmetries are violated simultaneously, demonstrating the properties of antiferromagnetic superfluid liquid crystals. In these systems, spin superfluidity was discovered - quantum transfer of spins controlled by the gradient of the magnetization precession phase. Spin supercurrents provide coherence during the magnetization precession: the precession becomes coherent even in a strongly inhomogeneous magnetic field. This leads to a long-lived signal of free induction, which was observed experimentally, see Review [1]. An even more complex interaction between the spin and orbital degrees of freedom leads to the formation of an extremely long live signal, which was explained in terms of the Coleman Q-ball model [2].

For a long time, magnetic resonance in solid-state magnets was considered in the limit of small perturbations, which corresponds to a low concentration of no equilibrium magnons. However, at high concentrations, magnons can experience Bose condensation, as in superfluid 3He. Moreover, in the case of a repulsive interaction, magnons can form a superfluid state and exhibit spin superfluidity properties in a solid magnets [3]. In particular, manifestations of a superfluid spin state in yttrium iron garnet (YIG) at room temperature have recently been discovered [4].

This article presents the results of observations of a very long-lived induction decay signal obtained in a YIG at room temperature. Its properties are partially similar to the Q-ball observed in superfluid 3He. Nevertheless, there are some fundamental differences with the Q-ball, which require the correct theoretical explanation. The formation of this long-lived signal can be a manifestation of quantum field theory at room temperature.

 [1]. Yu. M. Bunkov, G. E. Volovik  “Spin superfluidity and magnon BEC”

Chapter IV of the book "Novel Superfluids", eds. K. H. Bennemann and J. B. Ketterson, Oxford University press, (2013) .

[2].  S. Autti, Yu. M. Bunkov, V. B. Eltsov,   et al. “Self-trapping of magnon Bose-Einstein condensates in the ground and excited levels: from harmonic  to a box confinement” 

Phys. Rev. Lett. 108, 145303 (2012).

[3]. Yu. M. Bunkov,  E. M. Alakshin,2 R. R. Gazizulin, et al., “High-Tc Spin Superfluidity in Antiferromagnets” Phys. Rev. Lett. 108, 177002 (2012).

[4]. Yu. M. Bunkov, A.Farhutdinov A. N. Kuzmichev, et al., “The magnonic superfluid droplet at room temperature”  https://arxiv.org/pdf/1911.03708.pdf

Yu.M.Bunkov, P.M.Vetoshko, A.N.Kuzmichev, G.V.Mamin. S.B.Orlinsky, T.R.Safin, V.I.Belotelov, M.S.Tagirov.  

JETP Letters 111, issue 1 (2020)