1. Yuriy M. Bunkov CRTBT - CNRS, Grenoble, France Magnetic Superfluidity (from HPD to Q – ball)

2. 1. Spin supercurrent 2 20 years of homogeneously precessing domain 3.Other coherent magnetic states in 3 He 4. Q-balls Spin supercurrent Fast relaxation in 3He-A Real explanation. Instability of homogeneous precession (Fomon, Borovik-Romanov, Bunkov, Dmitriev Mukharskiy) Review Strange Long Lived Induction Decay Signal

3. A.S. Borovik-Romanov Yu.M. Bunkov V.V.Dmitriev Yu.M.Mukharsky I.A.Fomin 1984 A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). I.A.Fomin, JETP Letters v.40, p.1036, (1984). HPD discovery 1.Closed geometry of the cell 2.Digital memory recorder. 1. 100% Long Lived IDS 2. Frequency changes with amplitude

4. e I  (r t)   Mass superflow  kiki Spin supercurrent

5. H H  Domain with Homogeneous Precession of Magnetization, 1984

6. H H  A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). Sov.Phys.JETPh, v.61, p.1199, (1985). I.A.Fomin, JETP Letters v.40, p.106, (1984). Domain with Homogeneous Precession of Magnetization, 1984

7. H H  A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). Sov.Phys.JETPh, v.61, p.1199, (1985). I.A.Fomin, JETP Letters v.40, p.1036, (1984). Domain with Homogeneous Precession of Magnetization, 1984  

8. H H  A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). Sov.Phys.JETPh, v.61, p.1199, (1985). I.A.Fomin, JETP Letters v.40, p.1036, (1984). Domain with Homogeneous Precession of Magnetization, 1984 JMJM J M = A  + B  

9. H H  A.S.Borovik-Romanov, Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, JETP Letters v.40, p.1033, (1984). Sov.Phys.JETPh, v.61, p.1199, (1985). I.A.Fomin, JETP Letters v.40, p.1036, (1984). Domain with Homogeneous Precession of Magnetization, 1984  H =  d E d d S z

10. s s s R(n  ) L S H L H S EdEd EdEd Yu.M.Bunkov, G.E.Volovik, Homogeneously Precessing Domains in 3He-B, JETP, v.76, p. 794, (1993). 0 0 1 1 SzSz LzLz

11. Dipole + magnetic gradient energy 104°  H L R(n,  ) S H Dipole energy Brinkman – Smith mode 0° 1.Magnetization conservation 2.Longitudinal Magnetization conservation

12. H H  RF JMJM Magnetization transport by Spin Supercurrent + Spin vortex phase slippage Critical current

13. H H  RF JMJM Josephson effect RF Linear and non-linear

14. HPD Catastropha PS Grenoble, 1999 Coherent, Magnetically Excited States Catastrophic relaxation Yu.M.Bunkov, V.V.Dmitriev, Yu.M.Mukharskiy, J.Nyeki, D.A.Sergatskov, Europhysics Letters, v.8, p.645, (1989).

15. Yu.M.Bunkov, G.E.Volovik, "On the possibility of the Homogeneously Precessing Domain in Bulk 3He-A", Europhys. Lett, v. 21, p. 837 (1993) Yu.M.Bunkov, G.E.Volovik, " Homogeneously Precessing Domains in 3He-B", JETP, v.76, p. 794, (1993). Possible new coherent states V.V.Dmitriev et all. States with fractional magnetization V.V.Dmitriev et all. Analog state in Fermi liquid at non-hydrodinamic regime

16. s s s R(n  ) L S H L H S EdEd EdEd Yu.M.Bunkov, G.E.Volovik, Homogeneously Precessing Domains in 3He-B, JETP, v.76, p. 794, (1993). 0 0 1 1 SzSz LzLz

17. + surface energy L SS L L S H Nonwetting. conditions for coherent quantum precession Yu.M.Bunkov, O.D.Timofeevskaya, G.E.Volovik Phys. Rev. Lett., v. 73. p. 1817, (1994)  H

18. s s s R(n  ) L S H L H S EdEd EdEd 0 0 1 1 SzSz LzLz SzSz LzLz

20.  S L Surface Instability of Coherent Precession Yu.M. Bunkov, V.L. Golo, O.D. Timofeevskaya, Czechoslovak Journal of Phys. V. 46, S1, p. 213 (1996). Position, 0.1 mm Angles of deflection, degree

21. Position, 0.1 mm Angles of deflection, degree

22. 2. Coherenent State, which radiates the Persistent signal Moscow results Yu.M.Bunkov, S.N.Fisher, A.M.Guenault, G.R.Pickett, S.R.Zakazov, Physica B, v. 194, p. 827, (1994). Discovery, Lancaster, 1992 Yu.M.Bunkov, S.N.Fisher, A.M.Guenault, G.R.Pickett, Phys, Rev, Letters, v.69, p3092, (1992). ``Coherent Spin Precession and Texture in 3He-B.'' Yu.M. Bunkov, LT-21, Czechoslovak Journal of Phys. V. 46, S1, p. 231 (1996). Lancaster experimental conformation Yu.M. Bunkov, D.J. Cousins, M.P.Enrico, S.N.Fisher, G.R.Pickett, N.S.Shaw, W.Tych, LT-21, Czechoslovak Journal of Phys. V. 46, S1, p. 233 (1996). Moscow Lancaster

23. Q-ball - Spherically symmetric non-topological soliton with conserved global charge Q Proposed by S.Coleman (1985) in frame of relativistic field theory as a semi-classical model of elementary particles formation Current interest due to Q-balls dark matter model E(mQ)  <  E(Q) m In relativistic field theory  (r t)  exp(- i  t)  (r) Q = d 3 x[i(  d t  d t  ] E  d 3 x[ I  I 2   I  I 2  U(I  I)]  Q (r) = S - S z (r) dEd dS z =   =  H dd (S,L) S + (r) = S (r) e i  t In 3 He-B

24. LzLz SzSz 0 1 0 1 1 Q (r) = S - S z (r) dEd dS z =   =  H dd (S,L) S + (r) = S (r) e i  t In 3 He-B EdEd

25. x 90° S L   S x  L

26. x S L 

27. H L S Follow Voislav Golo algorithm (15 equations) Spatial case Yu.M.Bunkov, V.L.Golo, J Low Temp Phys, to be published + E grad + E surf

28. Position, 0.1 mm Angles of deflection, degree

29. Position, 0.1 mm Angles of deflection, degree

30. Position, 0.1 mm Angles of deflection, degree

31. Larmore freq. Max NMR shift

32. H L S 3D Q-ball

33. H L S Q ball on topological defect

34. HH Computer simulation Grenoble 2004 H Lz LHLH z Calculations of a spatial deflection of spin and orbit on basis of Poisson brackets and Takagi relaxation Follow Voislav Golo algorithm

35. Grenoble, 2004 Angles of deflection, degree Position, 0.1 mm

36. Grenoble, 2004 Angles of deflection, degree Position, 0.1 mm

37. 1% HPD

38. H L S

39. Non-linear Stationary Spin Waves in Flared out texture NMR of Rotated superfluid 3He-B O.T.Ikkala, G.E.Volovik, P.Y.Hakonen, Yu.M.Bunkov, S.T.Islander, G.A.Haradze, JETP Letters v.35, p.416 (1982). L First observation of Spin Waves in Orbital Texture D.D.Osheroff, Physica B, 90, 20 (1977). Angle L-H Before rotationDuring rotationAfter rotation H

40. Grenoble experiments with Non-linear Stationary Spin Waves 0.25 Tc A.-S. Chen, Yu.M. Bunkov, H. Godfrin, R. Schanen, F. Scheffer. J. Low Temp. Phys, 110, p. 51, (1998).

42. Following Landau and Lifchitz we consider an anharmonic oscillator with a third order of nonlinearity Non-linear Stationary Spin-waves – or Q ball, if you like! A.S. Chen,Yu. M. Bunkov, H. Godfrin, R. Schanen and F. Scheffler J. of Low Temp. Phys. 113, 693 (1998).

43. HH   H  =  H+ Hz  Quantum billiard Anne-Sophie CHEN, Ph D Thesis, Grenoble, (1999)

44. Grenoble, 1999 Off-resonante NMR excitation D.J.Cousins, S.N.Fisher, A.I.Gregory, G.R.Pickett, N.S.Shaw, Phys. Rev. Lett, 82, 4484, (1999) Anne-Sophie CHEN, Ph D Thesis, Grenoble, (1999) s p d  rf  Qb  dd

45. Identity of Non-linear SSW and Persistent Signals Grenoble, 1997. A.-S. Chen, Yu.M. Bunkov, H. Godfrin, R. Schanen, F. Scheffer. J. Low Temp. Phys, 110, p. 51, (1998).

46. Conclusions 5. Many interesting results by Lancaster Group Spatial Manipulation of the Persistent Precessing Spin Domain in Superfluid 3He-B By: D. I. Bradley; D. O. Clubb; S. N. Fisher; A. M. Guénault; C. J. Matthews; G. R.Pickett;P.Skyba J. Low Temp.Phys, 134, 351, (2004 ) and references there 6. Off-resonance excitation, original properties of Q - ball type soliton solutions 4. PS radiates by SSW mode condensed in the minima of texture potential At low temperatures Orbital momentum participate in Magnetization precession 3. Q ball - like structures forms and can be found experimentally in superfluid 3 He as a localized modes of SSW. They can be attracted by topological defects. 3 He is a very good experimental system for studying Q -balls. 1. First Excited Coherent Quantum State of 3 He, discovered in 1984, has very reach magnetic extension of superfluid properties: The Spin supercurrent, Josephson phenomena, phase slippage, spin vortices, magnetis coherent states etc. was found 2. The catastrophic relaxation is now completely explained

47. Order parameter in superfluid 3 He-B R(n  ) L S H H L S Min. d-d energy Vd  = 104° R(n  ) k d L=1, L k = 0 S=1, S d = 0

48. S L n L=R(n  ) S