The new mode of magnetization precession in superfluid 3 He-A in a squeezed aerogel has been recently reported. We consider this mode in terms of the Bose-Einstein condensation (BEC) of magnons. The difference between magnon BEC states in 3 He-A and in 3 He-B is discussed.
PACS:The discovery [1] and detailed investigations of the phase-coherent precession of magnetization in superfluid 3 He-B generated a search for similar phenomena in other systems. Superfluid 3 He-A could be a proper system. However, it was found that under typical conditions the coherent precession in 3 He-A is unstable [2] because of the convex shape of spin-orbit energy potential as function of magnetization [3,4]. It was suggested that the shape of potential can be inverted and thus the coherent precession can be stabilized if the orbital momentum of Cooper pairs in 3 He-A is oriented along the applied magnetic field [5]. Recently such orientation has been reached for 3 He-A immersed in the axially squeezed aerogel [6], and the first experiments with the coherently precessing state (CPS) of magnetization have been reported [7]. Here we discuss the phenomenon of the coherent precession of magnetization in superfluid 3 He-A in terms of the Bose-Einstein condensation (BEC) of magnons, and consider the difference between magnon BEC states in 3 He-A (CPS) and in 3 He-B (HPD). BEC is one of the most remarkable quantum phenomena. It corresponds to formation of collective quantum state, in which the macroscopic number of particles is governed by a single wave function. The formation of Bose-Einstein condensate was predicted by Einstein in 1925, for review see e.g. [8]. The almost perfect BEC state was observed in ultra could atomic gases. In Bose liquids, the BEC is strongly modified by interactions, but still remains the key mechanism for formation of coherent quantum state, which experiences the phenomenon of superfluidity: nondissipative superfluid current. In liquid 4 He the depletion of the condensate is very large: in the limit of zero temperature only about 10% of particles occupy the state with zero momentum. Nevertheless the whole liquid (100% of atoms) forms the 1) yuriy.bunkov@grenoble.cnrs.fr; volovik@boojum.hut.fi coherent quantum state at T = 0, so that the superfluid density equals the total density, ρ s (T = 0) = ρ. The latter is valid for any monoatomic superfluid system with translational invariance, including superfluid 3 He with the non BEC mechanism of coherent quantum state. If translational invariance is violated by impurities, crystal fields or other inhomogeneity, the superfluid component is suppressed:Superfluidity is a very general quantum property of matter at low temperatures, with variety of possible nondissipative superfluid currents, such as supercurrent of electric charge in superconductors; hypercharge supercurrent in the vacuum of Standard Model; supercurrent of color charge in a dense quark matter; etc. The origin of superfluidity is the spontaneous violation of the U (1) symmetry related to the conservation of ...